Inspecting method of elastic body, inspecting apparatus thereof, and dimension predicting program thereof

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First Claim
1. An inspecting method of an elastic body in a structure having two or more elastic bodies, said method comprising:
 observing a frequency response characteristic of said two or more elastic bodies when a vibration is applied to said structure having two or more elastic bodies; and
predicting a dimension of said two or more elastic bodies based on said frequency response characteristic;
wherein said frequency response characteristic is one of the characteristics selected from the group consisting of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies degrees.
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Abstract
In an inspecting method of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, the frequency response characteristics is picked up when a vibration is given to the piezoelectric/electrostrictive actuator, and the amount of displacement of the piezoelectric/electrostrictive actuator is predicted by the frequency response characteristics. The piezoelectric/electrostrictive actuator is precisely inspected without dissolution and destruction and without actual driving as a product.
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27 Claims
 1. An inspecting method of an elastic body in a structure having two or more elastic bodies, said method comprising:
observing a frequency response characteristic of said two or more elastic bodies when a vibration is applied to said structure having two or more elastic bodies; and predicting a dimension of said two or more elastic bodies based on said frequency response characteristic; wherein said frequency response characteristic is one of the characteristics selected from the group consisting of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies degrees.  View Dependent Claims (2)
 3. An inspecting method of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, said method comprising:
observing a frequency response characteristic of said piezoelectric/electrostrictive actuator when a vibration is applied to said piezoelectric/electrostrictive actuator; and predicting an amount of displacement of said piezoelectric/electrostrictive actuator based on said frequency response characteristic; wherein said frequency response characteristic is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.  View Dependent Claims (4)
 5. An inspecting method of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, said method comprising:
observing a frequency response characteristic of said piezoelectric/electrostrictive sensor when a vibration is applied to said piezoelectric/electrostrictive sensor; and predicting a detecting sensitivity of said piezoelectric/electrostrictive sensor based on said frequency response characteristic; wherein said frequency response characteristic is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.  View Dependent Claims (6)
 7. An inspecting apparatus of an elastic body in a structure having two or more elastic bodies, said apparatus comprising:
means for observing a frequency response characteristic of said two or more elastic bodies when a vibration is applied to said structure having said two or more elastic bodies; and means for predicting a dimension of said two or more elastic bodies based on said frequency response characteristic; wherein said frequency response characteristic is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.  View Dependent Claims (8)
 9. An inspecting apparatus of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, said apparatus comprising:
means for observing a frequency response characteristic of said piezoelectric/electrostrictive actuator when a vibration is applied to said piezoelectric/electrostrictive actuator; and means for predicting an amount of displacement of said piezoelectric/electrostrictive actuator based on said frequency response characteristic; wherein said frequency response characteristic is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.  View Dependent Claims (10)
 11. An inspecting apparatus of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, said apparatus comprising:
means for observing a frequency response characteristic of said piezoelectric/electrostrictive sensor when a vibration is applied to said piezoelectric/electrostrictive sensor; and means for predicting a detecting sensitivity of said piezoelectric/electrostrictive sensor based on said frequency response characteristic; wherein said frequency response characteristic is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.
 12. An inspecting apparatus of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, said apparatus comprising:
means for observing a frequency response characteristic of said piezoelectric/electrostrictive sensor when a vibration is applied to said piezoelectric/electrostrictive sensor; and means for predicting a detecting sensitivity of said piezoelectric/electrostrictive sensor based on said frequency response characteristic; wherein said frequency response characteristic is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
 13. A dimension predicting program, for predicting a dimension of an elastic body in a structure having two or more of elastic bodies, provided on a computer readable medium to enable a computer to function as:
means for inputting a measurement value of a frequency response characteristic of a structure having two or more of elastic bodies whose predicted dimension is calculated; means for obtaining a predicted dimension of said elastic body of said structure based on a calculating formula of the predicted dimension; and means for outputting thus obtained predicted dimension of said elastic body of said structure to one of a CRT, printer, and a selector device that uses the obtained data to determine whether the structure is defective and selects defective structures for removal.
 14. A prediction program, for predicting an amount of displacement of a piezoelectric/electrostrictive actuator for predicting an amount of displacement of said piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, provided on a computer readable medium to enable a computer to function as:
means for inputting a frequency response characteristic of said piezoelectric/electrostrictive actuator whose predicted amount of displacement is calculated; means for obtaining a predicted amount of displacement of said piezoelectric/electrostrictive actuator based on a calculating formula of the predicted amount of displacement; and means for outputting thus obtained predicted amount of displacement of said piezoelectric/electrostrictive actuator to one of a CRT, printer, and a selector device that uses the obtained data to determine whether the structure is defective and selects defective structures for removal.
 15. A prediction program, for predicting a detecting sensitivity of a piezoelectric/electrostrictive sensor, provided on a computer readable medium to enable a computer to function as:
means for inputting a frequency response characteristic of a piezoelectric/electrostrictive sensor whose predicted detecting sensitivity is to be calculated; means for obtaining a predicted detecting sensitivity of said piezoelectric/electrostrictive sensor based on a calculating formula of said detecting sensitivity; and means for outputting thus obtained predicted detecting sensitivity of said piezoelectric/electrostrictive sensor to one of a CRT, printer, and a selector device that uses the obtained data to determine whether the structure is defective and selects defective structures for removal.
 16. An inspecting method of an elastic body in a structure having two or more elastic bodies, said method comprising:
observing a frequency response characteristic of said two or more elastic bodies of said structure when a vibration is applied to said structure; and predicting a dimension of said two or more elastic bodies of said structure based on said observed frequency characteristic of said two or more elastic bodies of said structure using data representing a relationship between a frequency response characteristic of a standard body having at least one known dimension and said dimension of said standard body as a vibration is applied thereto; wherein said frequency response characteristic is one of the characteristics selected from the group consisting of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies degrees.
 17. An inspecting method of an elastic body in a structure having two or more elastic bodies, said method comprising:
observing a frequency response characteristic of said two or more elastic bodies of said structure when a vibration is applied to said structure; and predicting a dimension of said two or more elastic bodies of said structure based on said observed frequency characteristic of said two or more elastic bodies of said structure using data representing a relationship between a frequency response characteristic of a standard body having at least one known dimension and said dimension of said standard body as a vibration is applied thereto; wherein said frequency response characteristic is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
 18. An inspecting apparatus of an elastic body in a structure having two or more elastic bodies, said apparatus comprising:
means for observing a frequency response characteristic of said two or more elastic bodies of said structure when a vibration is applied to said structure; and means for predicting a dimension of said two or more elastic bodies of said structure based on said observed frequency response characteristic of said two or more elastic bodies of said structure using data representing a relationship between an observed frequency response characteristic of a standard elastic body having at least one known dimension and said dimension of said standard body as a vibration is applied thereto; wherein said frequency response characteristic is one of the characteristics selected from the group consisting of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies degrees.
 19. An inspecting apparatus of an elastic body in a structure having two or more elastic bodies, said apparatus comprising:
means for observing a frequency response characteristic of said two or more elastic bodies of said structure when a vibration is applied to said structure; and means for predicting a dimension of said two or more elastic bodies of said structure based on said observed frequency response characteristic of said two or more elastic bodies of said structure using data representing a relationship between an observed frequency response characteristic of a standard elastic body having at least one known dimension and said dimension of said standard body as a vibration is applied thereto; wherein said frequency response characteristic is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
 20. An inspecting method of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, said method comprising:
observing a frequency response characteristic of said piezoelectric/electrostrictive actuator as a vibration is applied to said piezoelectric/electrostrictive actuator; and predicting an amount of displacement of said piezoelectric/electrostrictive actuator based on said observed frequency response characteristics of said piezoelectric/electrostrictive actuator using data representing a relationship between an observed frequency characteristic of a standard body having at least one known dimension and said dimension of said standard body when a vibration is applied thereto; wherein said frequency response characteristic is one of the characteristics selected from the group consisting of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies degrees.
