JP2013165808A - Method and system for obtaining equivalent simple pendulum length and moment of inertia for golf club optimal for golfer, selection method for golf club, as well as method for obtaining position and weight of weight suitable for each golfer - Google Patents

Abstract

PROBLEM TO BE SOLVED: To simply and accurately obtain an equivalent simple pendulum length and a moment of inertia for a golf club which is optimal for each golfer.SOLUTION: A method includes the steps of: collecting data related to features of each golfer including physical features of the golfers (first data) and data related to motion at swinging of each of the golfers (second data); and finding the equivalent simple pendulum length and the moment of inertia suitable for each of the golfers on the basis of the first data and the second data collected from each of the golfers, and predetermined rules constructed from the first data and the second data collected from a plurality of experts and selection results of optimal golf clubs selected by each of the plurality of experts.

Description

  The present invention relates to a method and system for determining the equivalent single pendulum length and moment of inertia of a golf club optimum for a golfer, a method for selecting a golf club, and a method for determining the position and weight of a weight suitable for each golfer.

  Various methods have been proposed in the past for selecting golf clubs or golf club sets that are easy to swing for each golfer and are easy to fly, that is, golf clubs or golf club sets suitable for each golfer.

  For example, Japanese Unexamined Patent Application Publication No. 2009-226215 (Patent Document 1) and Japanese Unexamined Patent Application Publication No. 2009-226216 (Patent Document 2) show that golf club custom fitting is performed using information on physical characteristics of golfers. Has been.

  Japanese Patent Laid-Open No. 2005-21329 (Patent Document 3) discriminates swing characteristics based on the measurement result of the rotational motion of the golfer's hand in the three directions at the time of hitting the ball. It has been shown to select a suitable golf club mass and length.

  In Japanese Patent Application Laid-Open No. 2004-181217 (Patent Document 4), using a sensory value evaluated by a golfer for a reference golf club, a primary moment, an inertia moment, and an equivalent unit of a golf club suitable for the golfer are disclosed. It has been shown to determine the range of pendulum length.

  In addition, a structure for providing a golf club that is easy to swing has also been proposed.

  For example, Japanese Patent Laid-Open No. 2011-235024 (Patent Document 5) discloses that a weight is provided in the vicinity of the grip portion in order to adjust the distance from the upper end of the grip to the center of gravity of the golf club.

JP 2009-226215 A JP 2009-226216 A JP 2005-21329 A JP 2004-181217 A JP 2011-233502 A

  As a result of intensive studies by the present inventors, it has been found that the equivalent simple pendulum length and moment of inertia of a golf club are particularly important as parameters for selecting an optimum golf club for each golfer.

  The equivalent simple pendulum length and moment of inertia of a golf club can be appropriately obtained with predetermined weights, for example, with a weight disclosed in Japanese Patent Application Laid-Open No. 2011-235024 (Patent Document 5).

  However, the optimum equivalent single pendulum length and the value of the moment of inertia are different for each golfer. Therefore, it is important to obtain an optimum value for each golfer with high accuracy by a simple method.

  Japanese Patent Application Laid-Open No. 2004-181217 (Patent Document 4) certainly shows the idea of selecting a golf club suitable for each golfer by paying attention to the equivalent simple pendulum length and moment of inertia.

  However, in the method described in Patent Document 4, since the equivalent single pendulum length and the moment of inertia suitable for the golfer are obtained based on the subjective data called the sensory value evaluated by each golfer, there is a variation in the ability of each golfer. The calculation result of the equivalent single pendulum length and moment of inertia suitable for a golfer may be affected.

  The inventors of the present application, based on a completely different concept from the invention described in Patent Document 4, from the viewpoint of accurately obtaining an optimum value for each golfer by a simple method, the equivalent single pendulum length suitable for each golfer And we studied to obtain the moment of inertia. Specifically, the present inventors use objective data highly correlated with the optimum values of the equivalent single pendulum length and the moment of inertia to determine the equivalent simple pendulum length and the moment of inertia suitable for each golfer. We studied diligently.

  An object of the present invention is to simply and accurately determine the equivalent simple pendulum length and moment of inertia suitable for each golfer.

