Flex meter for sports game implements
First Claim
1. A combination for measuring the flexing of an implement said implement being a second body employed by a player in a sports game to have an impact with a first body, a single said impact being for a short interval of time, said implement responsive to a single impact having a mode of natural vibratory flexing in said implement, said mode of natural vibratory flexing having a natural frequency having an unknown value fr and an amplitude having a value Ax at a location x on said implement;
- said combination comprising a measuring means measuring said implement subsequent to said impact, providing a measured value indicating said value fr, said measuring means comprising at least one mechanical element having a known natural frequency of vibration;
said natural frequency being substantially the same as said frequency fr ;
a coupling means coupling said measuring means to said mode of natural vibratory flexing, the amplitude and natural frequency of vibration of said mechanical element indicating said value fr and thereby the vibratory flexing of said implement, a higher said value fr indicating said natural vibratory flexing having an amplitude having a value Ax being lesser.
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Accused Products
Abstract
A combination of an implement employed in a sports game to impact with a body, and a device coupled to the implement which measures the natural frequency and the relative amplitude of vibration of the implement resulting from the impact. The implement can be a game racket, bat, club or the like and the body impacted can be a ball. The lower the value of the natural frequency of vibration of the implement the more flexible the implement is when it impacts the ball, the greater is the amplitude of the vibration of the implement and the rebound of the ball has a lower velocity. One of the embodiments, called a FLEX METER is a frequency measuring device which employs a series of reeds mounted on a base member each reed being adjusted to vibrate at a maximum amplitude when a vibration having a designated frequency is applied to the base member. Each reed is identified with a designated frequency. A light emitting diode associated with each reed emits light when a reed responsive to the vibration of the implement has an amplitude sufficient to make an electrical connection to a closely positioned contact. The devices are all small in weight, size and are portable and convenient to use with the implement.
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Citations
26 Claims
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1. A combination for measuring the flexing of an implement said implement being a second body employed by a player in a sports game to have an impact with a first body, a single said impact being for a short interval of time, said implement responsive to a single impact having a mode of natural vibratory flexing in said implement, said mode of natural vibratory flexing having a natural frequency having an unknown value fr and an amplitude having a value Ax at a location x on said implement;
- said combination comprising a measuring means measuring said implement subsequent to said impact, providing a measured value indicating said value fr, said measuring means comprising at least one mechanical element having a known natural frequency of vibration;
said natural frequency being substantially the same as said frequency fr ;
a coupling means coupling said measuring means to said mode of natural vibratory flexing, the amplitude and natural frequency of vibration of said mechanical element indicating said value fr and thereby the vibratory flexing of said implement, a higher said value fr indicating said natural vibratory flexing having an amplitude having a value Ax being lesser. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15)
- said combination comprising a measuring means measuring said implement subsequent to said impact, providing a measured value indicating said value fr, said measuring means comprising at least one mechanical element having a known natural frequency of vibration;
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13. A combination for measuring the flexing of an implement said implement being a second body employed in a sports game by a player to impact with a first body, a single said impact occurring at a location on said implement and being a force having a short duration of time;
- said implement responsive to a single said impact to have a natural mode of vibratory flexing between a first extreme position and a second extreme position a number of cycles in a period of time, said implement having a longitudinal axis, said axis being flexed into a first curve in said first position and into a second curve in said second position, said second curve being opposite to said first curve, said number being defined as a natural frequency of said natural mode of vibratory flexing of said implement having an unknown value of fr in cycles per second;
at a location X on said longitudinal axis, one half the distance between said first position and said second position being defined as the amplitude of said mode of vibratory flexing at said location X having the value Ax ;
said implement having an effective mass Me at the said location of the impact, said effective mass Me being defined in the expression ##EQU9## M1 being the mass of said first body, ν
1 being the velocity of said mass M1 just prior to said impact, ν
1 '"'"' being the velocity of said mass M1 just subsequent to said impact, ν
2 being the velocity of the point on said implement being impacted just prior to said impact and being zero, ν
2 '"'"' being the velocity of said point on said implement being impacted just subsequent to said impact;
said combination comprising a measuring means measuring said implement subsequent to said impact, providing a measured value indicating said frequency fr, said measuring means comprising at least one mechanical element having a known natural frequency of vibration, said natural frequency being substantially the same as said frequency fr ;
coupling means coupling the said measuring means to said natural mode of vibratory flexing, the amplitude and natural frequency of said mechanical element indicating said value fr and thereby the flexing of said implement, a higher value of said frequency fr indicating a smaller said value of said mode of vibratory flexing having the value Ax, a greater said effective mass Me, and a greater said rebound velocity ν