 21. An inspecting method of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, said method comprising:
observing a frequency response characteristic of said piezoelectric/electrostrictive actuator as a vibration is applied to said piezoelectric/electrostrictive actuator; and predicting an amount of displacement of said piezoelectric/electrostrictive actuator based on said observed frequency response characteristics of said piezoelectric/electrostrictive actuator using data representing a relationship between an observed frequency characteristic of a standard body having at least one known dimension and said dimension of said standard body when a vibration is applied thereto; wherein said frequency response characteristic is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKLRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
 22. An inspecting apparatus of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, said apparatus comprising:
means for observing a frequency response characteristic of said piezoelectric/electrostrictive actuator when a vibration is applied to said piezoelectric/electrostrictive actuator; and means for predicting an amount of displacement of said piezoelectric/electrostrictive actuator based on said observed frequency response characteristic of said piezoelectric/electrostrictive actuator using data representing a relationship between an observed frequency response characteristic of a standard body having at least one known dimension and said dimension of said standard body as a vibration is applied to the standard body; wherein said frequency response characteristic is one of the characteristics selected from the group consisting of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies degrees.
 23. An inspecting apparatus of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, said apparatus comprising:
means for observing a frequency response characteristic of said piezoelectric/electrostrictive actuator when a vibration is applied to said piezoelectric/electrostrictive actuator; and means for predicting an amount of displacement of said piezoelectric/electrostrictive actuator based on said observed frequency response characteristic of said piezoelectric/electrostrictive actuator using data representing a relationship between an observed frequency response characteristic of a standard body having at least one known dimension and said dimension of said standard body as a vibration is applied to the standard body; wherein said frequency response characteristic is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
 24. An inspecting method of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, said method comprising:
observing a frequency response characteristic of said piezoelectric/electrostrictive sensor when a vibration is applied to said piezoelectric/electrostrictive sensor; and predicting a detection sensitivity of said piezoelectric/electrostrictive sensor based on said observed frequency response characteristic of said piezoelectric/electrostrictive sensor using data representing a relationship between an observed frequency characteristic of a standard body having at least one known dimension and said dimension of said standard body when a vibration is applied thereto; wherein said frequency response characteristic is one of the characteristics selected from the group consisting of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies degrees.
 25. An inspecting method of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, said method comprising:
observing a frequency response characteristic of said piezoelectric/electrostrictive sensor when a vibration is applied to said piezoelectric/electrostrictive sensor; and predicting a detection sensitivity of said piezoelectric/electrostrictive sensor based on said observed frequency response characteristic of said piezoelectric/electrostrictive sensor using data representing a relationship between an observed frequency characteristic of a standard body having at least one known dimension and said dimension of said standard body when a vibration is applied thereto; wherein said frequency response characteristic is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
 26. An inspecting apparatus of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, said apparatus comprising:
means for observing a frequency response characteristic of said piezoelectric/electrostrictive sensor when a vibration is applied to said piezoelectric/electrostrictive sensor; and means for predicting a detecting sensitivity of said piezoelectric/electrostrictive sensor based on said observed frequency characteristic of said piezoelectric/electrostrictive sensor using data representing a relationship between an observed frequency characteristic of a standard body having at least one known dimension and said dimension of said standard body when a vibration is applied thereto; wherein said frequency response characteristic is one of the characteristics selected from the group consisting of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies degrees.
 27. An inspecting apparatus of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, said apparatus comprising:
means for observing a frequency response characteristic of said piezoelectric/electrostrictive sensor when a vibration is applied to said piezoelectric/electrostrictive sensor; and means for predicting a detecting sensitivity of said piezoelectric/electrostrictive sensor based on said observed frequency characteristic of said piezoelectric/electrostrictive sensor using data representing a relationship between an observed frequency characteristic of a standard body having at least one known dimension and said dimension of said standard body when a vibration is applied thereto; wherein said frequency response characteristic is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
1 Specification
1. Field of the Invention
The present invention relates to an inspecting method, an inspecting apparatus, and a dimension predicting program of an elastic body with high precision, an inspecting method, an inspecting apparatus, and a dimension predicting program of a piezoelectric/electrostrictive actuator, and an inspecting method, an inspecting apparatus, and a dimension predicting program of a piezoelectric/electrostrictive sensor.
2. Description of the Related Art
Recently, the fields of optics, precision machines, and semiconductor manufacturing require a displacement control device for adjusting the length of optical path and the position of submicron order. In response to this requirement, a piezoelectric/electrostrictive device is developed, including a piezoelectric/electrostrictive actuator using the strain based on the inverse piezoelectric effect or electrostrictive effect upon applying an electric field to a ferroelectric member of an antiferroelectric member, and a piezoelectric/electrostrictive sensor using the charge generation upon applying the stress to the ferroelectric/antiferroelectric element based on the similar effects. The piezoelectric/electrostrictive device uses the charges or electric field induced by the strain of electricfield induction or stress as mentioned above. In particular, the piezoelectric/electrostrictive actuator has features that it is easily controlled for minute displacement, the mechanical/electrical energy conversion efficiency is higher, the power consumption is realized, and these thus contribute to the ultraprecise mounting and to the reduction in size and weight of product. Therefore, the application field might be enhanced.
The piezoelectric/electrostrictive actuator comprises a piezoelectric/electrostrictive operating unit structured by sequentially laminating a bottom electrode, a piezoelectric/electrostrictive element, and a top electrode on one surface of a ceramic base integrally formed by a thick supporting unit having a cavity and a vibrating unit for covering the cavity. In the abovementioned piezoelectric/electrostrictive actuator, an electric field is generated between the top electrode and the bottom electrode, then, the piezoelectric/electrostrictive element containing a piezoelectric/electrostrictive material is deformed and the vibrating unit is further vertically displaced. The piezoelectric/electrostrictive actuator is applied as an actuator unit of a precision machine using the operation for displacing the vibrating unit. For example, the piezoelectric/electrostrictive actuator controls the on/off operation of a switch or controls the fluid as a micro pump by vertically deforming the vibrating unit.
When the piezoelectric/electrostrictive actuator is used as a switch or an actuator of a micro pump and the amount of displacement is not sufficiently large, the amount of stroke is not sufficient and the piezoelectric/electrostrictive actuator does not function as the switch, or the throughput of fluid is not sufficient in the micro pump. The fluid is not pulled out depending on the case. Further, upon using a set of a plurality of piezoelectric/electrostrictive actuators, the on/off operation of switch is unstable or the throughput of fluid is unstable when the amount of displacement of the plurality of piezoelectric/electrostrictive actuators varies. Thus, the quality of switch or micro pump deteriorates. Therefore, when the same voltage is applied (the same electric field is generated), the piezoelectric/electrostrictive actuator requires the vibrating unit with the amount of displacement that is a predetermined one or more and is uniform. Therefore, when the piezoelectric/electrostrictive actuator is shipped as a product, the amount of displacement of the vibrating unit must directly be inspected by a laser Doppler vibrationmeter. However, the entire lots of the manufactured piezoelectric/electrostrictive actuators are inspected and then costs increase. Therefore, in place of this, another inspecting method is required.
NonPatent Document 1: “Shindo Kogaku” published by Yokendo and firstprinted in 1976, in Section 4.6 “Plate vibration” in Chapter 4 “Free vibration of distribution system” (pages 98 to 109)
NonPatent Document 2: “Kogyo Kiso Shindogaku” published by Yokendo and fourteenthprinted in 1989, in Chapter 4 “Lateral vibration of plainer plate” (pages 224 to 228)
In response to the abovementioned requests for the inspection of the piezoelectric/electrostrictive actuator, conventionally, the amount of displacement or uniformity of displacement is inspected by measuring the capacitance of a piezoelectric/electrostrictive element as a capacitor in the manufacturing process of the piezoelectric/electrostrictive actuator, upon applying the same voltage (the same electric field). According to the inspecting method, the piezoelectric/electrostrictive element of the piezoelectric/electrostrictive actuator is a displacement generating unit and, therefore, the electrode area, the distance between the electrodes, or the dielectric constant of the piezoelectric/electrostrictive element is totally equal based on a relation of a capacitance C (=εS/d) when the capacitance is equal. Thus, the amount of displacement of the piezoelectric/electrostrictive element (or piezoelectric/electrostrictive operating unit) is equal and the amount of displacement of the vibrating unit is totally equal. Thus, the amount of displacement is not varied.