  The present invention is directed to a method or system for determining the equivalent simple pendulum length and moment of inertia of a golf club that is optimal for each golfer.

  First, “equivalent single pendulum length” and “moment of inertia” for which optimum values are to be obtained in the present invention will be described.

The “moment of inertia (I)” in this specification is an amount indicated by rotating the golf club around a point separated from the grip end of the golf club by a predetermined distance r ₀ (for example, about r ₀ = 150 mm). Yes, it is obtained by the following equation (1) (see also FIG. 1).

That is,
I = I _g + m × (r + _ro ) ² (1)
However,
I _g : Moment of inertia around the center of gravity G: Golf club mass r: Distance from the grip end to the center of gravity G.

  The “equivalent single pendulum length (L)” in this specification is obtained by dividing the value of the “moment of inertia (I)” by the value of “primary moment”. The “primary moment” means “golf club mass (m)” × “distance from grip end to center of gravity G (r)”.

  As a result of intensive studies by the inventor, it has been found that the equivalent single pendulum length is particularly correlated with swing skill, and the moment of inertia is particularly correlated with power.

  In one aspect, the present invention obtains the optimum values of the equivalent simple pendulum length and the moment of inertia using data (first data) relating to the characteristics of the golfer including the physical characteristics of each golfer. , The optimum values of the equivalent single pendulum length and the moment of inertia are obtained using the data (second data) relating to the movement of each golfer during the swing.

  In yet another aspect, the data relating to the golfer's characteristics including the physical characteristics of each golfer (first data) and the data relating to the movement of each golfer during swing (second data) are combined. An analysis may be performed.

  That is, in the aspect of using the data (first data) relating to the golfer's characteristics including the physical characteristics of each golfer, the method uses predetermined data relating to the characteristics of the golfer including the physical characteristics of each golfer. A step of collecting from each golfer; predetermined data collected from each golfer; predetermined data collected from a plurality of skilled persons; and a predetermined structure constructed from selection results of optimum golf clubs respectively selected by a plurality of skilled persons And determining a corresponding simple pendulum length and moment of inertia suitable for each golfer.

  Further, in the same aspect, the system includes an input device that inputs predetermined data relating to the characteristics of the golfer including physical characteristics of each golfer, predetermined data collected from a plurality of experts, and a plurality of experts. Each golf player is stored on the basis of a storage device that stores a predetermined rule constructed from the selection results of the selected optimum golf clubs, a predetermined data that is input to the input device, and a predetermined rule that is stored in the storage device. Is provided with a processing device for obtaining the equivalent single pendulum length and moment of inertia suitable for the above-mentioned, and an output device for outputting the result obtained by the processing device.

  On the other hand, in the aspect using the data (second data) relating to the movement of each golfer during the swing, the above method uses the sensor device attached to the back of the golfer to obtain predetermined data relating to the movement of each golfer during the swing. A step of collecting, predetermined data collected from each golfer, predetermined data collected from a plurality of experts, and a predetermined rule constructed from selection results of optimum golf clubs selected by a plurality of experts. And determining a corresponding simple pendulum length and moment of inertia suitable for each golfer.

  Moreover, in the same aspect, the system is attached to a golfer's back, a sensor device capable of collecting predetermined data regarding the movement of each golfer during swing, and predetermined data collected from a plurality of skilled workers And a storage device for storing predetermined rules constructed from selection results of the optimum golf clubs selected by each of the plurality of skilled persons, predetermined data collected by the sensor device, and predetermined rules stored in the storage device Based on this, a processing device for obtaining the equivalent single pendulum length and moment of inertia suitable for each golfer, and an output device for outputting the result obtained by the processing device are provided.

  Furthermore, in the aspect using the data regarding the characteristics of the golfer including the physical characteristics of each golfer (first data) and the data regarding the movement of each golfer during swing (second data), the method includes: Collecting one data from each golfer; collecting second data by a sensor device attached to the back of the golfer; and first data and second data collected from each golfer; Based on the first data and the second data collected from a plurality of skilled persons and a predetermined rule constructed from the selection result of the optimum golf club selected by each of the plurality of skilled persons, an equivalent suitable for each golfer Determining a single pendulum length and a moment of inertia.