1 '"'"'. - View Dependent Claims (14, 16, 17, 18, 19)
- said implement responsive to a single said impact to have a natural mode of vibratory flexing between a first extreme position and a second extreme position a number of cycles in a period of time, said implement having a longitudinal axis, said axis being flexed into a first curve in said first position and into a second curve in said second position, said second curve being opposite to said first curve, said number being defined as a natural frequency of said natural mode of vibratory flexing of said implement having an unknown value of fr in cycles per second;
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20. A vibrometer for measuring the frequency of vibration of a vibrating body having a frequency of vibration having an unknown value fr, said vibrometer comprising;
- a plurality of mechanical elements, said elements being mounted on a supporting member, each of said mechanical elements having a natural frequency of vibration, the said natural frequencies of vibration of said plurality of mechanical elements having known predetermined different values, said values progressing in substantially uniform incremental steps from a first limit of lower value to a second limit of higher value;
at least one mechanical element of said plurality of mechanical elements having a known natural frequency of vibration, said natural frequency having substantially the said value fr ;
each of said plurality of mechanical elements having a contactor being mounted close to said mechanical element on said supporting member, said contactor being capable of making an electrical connection upon contact of said mechanical element with said contactor;
said mechanical element having a natural frequency of vibration having a value of substantially the said value fr, responsive to said supporting member being mechanically coupled to said vibrating body, having sufficient amplitude of vibration to contact said contactor;
a plurality of light sources, said light sources being mounted on said supporting member, each of said light sources being separately connected electrically to each of said contactors;
each of said light sources being capable of emitting observable light responsive to said mechanical element having sufficient amplitude of vibration to contact said contactor and indicating said value fr. - View Dependent Claims (21, 22)
- a plurality of mechanical elements, said elements being mounted on a supporting member, each of said mechanical elements having a natural frequency of vibration, the said natural frequencies of vibration of said plurality of mechanical elements having known predetermined different values, said values progressing in substantially uniform incremental steps from a first limit of lower value to a second limit of higher value;
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23. A combination for measuring the spring constant having a value of T of the string netting plane of a game racket, comprising a measuring means measuring the frequency of the vibration of said netting plane responsive to a single impact, said measuring means having a weight having a value of Wv ;
- said string netting plane having said measuring means fastened to said string netting plane, responsive to a single impact having a vibration having a frequency having an unknown value of fs said measuring means responsive to said single impact indicating said value fs, thereby indicating said value T, said value T being determined by said value Wv, and said value fs ;
said measuring means being at least one mechanical element having a known natural frequency of vibration, said natural frequency being substantially the same as said frequency fs, the amplitude and said natural frequency of said mechanical element responsive to said single impact indicating said value fs. - View Dependent Claims (24, 25)
- said string netting plane having said measuring means fastened to said string netting plane, responsive to a single impact having a vibration having a frequency having an unknown value of fs said measuring means responsive to said single impact indicating said value fs, thereby indicating said value T, said value T being determined by said value Wv, and said value fs ;
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26. A vibrometer for measuring the frequency of vibration of a vibrating body having a frequency of vibration having an unknown value fr, said vibrometer comprising;
- a plurality of mechanical elements, said elements being mounted on a supporting member, each of said mechanical elements having a natural frequency of vibration, the said natural frequencies of vibration of said plurality of mechanical elements having known predetermined different values, said values progressing in substantially uniform incremental steps from a first limit of lower value to a second limit of higher value;
at least one mechanical element of said plurality of mechanical elements having a known natural frequency of vibration, said natural frequency having substantially the said value fr ;
each of said plurality of mechanical elements having a contactor being mounted close to said mechanical element on said supporting member, said contactor being capable of making an electrical connection upon contact of said mechanical element with said contactor;
said mechanical element having a natural frequency of vibration having a value of substantially the said value fr, responsive to said supporting member being mechanically coupled to said vibrating body, having sufficient amplitude of vibration to contact said contactor;
a plurality of light sources, said light sources being mounted on said supporting member, each of said light sources having separate wiring to each of said contactors;
said wiring providing pulses of electrical current upon said contact of said mechanical element with said contactor, said pulses of current not being encoded;
each of said light sources emitting observable light responsive to said pulses of current being responsive to said mechanical element having sufficient amplitude of vibration to contact said contactor and thereby indicate said value fr .
- a plurality of mechanical elements, said elements being mounted on a supporting member, each of said mechanical elements having a natural frequency of vibration, the said natural frequencies of vibration of said plurality of mechanical elements having known predetermined different values, said values progressing in substantially uniform incremental steps from a first limit of lower value to a second limit of higher value;
Specification