However, the abovementioned conventional inspecting method does not necessarily have the high precision. Because it is considered that a component except for the piezoelectric/electrostrictive operating unit of the piezoelectric/electrostrictive actuator does not reflect advantages for inspection. Further, the piezoelectric/electrostrictive actuator is recently miniaturized and, thus, the minute deviation or variation in dimension seriously affects properties. The observation of cross section with destruction is required so as to inspect the minute deviation or variation in dimension and costs increase. Further, since the destruction is necessary for inspection, the shipped products cannot directly be inspected.
A device for directly inspecting the amount of displacement of the piezoelectric/electrostrictive actuator by a laser Doppler vibrationmeter is expensive and the inspection time increases, thereby raising costs. Many skilled persons are required and the inspection time increases to detect the amount of positional displacement by the inspection of appearance using a microscope in a manufacturing process, and costs thus increase. In addition to increase the costs, the method for inspecting the amount of positional displacement with destruction does not enable the inspected device to directly be used as a product, and only the sampling inspection is possible. The abovementioned problems are caused in a piezoelectric/electrostrictive sensor which requires the uniform sensorsensitivity with the same design and specification.
The present invention is devised in consideration of the abovementioned situations. It is an object of the present invention to provide a method for inspecting a piezoelectric/electrostrictive device (piezoelectric/electrostrictive actuator or a piezoelectric/electrostrictive sensor) with high precision without the actual driving as a product and dissolution and destruction.
As a result of many researches, the amount of displacement of the vibrating unit in the abovementioned piezoelectric/electrostrictive actuator greatly depends on elements of the mechanical property or form of the piezoelectric/electrostrictive actuator, such as rigidity of the overall piezoelectric/electrostrictive actuator including a base (including a vibrating unit and a supporting unit), the shape of vibrating unit, and forming position of the piezoelectric/electrostrictive operating unit to the vibrating unit.
Further, as a result of many researches, various frequency properties are checked upon vibrating the piezoelectric/electrostrictive actuator, and it is found that the elements of the mechanical property or form of the piezoelectric/electrostrictive actuator are predicted with high precision based on the frequency properties. Further, it is possible to structure a system for predicting the elements of the mechanical property or form of the piezoelectric/electrostrictive actuator, and it is found that the piezoelectric/electrostrictive actuator is predicted with high precision based on the predicted elements of the mechanical property or form of the piezoelectric/electrostrictive actuator. In addition, since the amount of displacement greatly depends on the elements of the mechanical property or form of the piezoelectric/electrostrictive actuator. Therefore, the amount of displacement of the vibrating unit in the piezoelectric/electrostrictive actuator is inspected with high precision.
Specifically, a predetermined relationship is established among a value of any frequency response characteristics depending on the design dimension of the piezoelectric/electrostrictive actuator, the dimensional deviation from a dimensional value for design of a specimen, and the amount of positional displacement. It is inspected, by obtaining the value of the frequency response characteristics, whether or not the dimensional deviation from the dimensional value for design of the specimen and the amount of positional displacement are within predetermined allowable values. Further, since a close relationship is established between the property of the amount of displacement of the piezoelectric/electrostrictive actuator and the dimensional deviation from the dimensional value for design, the amount of displacement is predicted from the frequency response characteristics and is converted for inspection.
In addition, as a result of many researches, one dimensional deviation of the piezoelectric/electrostrictive actuator, serving as a plate (plateshaped member), depends on the peak height of resonant waveform corresponding to a vibrating mode of (1, 2) degree, and another dimensional deviation of the piezoelectric/electrostrictive actuator depends on a ratio of resonance frequency corresponding to vibrating modes of (3, 1) degree and (1, 1) degree. As mentioned above, it is found that a factor of dimensional deviation has a characteristic resonance of degree ((m, n) degree). Further, a vibrating mode of a specific degree (referred to as a 3.5degree in the specification) which is not described in conventional documents exists and the resonance of the vibrating mode enables the prediction with excessively high precision of the dimensional deviation of the one part of the piezoelectric/electrostrictive actuator, serving as a plate member. In addition, the dimensional deviation is individually inspected or the amount of displacement of the piezoelectric/electrostrictive actuator is predicted and is inspected with high precision by obtaining a calculating formula based on the multiple linear regression analysis using the combination of the frequency properties.
Generally, as disclosed in NonPatent Document 1 and NonPatent Document 2, the vibration of the plate (plateshaped member) is expressed as a vibrating mode of (m, n) degree. When the plate is quadrate or rectangular, a vibrating mode of (m, n) degree is expressed in accordance with the number of nodes of stationary waves in the longitudinal and lateral directions, and when the plate is discshaped, a vibrating mode of (m, n) degree is expressed in accordance with the number of nodes of stationary waves in the circumferential and diameter directions. In the specification, the vibrating mode without any nodes is expressed as a first mode, and the vibrating mode having one node is expressed as a second mode. That is, when the plate is rectangular, the vibrating mode having (m−1) nodes in the longitudinal direction and (n−1) nodes in the lateral direction is expressed as a vibrating mode of (m, n) degree. The vibrating mode of resonance frequency is specified by vibrating the plate by a resonance frequency, measuring the vibration at a plurality of points of the plate by a laser Doppler vibrationmeter, totally analyzing the obtained vibration data, and observing the analyzing result on animation.
Similarly to the amount of displacement of the piezoelectric/electrostrictive actuator, the detecting sensitivity of the piezoelectric/electrostrictive sensor is inspected based on the foregoing. Further, the present invention is completed by finding that the dimensional inspecting method is applied to structures having an elastic body including a piezoelectric/electrostrictive device (piezoelectric/electrostrictive actuator or a piezoelectric/electrostrictive sensor). Specifically, the present invention provides the following means.
That is, it is one object of the present invention to provide inspecting method of an elastic body in a structure having two or more of elastic bodies which comprises picking up a frequency response characteristics of an elastic body when a vibration is given to a structure having two or more of elastic bodies, and predicting a dimension of said two or more of elastic bodies based on said frequency response characteristics.
The frequency response characteristics is obtained by directly measuring mechanical vibrations with a laser Doppler vibrationmeter or an acceleration sensor upon vibrating the elastic body by a vibration exciter or piezoelectric/electrostrictive element. However, in the case of the piezoelectric/electrostrictive actuator and the piezoelectric/electrostrictive sensor, the measurement is inexpensive and fast by measuring electrical impedance or the frequency response characteristics of gain and phase with a network analyzer and an impedance analyzer. The foregoing is applied to the entire present invention (inspecting method of the piezoelectric/electrostrictive actuator, inspecting method of the piezoelectric/electrostrictive sensor, inspecting apparatus of the elastic body, inspecting apparatus of the piezoelectric/electrostrictive actuator, inspecting apparatus of the piezoelectric/electrostrictive sensor, dimension predicting program of the elastic body, prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator, and inspecting method of the detecting sensitivity of the piezoelectric/electrostrictive sensor).
In the inspecting method of the elastic body according to the present invention, preferably, the frequency response characteristics is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees. Further, preferably, the dimension of the elastic body is predicted by using additionally a resonance frequency Fz of a degree other than the abovementioned degrees in combination with one or more of the abovementioned frequencies.
Preferably, the frequency response characteristics is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
Further, the dimension of the elastic body is predicted and estimated with high precision by multiple classification analysis based on the combination of the frequency properties.
The elastic body is easily inspected by determining whether or not a resonant peak of the resonance of a degree (m, n) appears, that is, determining whether or not the resonance of (m, n) degree is generated (this is applied to any embodiments of the present invention).