  Further, in the same aspect, the system includes an input device for inputting first data related to the characteristics of the golfer including physical characteristics of each golfer, and a movement of each golfer during swinging, which is attached to the back of the golfer. The sensor device capable of collecting the second data regarding the first data, the second data collected from a plurality of experts, and the selection result of the optimum golf club selected by each of the plurality of experts Based on the storage device that stores the predetermined rule, the first data input to the input device, the second data collected by the sensor device, and the predetermined rule stored in the storage device, A processing device for obtaining an equivalent single pendulum length and moment of inertia suitable for a golfer, and an output device for outputting a result obtained by the processing device.

  In the present invention, as “a plurality of skilled persons”, for example, a plurality of persons (for example, about 20 persons) satisfying conditions such as golf history of 10 years or more, an average score of 90 or less, and the number of rounds of 20 or more per year are selected. .

  In a typical example of the present invention, the predetermined rule includes predetermined data (first data and second data) collected from a plurality of skilled persons and selection of an optimum golf club selected by the plurality of skilled persons. It consists of a regression equation calculated by regression analysis using the results.

  The “regression analysis” in the present invention uses predetermined data items (for example, “body length” and “angular velocity in the roll direction” described later) as explanatory variables (independent variables), and is suitable for each golfer. The simple pendulum length and moment of inertia are used as objective variables (dependent variables). Here, the number of explanatory variables (independent variables) may theoretically be one, but in a typical example, there are a plurality. Therefore, “regression analysis” in the present invention is typically “multiple regression analysis” having a plurality of explanatory variables (independent variables).

  “Multiple regression analysis” is one of the widely known multivariate analyses. For example, “<Revised version> multivariate analysis method”, Chuichi Okuno et al., “II multiple regression analysis” (25 Pp. 158 to 158) and the like, and detailed description thereof will not be repeated in this specification.

  In place of the above "multiple regression analysis", "predetermined rules" corresponding to "regression formulas" are constructed using other statistical analysis, artificial intelligence, or data mining techniques such as neural networks and genetic algorithms. It is also possible to do.

  In one embodiment of the present invention, the predetermined data relating to the golfer's characteristics (which may be referred to herein as “questionnaire data”) is data relating to the golf experience of each golfer, relating to reflexes. And at least one data out of the group consisting of data, data about power, data about body length, and data about body flexibility.

  The questionnaire data is collected by conducting a questionnaire, a simple game, measuring, and the like for each golfer. About a questionnaire, an answer may be obtained at a store or an answer may be obtained through a telecommunication line.

  In one embodiment of the present invention, the predetermined data relating to the movement at the time of swing (in the present specification, this may be referred to as “sensor data”) is data relating to the rate of change of acceleration perpendicular to the back of the hand, It includes at least one data out of a group consisting of data relating to angular velocity at impact in the roll direction, data relating to maximum angular velocity in the yaw direction, data relating to swing time, and data relating to downswing time.

  The sensor data can be collected by having the golfer actually swing with the sensor device attached to the back.

  In this specification, “roll direction”, “pitch direction”, and “yaw direction” mean rotation directions around three axes in a relative coordinate system set on the back of the hand at the time of swing. “Roll direction” means the direction of rotation about the axis of the shaft (the X axis in FIGS. 2 and 3), and “pitch direction” means the axis extending in the palm width direction (Y in FIGS. 2 and 3). “Yaw direction” means a rotational movement around an axis (Z axis in FIGS. 2 and 3) extending perpendicular to the palm.

  In other words, the “roll direction” is the direction of the rotational motion corresponding to the return of the head during the swing, and the “pitch direction” is the direction of the rotational motion corresponding to the translational motion of the head during the swing. The “yaw direction” is the direction of rotational movement corresponding to the cock and uncock at the time of swing.

  Further, in the present specification, the “acceleration change rate (da / dt)” is obtained by the following equation (2) based on the acceleration in each axial direction.

That is,
da / dt = (a _imp −a _max ) / (t _imp −t _max ) (2)
a _imp : acceleration at impact a _max : maximum or minimum value of acceleration during swing (absolute value is maximum)
t _imp : impact time t _max : time at which the acceleration shows a maximum value or a minimum value (absolute value is maximum). The “rotational angular velocity change rate (dω / dt)” is obtained in the same manner.

