Dynamic system analysis in a vibrating beam accelerometer
First Claim
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1. Apparatus for analyzing a pair of frequencies which are related to natural frequency as a function of a force applied to a system, said system including means producing a first frequency (f1) and a second frequency (f2) comprising:
- means for sensing said first frequency (f1) and said second frequency (f2);
means for squaring said first and second frequencies to produce f12 and f22 respectively;
means for computing the difference between said squared frequencies (f12 -f22) to approximate ##EQU8## to obtain a measure of the force applied to the system, including means for scaling and biasing (f12 -f22) in accordance with the relationship of [(f12 -f22)/B]+[(-A/B)], where A is said bias, and B is said scale factor;
said means producing said first and said second frequencies comprising;
a first mass and a second mass, respectively;
means for vibrating said masses at said first and said second frequencies; and
means for orienting said masses such that moving said means for producing said frequencies will cause an increase in one said frequency and a decrease in said other said frequency.
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Abstract
A method and apparatus for measuring a dynamic effect applied to a vibrating beam accelerometer. The apparatus analyzes a pair of frequencies related to natural frequency as a function of a force applied to a vibrating beam accelerometer producing f1 and f2 ; (f12 -f22) is computed to approximate ##EQU1##
54 Citations
26 Claims
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1. Apparatus for analyzing a pair of frequencies which are related to natural frequency as a function of a force applied to a system, said system including means producing a first frequency (f1) and a second frequency (f2) comprising:
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means for sensing said first frequency (f1) and said second frequency (f2); means for squaring said first and second frequencies to produce f12 and f22 respectively; means for computing the difference between said squared frequencies (f12 -f22) to approximate ##EQU8## to obtain a measure of the force applied to the system, including means for scaling and biasing (f12 -f22) in accordance with the relationship of [(f12 -f22)/B]+[(-A/B)], where A is said bias, and B is said scale factor; said means producing said first and said second frequencies comprising; a first mass and a second mass, respectively; means for vibrating said masses at said first and said second frequencies; and means for orienting said masses such that moving said means for producing said frequencies will cause an increase in one said frequency and a decrease in said other said frequency. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. A method for analyzing a pair of frequencies which are related to natural frequency as a function of force applied to a system, said system including means producing a first frequency (f1) and a second frequency (f2), comprising the steps of:
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sensing said first frequency (f1) and said second frequency (f2); squaring said first and second frequencies to produce f12 and f22, respectively; computing the difference between said squared frequencies (f12 -f22) to approximate ##EQU9## to obtain a measure of the force applied to the system;
including the step of scaling and biasing (f12 -f22) in accordance with the relationship of [(f12 -f22)/B]+[(-A/B)], where A is said bias, and B is said scale factor;said producing said first and said second frequencies comprising; vibrating a first mass and a second mass, respectively, to produce said first and said second frequencies; and orienting said masses such that moving the system will cause an increase in one said frequency and a decrease in said other said frequency. - View Dependent Claims (15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26)
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Specification