In the specification, the resonant waveform of the resonance of (m, n) degree is a waveform (curve) indicating the periphery of the resonant peak corresponding to the vibrating mode of (m, n) degree among waveforms indicated as the frequency properties of a predetermined frequency band. Although the frequency response characteristic is not limited, it includes a transmission property of mechanical vibrations, an electricalimpedance property, an electric transfer property, and an electric reflecting property. The frequency response characteristic is expressed with a chart using a frequency, as the abscissa, and gain and phase, impedance and phase, or admittance and phase, as the ordinate. The mechanical resonance is different as phenomena from electrical resonance. In the piezoelectric/electrostrictive actuator or piezoelectric/electrostrictive sensor, the mechanical resonance and the electrical resonance are observed with the matching resonance frequency. This phenomenon is applied to a piezoelectric resonator or a piezoelectric filter.
In the chart indicating the frequency response characteristics, the resonance of (m, n) degree is specified at a crest and/or trough portion having the peak of the resonant waveform. The resonant waveform corresponds to a waveform indicating the periphery of the crest and/or trough portion. The area of resonant waveform corresponds to an area of the crest and/or trough portion to a line as the base without the peak in the chart indicating the frequency response characteristics. The peak height of the resonant waveform is a value of the peak height of the crest and/or trough portion. The ordinate may be any of frequency properties, such as gain, impedance, admittance, and phase. However, preferably, the ordinate is phase in the case of electrical vibrations and further is gain in the case of mechanical vibrations. Because the line as the base is relatively flat and data processing is thus easy. The difference between the maximum value and the minimum value of the resonant waveform is preferably used in the chart using the impedance or admittance as the ordinate. In the case of using the impedance or admittance as the ordinate, the basic line becomes an upwardsloping or downwardsloping curve and/or a straight line, the resonance and the nonresonance are combined, the peak exists at the crest and the trough portion, and the difference between the crest portion and the trough portion is used as a property value for predicting the dimensional deviation or the amount of displacement.
In the inspecting method of the elastic body according to the present invention, preferably, the dimension of the elastic body is the amount of deviation between two arbitrary elastic bodies among two or more elastic bodies forming the structure. Preferably, the dimension of the elastic body is the amount of undulation of one arbitrary elastic body among two or more elastic bodies forming the structure.
Next, according to the present invention, there is provided an inspecting method of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, comprising the step of picking up a frequency response characteristics upon vibrating the piezoelectric/electrostrictive actuator and predicting the amount of displacement of the piezoelectric/electrostrictive actuator by the frequency response characteristics.
In the inspecting method of the piezoelectric/electrostrictive actuator according to the present invention, preferably, the frequency response characteristics is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.
In the inspecting method of the piezoelectric/electrostrictive actuator according to the present invention, preferably, a resonance frequency Fz of one or more and/or a capacitance CP of the piezoelectric/electrostrictive element is added to a frequency ratio FR of one or more and/or a frequency difference FD of one or more, and the amount of displacement of the piezoelectric/electrostrictive actuator is predicted by using any of the frequency properties or combining two or more of the frequency properties.
Preferably, the frequency response characteristics is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
Further, the dimension of elastic body is predicted and estimated with high precision by multiple classification analysis based on the combination of the frequency properties.
Next, according to the present invention, there is provided an inspecting method of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, comprising the step of picking up a frequency response characteristics when a vibration is given to the piezoelectric/electrostrictive actuator and predicting a detecting sensitivity of the piezoelectric/electrostrictive sensor based on the frequency response characteristics.
In the inspecting method of the piezoelectric/electrostrictive sensor according to the present invention, preferably, the frequency response characteristics is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.
In the inspecting method of the piezoelectric/electrostrictive sensor according to the present invention, preferably, a resonance frequency Fz of one or more and/or a capacitance CP of the piezoelectric/electrostrictive element is added to the frequency ratio FRxy of one or more and/or the frequency difference FDxy of one or more, and the detecting sensitivity of the piezoelectric/electrostrictive sensor is predicted.
Preferably, the frequency response characteristics is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
Further, the detecting sensitivity of the piezoelectric/electrostrictive sensor is predicted and estimated with high precision by multiple classification analysis based on the combination of the frequency properties.
Next, according to the present invention, there is provided an inspecting apparatus of an elastic body in a structure having two or more of elastic bodies, comprising means for picking up a frequency response characteristics upon vibrating the structure and predicting the dimension of the elastic body by the frequency response characteristics.
In the inspecting apparatus of the elastic body according to the present invention, preferably, the frequency response characteristics is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees. Further, preferably, the inspecting apparatus of the elastic body comprises means for predicting the dimension of the elastic body by adding a resonance frequency Fz, as the frequency response characteristics and by using any of the frequency properties or combining two or more of the frequency properties.
Preferably, the frequency response characteristics is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
In the inspecting apparatus of the elastic body according to the present invention, preferably, the dimension of the elastic body is the amount of deviation of two arbitrary elastic bodies among two or more elastic bodies forming the structure. Further, preferably, the dimension of the elastic body is the amount of undulation of one arbitrary elastic body among two or more elastic bodies forming the structure.
Next, according to the present invention, there is provided an inspecting apparatus of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, comprising means for picking up a frequency response characteristics when a vibration is given to the piezoelectric/electrostrictive actuator and predicting the amount of displacement of the piezoelectric/electrostrictive actuator based on the frequency response characteristics.
In the inspecting apparatus of the piezoelectric/electrostrictive actuator according to the present invention, preferably, the frequency response characteristics is a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.
Preferably, the inspecting apparatus of the piezoelectric/electrostrictive actuator according to the present invention comprises means for predicting the amount of displacement of the piezoelectric/electrostrictive actuator by using additionally at least one of a resonance frequency Fz of a degree other than the abovementioned degrees and/or at least one of capacitances CP of the piezoelectric/electrostrictive element to the combination of at least one of the frequency ratios FRxys and/or at least one of frequency differences FDxys.
Preferably, the frequency response characteristics is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
Next, according to the present invention, there is provided an inspecting apparatus of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, comprising means for picking up a frequency response characteristic upon vibrating the piezoelectric/electrostrictive sensor and predicting a detecting sensitivity of the piezoelectric/electrostrictive sensor by the frequency response characteristics.
In the inspecting apparatus of the piezoelectric/electrostrictive sensor according to the present invention, preferably, the frequency response characteristics is one of a resonance frequency Fx of a combination of a resonance frequency Fx of one degree and at least one of resonant frequencies Fy of other degrees, one or more of frequency ratios FRxy wherein FRxy is Fy/Fx obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees and one or more of frequency differences FDxy (wherein FDxy is FyFx) obtained by using said resonance frequency Fx of one degree and said at least one of resonant frequencies of other degrees.
Preferably, the second inspecting apparatus of the piezoelectric/electrostrictive sensor according to the present invention comprises means for predicting the detecting sensitivity of the piezoelectric/electrostrictive sensor by using additionally at least one of a resonance frequency Fz of a degree other than the abovementioned degrees and/or at least one of capacitances CP of the piezoelectric/electrostrictive sensor to the combination of at least one of the frequency ratios FRxys and/or at least one of frequency differences FDxys.
Preferably, the frequency response characteristics is one characteristic selected from the group consisting of a peak height PKx, an area Sx, and a difference between a maximum value and a minimum value of a resonance frequency of one degree, a ratio PKRxy of peak height, a difference PKDxy of peak height an area ratio SRxy, an area difference SDxy, a ratio of the difference between the maximum value and the minimum value, and a difference of the differences between the maximum value and the minimum value between said resonance frequency of one degree and at least one of resonant frequencies of other degrees.
Next, according to the present invention, there is provided a dimension predicting program of an elastic body in a structure having two or more of elastic bodies, for enabling a computer to function as: means for inputting a measurement value of a frequency response characteristics of the structure whose predicted dimension is calculated; means for obtaining a predicted dimension of the elastic body to the structure based on a calculating formula of the predicted dimension; and means for outputting the obtained predicted dimension of the elastic body to the structure.