  In this specification, “swing time” means the time from the swing start time to the impact time.

  Also, in this specification, the time when the rotation angle of the “back direction” of the back of the hand during the swing is minimum (absolute value is maximum) is “top time”, and “top time” to “impact time” is “ Downswing time ".

  A golf club suitable for each golfer can be selected by obtaining the equivalent single pendulum length and moment of inertia of the golf club optimum for each golfer by the above-described method and system.

  In one embodiment of the present invention, based on the equivalent simple pendulum length and moment of inertia of each golf club in a library of golf clubs prepared in advance, and the equivalent simple pendulum length and moment of inertia determined by the method described above. A golf club suitable for each golfer is selected from the library.

  A library of golf clubs may be stored in a storage device or displayed on a panel. If the library is stored in a storage device, the processing device selects a golf club, and if the library is displayed on a panel, a person selects a golf club. When the processing device selects a golf club, the result is output to the output device. The output form in the output device may be a form displayed on the display unit, a form outputting audio, or a form outputting by printing.

  In another embodiment of the present invention, the weight and the weight suitable for each golfer are adjusted for the weight for adjusting the position of the center of gravity of the golf club based on the equivalent single pendulum length and the moment of inertia obtained by the above-described method. Ask.

  According to the present invention, the equivalent single pendulum length and moment of inertia suitable for each golfer can be easily and accurately obtained.

It is a figure for demonstrating the "moment of inertia" of a golf club. It is FIG. (1) for demonstrating the relative coordinate system set on the back of a golfer. It is FIG. (2) for demonstrating the relative coordinate system set on the golfer's back. It is a flowchart which shows the golf club selection method which concerns on one embodiment of this invention. It is a figure showing the whole system composition used for the golf club selection method concerning one embodiment of the present invention. It is a figure which shows the state which attached the sensor apparatus to the golfer's back. It is a figure which shows the example of the questionnaire performed with respect to a golfer for collection of questionnaire data. It is a figure which shows the example of the display screen used for collection of questionnaire data. It is a figure which shows the example of the classification | category of questionnaire data. It is a flowchart which shows each step until sensor data is collected. It is FIG. (1) which shows the calculation method of the parameter calculated from sensor data. It is FIG. (2) which shows the calculation method of the parameter calculated from sensor data. It is FIG. (The 3) which shows the calculation method of the parameter calculated from sensor data. It is a figure which shows the example of the parameter calculated from sensor data. It is a flowchart which shows the multiple regression analysis in the golf club selection method which concerns on one embodiment of this invention. It is a figure which shows the example of the library of a golf club. It is a figure which shows the golf club which attached the weight to the shaft. It is a figure which shows the model of a neural network.

  Embodiments of the present invention will be described below. Note that the same or corresponding portions are denoted by the same reference numerals, and the description thereof may not be repeated.

  Note that in the embodiments described below, when referring to the number, amount, and the like, the scope of the present invention is not necessarily limited to the number, amount, and the like unless otherwise specified. In the following embodiments, each component is not necessarily essential for the present invention unless otherwise specified.

(Overall configuration of method and system)
FIG. 4 is a flowchart showing a golf club selection method according to the present embodiment. As shown in FIG. 4, in the golf club selection method according to the present embodiment, first, questionnaire data and sensor data are collected in step 11 (hereinafter abbreviated as “S11”. The same applies to other steps). .

  Next, in S12, an equivalent simple pendulum length and moment of inertia suitable for each golfer are calculated using a regression equation prepared in advance.

  In S13, an optimum golf club is selected based on the equivalent single pendulum length and the moment of inertia.

  FIG. 5 is a diagram showing an overall configuration of a system used for the selection method. As shown in FIG. 5, the system used for the selection method includes an input device 1 for inputting questionnaire data of each golfer, and data (sensors) attached to the golfer's back and related to the movement of each golfer during swinging. Data) and a process for obtaining a corresponding single pendulum length and moment of inertia suitable for each golfer and selecting a golf club suitable for the golfer based on the detection result of the sensor device 2 The apparatus 3 and the output apparatus 4 which outputs the result calculated | required by the processing apparatus 3 are provided.