In the dimension predicting program of the elastic body according to the present invention, preferably, the predicted dimension of the elastic body is the amount of deviation of two arbitrary elastic bodies among two or more elastic bodies forming the structure. Preferably, the predicted dimension of the elastic body is the amount of undulation of one arbitrary elastic body among two or more elastic bodies forming the structure.
In order to predict the dimension of an elastic body of a structure having two or more of the elastic bodies, preferably, a dimension predicting program of an elastic body according to the present invention enables a computer to function as: means for inputting a first resonance frequency F1 (the frequency response characteristics) upon vibrating the structure; means for inputting a resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as one or more of high degree frequency, upon vibrating the structure; means for obtaining a frequency ratio FRn (FRn=Fn/F1) of one or more by the first resonance frequency F1 and the resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more; means for obtaining a predicted dimension of the elastic body of the structure based on the following [Formula 1] (calculating formula of the predicted dimension); and means for outputting the obtained predicted dimension of the elastic body of the structure.
Preferably, a dimension predicting program of an elastic body according to the present invention, specifically, to predict the dimension of the elastic body of a structure having two or more elastic bodies, enables a computer to function as: means for inputting a resonance frequency Fm (the frequency response characteristics) of a first or more degrees upon vibrating the structure; means for obtaining a predicted dimension of the elastic body of the structure based on [Formula 2] (calculating formula of the predicted dimension); and means for outputting the obtained predicted dimension of the elastic body of the structure.
Next, according to the present invention, in order to predict the amount of displacement of a piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, there is provided a prediction program of the amount of displacement of a piezoelectric/electrostrictive actuator that enables a computer to function as: means for inputting a frequency response characteristics of the piezoelectric/electrostrictive actuator whose predicted amount of displacement is calculated; means for obtaining the predicted amount of displacement of the piezoelectric/electrostrictive actuator based on a calculating formula of the predicted amount of displacement; and means for outputting the obtained predicted amount of displacement of the piezoelectric/electrostrictive actuator.
In the prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator according to the present invention, it is possible to input, as the frequency response characteristics, an area, a peak height, and a difference between a maximum value and a minimum value of a resonant waveform of a first resonance and/or a resonance of an nth degree, serving as a high degree, of one or more, and an area ratio, a ratio of peak height, and a ratio of difference between the maximum value and the minimum value between the obtained resonant waveform of the first resonance and the obtained resonant waveform of resonance of an nth degree, serving as a high degree of one or more.
Preferably, in order to predict the amount of displacement of the piezoelectric/electrostrictive actuator having the piezoelectric/electrostrictive element and two or more electrodes according to the present invention, the prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator according to the present invention enables a computer to function as: means for inputting a first resonance frequency F1 (the frequency response characteristics) upon vibrating the piezoelectric/electrostrictive actuator; means for inputting a resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more, upon vibrating the piezoelectric/electrostrictive actuator; means for obtaining a frequency ratio FRn (FRn=Fn/F1) of one or more by the first resonance frequency F1 and the resonance frequency Fn (the frequency response characteristics) of an nth degree, of one or more; means for obtaining the predicted amount of displacement of the piezoelectric/electrostrictive actuator based on the following [Formula 3] (calculating formula of the predicted amount of displacement); and means for outputting the obtained predicted amount of displacement of the piezoelectric/electrostrictive actuator.
Preferably, specifically, in order to predict the amount of displacement of the piezoelectric/electrostrictive actuator having a piezoelectric/electrostrictive element and two or more electrodes, the prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator according to the present invention enables a computer to function as: means for inputting a first resonance frequency F1 (the frequency response characteristics) upon vibrating the piezoelectric/electrostrictive actuator; means for inputting a resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more, upon vibrating the piezoelectric/electrostrictive actuator; means for inputting a capacitance CP of the piezoelectric/electrostrictive element; means for obtaining a frequency ratio FRn (FRn=Fn/F1) equal to one or more by the first resonance frequency F1 and the resonance frequency Fn (the frequency response characteristics) of nth degree, serving as a high degree of one or more; means for obtaining the predicted amount of displacement of the piezoelectric/electrostrictive actuator based on the following [Formula 4] (calculating formula of the predicted amount of displacement); and means for outputting the obtained the predicted amount of displacement of the piezoelectric/electrostrictive actuator.
In order to predict the amount of displacement of the piezoelectric/electrostrictive actuator, preferably, the prediction program of the amount of displacement of piezoelectric/electrostrictive actuator according to the present invention enables a computer to function as: means for inputting a resonance frequency Fm (the frequency response characteristics) of an m degree of one or more upon vibrating the piezoelectric/electrostrictive actuator; means for obtaining the predicted amount of displacement of the piezoelectric/electrostrictive actuator based on [Formula 5] (calculating formula of the predicted amount of displacement); and means for outputting the obtained the predicted amount of displacement of the piezoelectric/electrostrictive actuator.
In order to predict the amount of displacement of the piezoelectric/electrostrictive actuator having the piezoelectric/electrostrictive element and two or more electrodes, preferably, the prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator according to the present invention enables a computer to function as: means for inputting a first resonance frequency F1 (the frequency response characteristics) upon vibrating the piezoelectric/electrostrictive actuator; means for inputting a resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more, upon vibrating the piezoelectric/electrostrictive actuator; means for obtaining a frequency ratio FRn (FRn=Fn/F1) of one or more by the first resonance frequency F1 and the resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more; means for obtaining the predicted amount of displacement of the piezoelectric/electrostrictive actuator based on the following [Formula 6] (calculating formula of the predicted amount of displacement); and means for outputting the obtained the predicted amount of displacement of the piezoelectric/electrostrictive actuator.
In order to predict the amount of displacement of the piezoelectric/electrostrictive actuator having the piezoelectric/electrostrictive element and two or more electrodes, preferably, the prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator according to the present invention enables a computer to function as: means for inputting a first resonance frequency F1 (the frequency response characteristics) upon vibrating the piezoelectric/electrostrictive actuator; means for inputting a resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more, upon vibrating the piezoelectric/electrostrictive actuator; means for inputting a capacitance CP of the piezoelectric/electrostrictive element; means for obtaining a frequency ratio FRn (FRn=Fn/F1) of one or more by the first resonance frequency F1 and the resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more; means for obtaining the predicted amount of displacement of the piezoelectric/electrostrictive actuator based on the following [Formula 7] (calculating formula of the predicted amount of displacement); and means for outputting the obtained the predicted amount of displacement of the piezoelectric/electrostrictive actuator.
Next, according to the present invention, in order to predict a detecting sensitivity of a piezoelectric/electrostrictive sensor having a piezoelectric/electrostrictive element and two or more electrodes, there is provided a prediction program of a detecting sensitivity of a piezoelectric/electrostrictive sensor that enables a computer to function as: means for inputting a frequency response characteristics of the piezoelectric/electrostrictive sensor whose predicted detecting sensitivity is calculated; means for obtaining the predicted detecting sensitivity of the piezoelectric/electrostrictive sensor based on a calculating formula of the detecting sensitivity; and means for outputting the obtained predicted detecting sensitivity of the piezoelectric/electrostrictive sensor.
In the prediction program of the detecting sensitivity of the piezoelectric/electrostrictive sensor according to the present invention, it is possible to input, as the frequency response characteristics, an area, a peak height, a difference between a maximum value and a minimum value of a resonant waveform of a first resonance and/or a resonance of an nth degree, serving as a high degree, of one or more, and an area ratio, a ratio of peak height, and a ratio of difference between the maximum value and the minimum value between the obtained resonant waveform of the first resonance and the obtained resonant waveform of resonance of an nth degree, serving as a high degree of one or more.
In order to predict the detecting sensitivity of the piezoelectric/electrostrictive sensor having the piezoelectric/electrostrictive element and two or more electrodes, preferably, the prediction program of the detecting sensitivity of the piezoelectric/electrostrictive sensor according to the present invention enables a computer to function as: means for inputting a first resonance frequency F1 (the frequency response characteristics) upon vibrating the piezoelectric/electrostrictive sensor; means for inputting a resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more, upon vibrating the piezoelectric/electrostrictive sensor; means for obtaining a frequency ratio FRn (FRn=Fn/F1) of one or more by the first resonance frequency F1 and the resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more; means for obtaining a detecting sensitivity for prediction of the piezoelectric/electrostrictive sensor based on the following [Formula 8] (calculating formula of the detecting sensitivity for prediction); and means for outputting the obtained detecting sensitivity for prediction of the piezoelectric/electrostrictive sensor.
In order to predict the detecting sensitivity of the piezoelectric/electrostrictive sensor having the piezoelectric/electrostrictive element and two or more electrodes, preferably, the prediction program of the detecting sensitivity of the piezoelectric/electrostrictive sensor according to the present invention enables a computer to function as: means for inputting a first resonance frequency F1 (the frequency response characteristics) upon vibrating the piezoelectric/electrostrictive sensor; means for inputting a resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more, upon vibrating the piezoelectric/electrostrictive sensor; means for inputting a capacitance CP of the piezoelectric/electrostrictive element; means for obtaining a frequency ratio FRn (FRn=Fn/F1) of one or more by the first resonance frequency F1 and the resonance frequency Fn (the frequency response characteristics) of an nth degree, serving as a high degree, of one or more; means for obtaining the predicted detecting sensitivity of the piezoelectric/electrostrictive sensor based on the following [Formula 9] (calculating formula of the predicted detecting sensitivity); and means for outputting the obtained the predicted detecting sensitivity of the piezoelectric/electrostrictive sensor.
The formulae of program according to the present invention are used in methods according to the present invention. For example, the dimension of elastic body is predicted by the frequency ratio FRn of one or more according to the inspecting method of the elastic body according to the present invention, and the prediction uses [Formula 1] of the dimension predicting program of the elastic body according to the present invention.
In the inspecting method and inspecting apparatus of the elastic body according to the present invention, a part of the structure comprising two or more elastic bodies is not the basis for inspection, but the entire structure is minutely vibrated, then, the dimension of the elastic body, such as the amount of deviation between the two elastic bodies of the structure or the amount of undulation of one elastic body is predicted based on an area of a resonant waveform of a resonance of one degree and/or a resonance of another degree, a peak height, a difference between a maximum value and a minimum value, and an area ratio, height ratio of the peak, and a ratio of difference between the maximum value and the minimum value between the obtained resonant waveform of the resonance of the one degree and the obtained resonant waveform of the resonance of the other degree. Therefore, the inspection has high precision irrespective of experience. The accurate determination is fast because of inspection without destruction.
In the inspecting method and inspecting apparatus of the piezoelectric/electrostrictive actuator according to the present invention, with respect to the piezoelectric/electrostrictive actuator comprising the piezoelectric/electrostrictive element and the two or more electrodes, only the capacitance of the piezoelectric/electrostrictive element, serving as a part of the piezoelectric/electrostrictive actuator, but the entire piezoelectric/electrostrictive actuator is actually vibrated, then, the amount of displacement of piezoelectric/electrostrictive actuator is predicted based on the resonance frequency of one degree, the resonance frequency of another degree, the frequency ratio and the frequency difference obtained by the resonance frequency of the one degree and the resonance frequency of the other degree, the peak height, the area, the difference between a maximum value and a minimum value of the resonant waveform of one degree, and the ratio of peak height, the difference in peak height, the area ratio, and the area difference between the resonant waveform of the one degree and the resonant waveform of the other degree. Therefore, the inspection has high precision irrespective of experience. The accurate determination is fast because of inspection without destruction. Further, an error of shipping of undesired products is prevented.
In the inspecting method and the inspecting apparatus of the piezoelectric/electrostrictive sensor according to the present invention, with respect to the piezoelectric/electrostrictive sensor comprising the piezoelectric/electrostrictive element and the two or more electrodes, only the capacitance of the piezoelectric/electrostrictive element, serving as a part of the piezoelectric/electrostrictive sensor, but the entire piezoelectric/electrostrictive sensor is actually vibrated, then, the detecting sensitivity of piezoelectric/electrostrictive sensor is predicted based on the resonance frequency of one degree, the resonance frequency of another degree, the frequency ratio and the frequency difference obtained by the resonance frequency of the one degree and the resonance frequency of the other degree, the peak height, the area, the difference between a maximum value and a minimum value of the resonant waveform of the one degree, and the ratio of peak height, the difference in peak height, the area ratio, and the area difference between the resonant waveform of the one degree and the resonant waveform of the other degree. Therefore, the inspection has high precision irrespective of experience. The accurate determination is fast because of the inspection without destruction. Further, an error of shipping of undesired products is prevented.
The followings are given to explain the meanings of the respective numerical references.
 1: central processing unit,
 2: storage device,
 4: input device,
 5: output device,
 10: computer system,
 20, 30, 40, 50, 51: piezoelectric/electrostrictive actuator,
 44: substrate,
 46: cavity,
 66: vibrating unit,
 68: supporting unit,
 73: intermediate electrode,
 74: upper electrode,
 77: lower electrode,
 78: piezoelectric/electrostrictive operating unit, and
 79: piezoelectric/electrostrictive element.
Hereinbelow, an embodiment of the present invention will be described with reference to the drawings. The present invention is not limited to the embodiment and can variously be modified based on the acknowledgement of one skilled person without departing the essentials of the present invention. For example, the drawings express the preferable embodiment of the present invention, and the present invention is not limited by information in the drawings and the embodiment with reference to the drawings. In the employment and verification of the present invention, the means similar to that described in the specification or identical means is used and preferable means is described hereinbelow. In the specification, the present invention entirely relates to an inspecting method, an inspecting apparatus, and a dimension predicting program of an elastic body with high precision, an inspecting method, an inspecting apparatus, and a dimension predicting program of a piezoelectric/electrostrictive actuator, and an inspecting method, an inspecting apparatus, and a dimension predicting program of a piezoelectric/electrostrictive sensor.
First, a description is given of a piezoelectric/electrostrictive actuator, serving as targets of an inspecting method and an inspecting apparatus and of a prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator.
In a piezoelectric/electrostrictive actuator 20, an electric field is generated between the top electrode 75 and the bottom electrode 77 and then the piezoelectric/electrostrictive element 79 containing a piezoelectric/electrostrictive material is displaced, thereby deforming the vibrating unit 66. The operation enables the piezoelectric/electrostrictive actuator 20 to be used as an actuator unit of a precision machine.
In addition to the piezoelectric/electrostrictive actuator 20 having one layer of the piezoelectric/electrostrictive element, as the piezoelectric/electrostrictive actuator, piezoelectric/electrostrictive actuators 70, 30, and 40 are shown in crosssectional views in
Next, a description is given of a manufacturing method of a piezoelectric/electrostrictive actuator, serving as the piezoelectric/electrostrictive actuator 20. The piezoelectric/electrostrictive actuator is manufactured by using a green sheet laminating method in the case of the base containing a ceramic material, and the piezoelectric/electrostrictive operating unit is manufactured by using a film forming method of a thin film or thick film.
The base 44 is manufactured as follows. A binder, a solvent, a dispersion agent, or a plasticizing material is added and mixed to ceramic particles of, e.g., zirconium oxide, thereby manufacturing slurry. The slurry is degassed and, thereafter, a green sheet with a predetermined thickness is manufactured by a reverse roll coater method or a doctor blade method. The shape for green sheet is variously processed by a method of punching using die and laser processing. A plurality of green sheets is sequentially laminated and then a ceramic green laminatedbody is baked by pressure bonding with heat. The obtained green sheet laminated body is baked at a temperature of 1200 to 1600° C., thereby obtaining the base 44.