  The input device 1 is a device that includes, for example, a touch panel and a keyboard. The sensor device 2 includes an angular velocity sensor capable of measuring angular velocities around three axes orthogonal to each other (X axis, Y axis, and Z axis in FIG. 5) and three axes orthogonal to each other (X axis, Y axis, An acceleration sensor capable of measuring acceleration in the (Z-axis) direction is included. The sensor device 2 is attached to the back of the golfer so that one of the three axes in the angular velocity sensor and the acceleration sensor faces the axial direction of the shaft. The sensor device 2 has a time resolution of 0.001 second, and the measurement range is about ± 2500 deg / s for the angular velocity sensor and about ± 30 G for the acceleration sensor.

  The input device 1 and the sensor device 2 are connected to the processing device 3. The questionnaire data input to the input device 1 and the sensor data collected by the sensor device 2 are transmitted to the processing device 3 in an electronic format.

  The processing device 3 includes, for example, a CPU and electronically processes questionnaire data and sensor data. The processing device 3 is connected to the storage device 3A. The storage device 3A is made of, for example, a hard disk and stores a regression equation for obtaining the equivalent simple pendulum length and moment of inertia. Further, the storage device 3A may store a golf club library for selecting an optimal golf club.

  The processing device 3 calculates an equivalent simple pendulum length and moment of inertia suitable for each golfer using the questionnaire data and sensor data described above and the regression equation stored in the storage device 3A. The calculated result is output to the output device 4 including, for example, a display monitor. The output device 4 may output only the selection result of the golf club selected by the processing device 3 without outputting the calculation result of the equivalent single pendulum length and the moment of inertia.

  The present invention is not limited to the system shown in FIG. For example, the processing device 3 may only calculate the equivalent single pendulum length and the moment of inertia, and a person may select the optimum golf club based on the calculation result.

  FIG. 6 is a view showing a state in which the sensor device 2 is attached to the back of the golfer. As shown in FIG. 6, the sensor device 2 is attached to the back via the attachment member 5. The attachment member 5 has a portion that covers the back of the golfer, but does not have a portion that covers the palm. Therefore, as a golfer, even when the attachment member 5 is mounted, it is possible to grip the grip with the same feeling as a bare hand. Note that the attachment member 5 may be mounted while the golfer wears gloves.

  The attachment member 5 has a pocket portion 5 </ b> A in an inner portion facing the back. The sensor device 2 is accommodated in the pocket 5A. Since the mounting member 5 is fixed to the back of the golfer, the sensor device 2 can be fixed to the back along a predetermined direction by matching the outer shape of the sensor device 2 with the shape of the pocket portion 5A. Thus, the angular velocity around the three axes (X axis, Y axis, Z axis in FIG. 5) and acceleration in the three axis (X axis, Y axis, Z axis in FIG. 5) direction can be measured.

  Moreover, the attachment member 5 has the window part 5B so that the inside of the pocket part 5A can be visually recognized from the outside. By providing the window portion 5B, it is possible to check the state of the sensor device 2 housed in the pocket portion 5A (for example, the orientation, the remaining battery level, etc.) while the mounting member 5 is attached to the golfer. is there.

  Furthermore, the attachment member 5 has a hole 5C for passing the middle finger of the golfer. The attachment member 5 has a tapered shape whose width increases toward the wrist side.

  In the case of a right-handed golfer, the sensor device 2 is attached to the left hand for measurement. In the case of a left-handed golfer, the sensor device 2 is attached to the right hand for measurement. The gloves (for left hand) shown in FIG. 6 are for right-handed golfers.

(Collection of questionnaire data)
FIG. 7 shows an example of a questionnaire for a golfer to collect questionnaire data. FIG. 7 shows the contents of a questionnaire for male golfers. When conducting a questionnaire for female golfers, for example, numerical values such as “average score”, “7-iron flight distance”, elongation, weight, etc. To change.

  For example, in the case of “shoulder flexibility”, the state when both arms are raised to the side of the ear and both arms are bent back is answered. If it is “flexibility of the hip joint”, the user answers based on the angle when the leg is opened while sitting in a long position and then keeping the upper body straight.