The piezoelectric/electrostrictive operating unit 78 is formed onto one surface of the base 44. The bottom electrode 77 is printed at a predetermined position of one surface of the base 44 by a film forming method, such as screen printing, and is baked at a temperature of 1250 to 1450° C. Next, the piezoelectric/electrostrictive element 79 is printed and is baked at a temperature of 1100 to 1350° C. Next, the top electrode 75 is printed at a temperature of, preferably, 500 to 900° C. Then, the piezoelectric/electrostrictive operating unit 78 is formed. After that, an electrode lead for connecting the electrode to a driving circuit is printed and is baked. By selecting a proper material, the electrodes of the piezoelectric/electrostrictive operating unit, the piezoelectric/electrostrictive element, and the electrode lead are sequentially printed, and are integrally baked once.
After forming the piezoelectric/electrostrictive actuator 20 as mentioned above, the piezoelectric/electrostrictive actuator 20 is polarized when the piezoelectric/electrostrictive actuator 20 needs the polarization. The polarization is performed by applying a voltage (polarization voltage) sufficiently higher than a driving voltage for use between the top electrode 75 and the bottom electrode 77. Although not limited, the polarization voltage is 70V when the driving voltage is 30V. In the piezoelectric/electrostrictive actuator 20, it is inspected to check whether or not the base 44 and the piezoelectric/electrostrictive operating unit 78 are normally manufactured. The base 44 and the piezoelectric/electrostrictive operating unit 78 are displaced or the vibrating unit 66 is undulated and, then, a desired amount of displacement is not obtained when the same (driving) voltage is applied between the electrodes.
The dimension, serving as a prediction item in the inspection, of the piezoelectric/electrostrictive actuator 20, (serving as a structure having two or more elastic bodies), includes the abovementioned amount of lateral deviation, that is, the amount of undulation of the vibrating unit 66 in the base 44 in addition to the amount of lateral deviation between the vibrating unit 66 in the base 44 (serving as the elastic body) and the piezoelectric/electrostrictive element 79 (serving as the elastic body) in the piezoelectric/electrostrictive operating unit 78.
Next, a description is given of the lateral deviation between the vibrating unit 66 and the piezoelectric/electrostrictive element 79 with reference to
Next, a description is given of an apparatus for vibrating the elastic body or the piezoelectric/electrostrictive device (piezoelectric/electrostrictive actuator or piezoelectric/electrostrictive sensor) and picking up the frequency response characteristics.
Preferably, the measurement systems of the frequency response characteristics shown in
Next, a description is given of a vibrating mode of a plate (plate member) in the resonance. As described above, generally, the vibration of plate is referred to as a vibrating mode of (m, n) degree.
In the vibrating mode of m other than 3.5 shown in
Next, a specific description is given of the prediction method of the dimensional deviation and the amount of displacement based on the measurement data.
Sequentially, a resonance frequency FA with a highdegree peak A is detected as a frequency indicating a secondphase maximum value on the highfrequency side of the resonance frequency F1. The resonance frequency with the highdegree peak A is in a vibrating mode of m (=3) and n (=1) shown in
Sequentially, a resonance frequency FB with a highdegree peak B is detected as a frequency indicating a thirdphase maximum value on the higherfrequency side of the resonance frequency FA. The resonance frequency with the highdegree peak B is in a vibrating mode of m (=3.5) and n (=1) shown in
[Formula 10]
Predicted amount M10 of lateral deviation=a×FR1A+b (where a and b are coefficients).
Next, a description is given of the amount of undulation of the vibrating unit 66. Referring to
[Formula 11]
Predicted amount M11 of lateral deviation=a×FR1B+b (where a and b are coefficients).
Further, the amount of lateral deviation is substantially proportional to the amount of displacement, as will be clearly understood with reference to
[Formula 12]
Predicted amount M12 of displacement=a×FR1A+b×(FR1B)^{2}+c×FR1B+d×CP+e (where a to e are coefficients).
Further, as expressed by the following [Formula 13], the predicted amount of displacement is obtained based on a value of e(F1) that is obtained by multiplying the coefficient “e” to the frequency ratio F1, a(FR1A) that is obtained by multiplying the coefficient “a” to the frequency ratio FR1A, a value of c(FR1B) that is obtained by multiplying the coefficient “c” to the frequency ratio FR1B, and a value of b(FR1B)^{2 }that is obtained by multiplying the coefficient “b” to the square of FR1B (further, additionally using the capacitance CP). In the manufacturing processing, upon forming the piezoelectric/electrostrictive element 79 by printing, the predicted amount of displacement is adjusted by minutely changing the printing position of the piezoelectric/electrostrictive element 79 so as to change the amount of lateral deviation between the vibrating unit 66 and the piezoelectric/electrostrictive element 79.
[Formula 13]
Predicted amount M13 of displacement=a×FR1A+b×(FR1B)^{2}+c×FR1B+d×CP+e×F1+f (where a to f are coefficients).
In the abovementioned inspection, attention is paid to the resonance frequency and the resonant waveform of the vibrating modes of degrees (1, 1), (3, 1), and (3.5, 1). Further, the inspection is executed by paying attention to the resonance frequency and the resonant waveform in the vibrating mode other than those of degrees (1, 1), (3, 1), and (3.5, 1).
Referring to
The basic trend in the impedance is the same as that of the phase property. That is, referring to
Referring to
A description is given of phenomena of the increase in peak height (waveform) in the vibrating mode (1, 2) due to the lateral deviation with the following reasons. That is, the piezoelectric/electrostrictive operating unit is arranged to the vibrating unit without the lateral deviation, the center of gravity of the piezoelectric/electrostrictive actuator, serving as a structure, matches the center of vibrations. Further, the expansion and contraction of the piezoelectric/electrostrictive operating unit excites the bending displacement that is originally approximate to the vibrating mode (1, 1). That is, the displacement of the center of the vibrating unit is greatly excited. In this case, the excitation is relatively easy in the odddegree vibrating modes (3, 1), (5, 1), (7, 1), and (1, 3) in which the center of the vibrating unit is greatly vibrated and, however, the excitation is not observed in the evendegree vibrating modes (2, 1), (4, 1), and (1, 2) in which the center of the vibrating unit corresponds to the node. Actually, in the vibrating mode (1, 2) shown in
[Formula 14]
Predicted amount M14 of lateral deviation=a×PKC (where a is coefficient).
[Formula 15]
Predicted amount M15 of undulation=a×FRDE+b (where a and b are coefficients).
Further, the predicted amount of displacement is expressed by the following [Formula 16] in consideration of the prediction formula of the amount of displacement using the highdegree peaks C, D, and E, serving as a quadratic curve of the amount of undulation and the amount of displacement.
[Formula 16]
Predicted amount M16 of displacement=a×PKC+b×(FRDE)^{2}; +c×FRDE+d×CP+e×F1+f (where a to f are coefficients).
It is determined, based on the predicted amount of lateral deviation, predicted amount of undulation, and predicted amount of displacement that are obtained, whether or not the produced piezoelectric/electrostrictive actuator 20 is a defective product and the inspection then ends. After that, only the piezoelectric/electrostrictive actuator 20 that passes through the inspection is shipped.
Conventionally, since the piezoelectric/electrostrictive actuator is inspected only based on the capacitance of the piezoelectric/electrostrictive element, the inspection result does not reflect the difference in products of the base comprising another component forming the piezoelectric/electrostrictive actuator, that is, the vibrating unit and the supporting unit. Therefore, the improvement in inspection precision is limited. However, the inspection result is obtained by actually vibrating the piezoelectric/electrostrictive actuator having the results of the predicted amount of lateral deviation, predicted amount of undulation, and predicted amount of displacement. The inspection result including the predicted amount of lateral deviation, predicted amount of undulation, and predicted amount of displacement reflects the entire components forming the piezoelectric/electrostrictive actuator (including any nonpredicted component). Thus, the variations in dimension and the amount of displacement are certainly identified, the inspection precision is higher than that of the conventional inspection, and it is accurately determined whether or not the produced piezoelectric/electrostrictive actuator is a defective product. Since only the manufactured piezoelectric/electrostrictive actuator is vibrated without the destruction and dissolution of the piezoelectric/electrostrictive actuator, a long inspection time is not required. A micro switch in which the nondefective piezoelectric/electrostrictive actuator passing through the inspection is used as an actuator unit, the amount of displacement of the vibrating unit is converged within a predetermined range and the variation in switch operation is suppressed.