  The answers to the alternative questionnaire shown in FIG. 7 are scored between “−2” and “2” for each element. Note that not all questionnaire responses are used to select a golf club.

  In addition to the questionnaire, a simple diagnostic game is performed. For example, as a method for evaluating the swing tempo of each golfer, the swing tempo can be evaluated based on the average tempo or the like by repeatedly pressing a button at a constant tempo as desired by the golfer.

  In addition, red or blue is randomly displayed in the lighting area of the display screen shown in FIG. 8. When blue is displayed, the key is pressed, and when red is displayed, the key is not pressed (Go / No go), display multiple times. At that time, the golfer's minimum reaction time, maximum reaction time, and average reaction time are measured.

  Further, using the display screen, when blue is displayed in the lighting area (red is not displayed), the key is pressed as soon as possible and the blue is displayed. The reaction time (Simple Reaction Time) of the golfer at that time is measured.

  “Go / No go” reaction time minimum value, reaction time maximum value, reaction time average value, and “Simple Reaction Time” are elements for evaluating golfer's reflexes.

  Each element described above is classified into five factors of “golf experience”, “reflexes”, “power”, “body length” and “body flexibility” based on the correspondence table shown in FIG. . The score of each element obtained by the questionnaire and the diagnostic game is the result of each factor after being multiplied by the weighting coefficient.

The “weighting coefficient” for each element is determined by principal component analysis, for example.
Through the above process, X (X ₁ , X ₂ , X ₃ , X ₄ ,..., X _n ) n results (5 in the example of FIG. 9) are obtained as questionnaire data. .

(Sensor data collection)
FIG. 10 is a flowchart showing each step until sensor data is collected.

  First, in S 21, whether to collect sensor data by “swing” or to collect sensor data by “actual ball hit” is input to the input device 1. Whether “swing” or “actually hit the ball” affects the specification of “impact time” to be described later.

  In S22, the angular velocity around the three axes (X axis, Y axis, Z axis in FIG. 5) and the acceleration signal in the direction of the three axes (X axis, Y axis, Z axis in FIG. 5) are determined for a predetermined time (for example, 12 seconds). During this time, the golfer swings.

  In S23, drift is removed by averaging the data for a predetermined time (for example, 0.05 seconds) from the start of measurement and subtracting it from the measured value.

  In S24, low-pass filter processing is performed on the data measured by the acceleration sensor.

  Next, in S25, the impact time is specified. When sensor data is collected by “swing”, the time when the angular velocity in the “roll” direction is minimum is set as “impact time”. When sensor data is collected by “actually hitting a ball”, a predetermined time before the time when the angular acceleration in the “roll” direction first becomes equal to or higher than a predetermined threshold or lower than the threshold (for example, 0.002 seconds before). Let it be “impact time”. In the case of “actual ball hit”, when the “impact time” cannot be specified by the angular acceleration in the “roll” direction (when the angular acceleration does not exceed the threshold value or below the threshold value), the same as in the case of “swing” Furthermore, the time when the angular velocity in the “roll” direction is minimum is defined as “impact time”.

  Next, in S26, when the “impact time” is after 2 seconds from the start of measurement, data from the “impact time” to 2 seconds before is extracted. If the “impact time” is within 2 seconds from the start of measurement, data from the start of measurement to the “impact time” is extracted.

  In S27, the measurement value of the angular velocity is returned to the angle. In S28, the values of the parameters (rotation angle, rotation angular velocity, acceleration) at the “impact time” are extracted.

  Further, in S29, “swing time” is calculated. Specifically, the time when the angle of the “roll direction” exceeds a predetermined threshold (for example, 5 degrees) is defined as “swing start time”, and the time from “swing start time” to “impact time” is defined as “swing time”. .

  In S30, “down swing time” is calculated. Specifically, the time at which the rotation angle in the “yaw direction” of the back during the swing is minimum (absolute value is maximum) is “top time”, and the time from “top time” to “impact time” is “down swing time” "

In S31, the maximum rotation angle θ _max , the maximum rotation angular velocity ω _max, and the maximum acceleration a _max (measured value) in each direction (“roll direction”, “pitch direction”, and “yaw direction”) between the start of swing and impact. Is the maximum or minimum, that is, the absolute value is maximum). Further, in S32, a time t from the time indicating the maximum rotational angular velocity and the maximum acceleration to the “impact time” is extracted. In S33, “the rate of change in rotational angular velocity (dω / dt)” and “the rate of change in acceleration (da / dt)” are calculated.

The calculation method of each parameter mentioned above is illustrated in FIGS.
According to the above process, m results of Y = (Y ₁ , Y ₂ , Y ₃ , Y ₄ ,..., Y _m ) (in the example of FIG. 10, the column of “Example 1” in FIG. 14). However, the present invention is not limited to this.). Finally, the result obtained by the above process is stored in the storage device 3A.

  Note that the optimal equivalent single pendulum length and moment of inertia may be calculated using only some of the 19 results (for example, “Example 2” and “Example 3” in FIG. 14). The optimal equivalent simple pendulum length and moment of inertia may be calculated using all 19 results.

(Calculation of optimal equivalent single pendulum length and moment of inertia)
The equivalent single pendulum length and moment of inertia suitable for each golfer are calculated by a multiple regression equation prepared in advance.

That is, a certain golfer obtains n results of X = (X ₁ , X ₂ , X ₃ , X ₄ ,..., X _n ) as questionnaire data, and Y = (Y ₁ , Y ₂ , Y ₃ , Y ₄ ,..., Y _m ), and if m results are obtained, Z = (X ₁ , X ₂ , X ₃ , X ₄ , ..., X _n , Y ₁ , Y ₂ , Y ₃ , Y ₄ ,..., Y _m ) n + m data can be obtained.

Here, as a multiple regression equation for obtaining the moment of inertia I, I = Z · A + C _a (A: multiple regression coefficient matrix, C _a : constant term matrix),
L = Z · B + C _b (B: multiple regression coefficient matrix, C _b : constant term matrix) as a multiple regression equation for obtaining the equivalent simple pendulum length L,
Is prepared, it is possible to calculate the equivalent single pendulum length and the moment of inertia optimum for the golfer.

(Multiple regression analysis)
As described above, the multiple regression equations for obtaining the equivalent single pendulum length and moment of inertia suitable for each golfer are the data collected from a plurality of skilled workers and the selection result of the optimum golf club selected by each of the plurality of skilled workers. It is calculated in advance by multiple regression analysis using.

  A flow of “multiple regression analysis” according to the present embodiment is schematically shown in FIG. That is, in S41, a plurality of skilled workers are selected based on the above-described criteria. Thereafter, in S42, predetermined data from the expert (data relating to the golfer's characteristics including the physical characteristics of each golfer (first data) and data relating to the movement of each golfer during the swing (second data)). ).

  Furthermore, in S43, each expert is made to select the golf club which he considers optimal from a predetermined library. Note that the order of S42 and S43 may be reversed.

In S44, multiple regression coefficient matrices A and B and constant term matrices C _a and C _b are obtained by multiple regression analysis using the data collected in S42 and the golf club selection result in S43.

  Through the above process, a multiple regression equation can be prepared for determining the equivalent single pendulum length and moment of inertia suitable for each golfer.

  In place of the multiple regression equation described above, a multiple regression equation obtained using n questionnaire data X collected from a plurality of skilled workers and golf club selection results selected by the plurality of skilled workers may be used. Good.

In this case, the multiple regression equation for obtaining the moment of inertia I is
I = X · A _x + C _xa (A _x : multiple regression coefficient matrix, C _xa : constant term matrix)
The multiple regression equation for calculating the equivalent single pendulum length L is
L = X · B _x + C _xb (B _x : multiple regression coefficient matrix, C _xb : constant term matrix)
It becomes.

  From these multiple regression equations, the optimum single pendulum length and moment of inertia values optimum for the golfer can be calculated.

  Further, it may be a multiple regression equation obtained by using m pieces of sensor data Y collected from a plurality of skilled workers and a golf club selection result selected by the plurality of skilled workers.