Similarly to the amount of displacement of the piezoelectric/electrostrictive actuator, the dimension, such as the amount of deviation and the amount of undulation, exerts a great influence on the detecting sensitivity of the piezoelectric/electrostrictive sensor. That is, the multiple classification analysis is performed by using the capacitance, the resonance frequency, and the ratio of resonance frequency in the piezoelectric/electrostrictive sensor, thereby predicting and estimating the detecting sensitivity with high precision.
Further, the present invention is effectively applied to the inspection of a set of a plurality of piezoelectric/electrostrictive actuators arranged in the vertical and horizontal directions. That is, the variation in properties of the set of piezoelectric/electrostrictive actuators corresponds to the variation in dimensional deviations of the piezoelectric/electrostrictive actuators in the set of piezoelectric/electrostrictive actuators. In order to improve the quality of the piezoelectric/electrostrictive actuator, when the level of variation is selected by inspecting the variation in dimensional deviation and the piezoelectric/electrostrictive actuator is used for applications, it is possible to precisely predict the variation in properties of the set of piezoelectric/electrostrictive actuators by using the information including the resonant frequencies, the ratio of resonant frequencies, the peak height of resonant waveform, and the area in the first and highdegree vibrating modes.
Next, a description is given of a dimension predicting program of an elastic body and a prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator so as to calculate the frequency ratio FR1A, the frequency ratio FR1B, and the capacitance CP if necessary according to the present invention.
Hereinbelow, a description is given of a prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator (simply referred to as a prediction program of the amount of displacement).
The CPU 1 calculates the predicted amount of displacement of the piezoelectric/electrostrictive actuator based on the calculating formulae applied to the piezoelectric/electrostrictive actuator whose amount of displacement is predicted in response to the instructions of the prediction program of the amount of displacement. Subsequently, the CPU 1 outputs the obtained predicted amount of displacement of the piezoelectric/electrostrictive actuator to a printer or a CRT (screen) in response to the instructions of the prediction program of the amount of displacement. The calculating formulae can be incorporated in the prediction program of the amount of displacement. The calculating formulae are not limited those shown as examples, and can be changed in accordance with the property of an inspection target, such as an exponential function or a highdegree polynominal expression.
A description is given of the case of obtaining the predicted amount of displacement by using specific calculating formulae in the computer system 10. Inputted, via a keyboard or a network analyzer, is information including the resonant frequencies in the resonant modes of the first and high degrees, the peak height of the resonant waveform, and the area, upon vibrating the piezoelectric/electrostrictive actuator whose predicted amount of displacement is calculated. The CPU 1 calculates the ratio of resonant frequencies, the ratio of peak height and the ratio of areas, in response to the instructions of the prediction program of the amount of displacement in the storage device 2.
Further, the CPU 1 calculates the predicted amount of displacement of the piezoelectric/electrostrictive actuator based on [Formula 12] or [Formula 13], serving as calculating formulae for calculating the predicted amount of displacement of the piezoelectric/electrostrictive actuator, in response to the instructions of the amount of displacement in the storage device 2. In the case of using the capacitance to obtain the predicted amount of displacement (in [Formula 4], inputted, via a keyboard or an LCR meter, the capacitance CP of the piezoelectric/electrostrictive element of the piezoelectric/electrostrictive actuator whose predicted amount of displacement is calculated. The CPU 1 outputs the calculated predicted amount of displacement, serving as digital data or analog data, to a printer or a CRT (screen).
A computer system 330 shown in
The dimension predicting program of the elastic body according to the present invention enables a computer to function as predetermined means so as to predict the dimension (amount of deviation or amount of undulation) of the vibrating unit 66 in the base 44 or the piezoelectric/electrostrictive element 79 in the piezoelectric/electrostrictive operating unit 78, serving as an elastic body. The dimension predicting program according to the present invention is stored in the storage device 2 according to the prediction program of the amount of displacement, except for using [Formula 1] for calculating the predicted dimension, the CPU 1 issues instructions to another device forming the computer system 10 based on the dimension predicting program, and a detailed description thereof is omitted.
The description is given of the piezoelectric/electrostrictive actuator, serving as one example, in the inspecting method, the inspecting apparatus, and the prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator according to the present invention. The piezoelectric/electrostrictive sensor in the inspecting method, the inspecting apparatus, and the prediction program of the amount of displacement of the piezoelectric/electrostrictive sensor is similar to the piezoelectric/electrostrictive actuator, serving as a structure, except for the differences of electrical/mechanical conversion and mechanical/electrical conversion.
According to the present invention, the piezoelectric/electrostrictive actuator in the inspecting method, the inspecting apparatus, and the prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator comprises a piezoelectric/electrostrictive element, serving as an elastic body, and two or more electrodes, and therefore corresponds to a structure having two or more elastic bodies. In the specification, the piezoelectric/electrostrictive actuator comprises the piezoelectric/electrostrictive operating unit comprising the piezoelectric/electrostrictive element and two or more electrodes and the base, serving as an elastic body, comprising the vibrating unit and the supporting unit. In the example of the piezoelectric/electrostrictive actuator, the piezoelectric/electrostrictive operating unit, the vibrating unit, and the supporting unit are elastic bodies, respectively.
According to the present invention, the elastic body in the inspecting method, the inspecting apparatus, and the dimension predicting program of the elastic body is an object indicating not the plasticity but the elasticity, may be at least one of two or more elastic bodies forming the structure, and is not limited to the ceramic base (vibrating unit) and the piezoelectric/electrostrictive element (piezoelectric/electrostrictive operating unit).
According to the present invention, the piezoelectric/electrostrictive device in the inspecting method, the inspecting apparatus, and the prediction program of the amount of displacement of the piezoelectric/electrostrictive device and the piezoelectric/electrostrictive sensor in the inspecting method, the inspecting apparatus, and the prediction program of the detecting sensitivity of the piezoelectric/electrostrictive sensor are units having lump functions by using the charge/electric field induced by the strain or stress that is inducted by the electric field, comprise the piezoelectric/electrostrictive element and at least one pair of electrics, and are not limited to the piezoelectric/electrostrictive actuator using the inverse piezoelectric effect that generates the amount of strain proportional to the applied electric field, the piezoelectric effect that generates the amount of charges induced by the stress, and the piezoelectric/electrostrictive effect that generates the amount of strain proportional to the square of applied electric field, and include a piezoelectric/electrostrictive actuator using the phenomena, such as the reverse of polarization in the general ferroelectric material and the phase transition between the antiferroelectric phase and the ferroelectric phase in the general antiferroelectric material. Further, the polarization is appropriately determined depending on the nature of materials used for the piezoelectric/electrostrictive element forming the piezoelectric/electrostrictive actuator.
According to the present invention, preferably, the inspecting method, the inspecting apparatus, and the dimension predicting program of the elastic body according to the present invention and the inspecting method, the inspecting apparatus, and the prediction program of the amount of displacement of the piezoelectric/electrostrictive actuator can be applied as inspection means of various piezoelectric/electrostrictive actuators of a measurement instrument, an optical modulator, an optical switch, an electrical switch, a micro relay, a micro valve, a conveying device, and an image display device, such as a display or a projector, an image drawing device, a micro pump, a drop discharge device, a minute mixing device, a minute stirrer, and a minute reacting device. Further, preferably, the inspecting method, the inspecting apparatus, and the prediction program of the detecting sensitivity of the piezoelectric/electrostrictive sensor is used as inspection means of various piezoelectric/electrostrictive sensors used for detection of fluid property, sound pressure, minute weight, and acceleration.