In this case, the multiple regression equation for obtaining the moment of inertia I is
I = Y · A _y + C _ya (A _y : multiple regression coefficient matrix, C _ya : constant term matrix)
The multiple regression equation for calculating the equivalent single pendulum length L is
L = Y · B _y + C _yb (B _y : multiple regression coefficient matrix, C _yb : constant term matrix)
From these multiple regression equations, the optimum single pendulum length and moment of inertia values optimum for the golfer can be calculated.

(Selection of golf clubs)
After the equivalent single pendulum length (L) and moment of inertia (I) suitable for each golfer are calculated, a golf club suitable for each golfer is selected.

  In one example, golf clubs are selected from a library including a plurality of golf clubs (five golf clubs in the example of FIG. 16) as shown in FIG.

As shown in FIG. 16, each golf club has its own equivalent simple pendulum length (L _D1 , L _D2 , L _D3 , L _D4 , L _D5 ) and moment of inertia (I _D1 , I _D2 , I _D3 , I _D4). , I _D5 ).

For example, the evaluation formula for “driver 1” in FIG.
R ₁ = P (I−I _D1 ) ² + (L−L _D1 ) ² (R ₁ : Evaluation Value, P: Weighting Factor)
It becomes.

Similarly, evaluation values R ₂ to R ₅ for “driver 2” to “driver 5” are obtained. It can be evaluated that the golf ball having the smallest evaluation value is the optimum golf club among “driver 1” to “driver 5”, and the golf ball having the second smallest evaluation value is the next best.

  By the way, as shown in FIG. 17, by providing a weight 6 (concentrated mass) in the vicinity of the grip of the golf club, the distance (r) from the grip end to the position of the center of gravity is adjusted. The length and moment of inertia can be adjusted as appropriate.

  After the equivalent single pendulum length (L) and moment of inertia (I) suitable for each golfer are calculated, the position and weight of the weight may be adjusted based on the results.

  Of course, the golf club having the weight shown in FIG. 17 may be included in the library shown in FIG.

(Modification)
In the above example, an example of constructing a “predetermined rule” for obtaining an equivalent single pendulum length and moment of inertia suitable for each golfer by multiple regression analysis has been described. The “predetermined rule” may be constructed using statistical analysis, artificial intelligence, or a data mining technique such as a neural network or a genetic algorithm.

  For example, “IT Text Artificial Intelligence Information Processing Society Editing” Publisher: Ohmsha (2005/07), Authors: Kazunori Matsumoto, Yasuo Nagai, Tetsuhiro Miyahara, Supervision: Honoda It is described in “Shinichi”.

  Further, a method for constructing a rule using a neural network is described in detail in, for example, “Neural network and fuzzy signal processing (digital signal processing library)”, Takashi Tanibe et al.

  The rule construction method using genetic algorithm (GA) is described, for example, in "" Basics of Genetic Algorithm-Solving the Mystery of GA "Publisher: Ohm (1994/09), Author: Masashi Iba" Has been.

  As described above, the rule construction method according to each method is described in general literatures. Therefore, detailed description will not be repeated in this specification, but a neural network model that is a typical method of data mining will be described. This will be described with reference to FIG.

  The model shown in FIG. 18 includes three layers: an input layer, an intermediate layer, and an output layer. In addition, it is also possible to make an intermediate | middle layer into two or more layers.

As input data of the input layer, a method using only _n questionnaire data X = (X ₁ , X ₂ , X ₃ , X ₄ ,..., X _n ) collected from a plurality of skilled persons, Method using only m pieces of sensor data Y = (Y ₁ , Y ₂ , Y ₃ , Y ₄ ,..., Y _m ) collected from experts, questionnaire data X = (sampled from a plurality of experts X ₁ , X ₂ , X ₃ , X ₄ ,..., X _n ) and sensor data Y = (Y ₁ , Y ₂ , Y ₃ , Y ₄ ,..., Y _m N + m data Z = (X ₁ , X ₂ , X ₃ , X ₄ ,..., X _n , Y ₁ , Y ₂ , Y ₃ , Y ₄₎ ,..., Y _m ) can be considered.

  The output data of the output layer is equivalent single pendulum length (L) and moment of inertia (I). A golf club selection result selected by a plurality of experts becomes teacher data, and a high-precision neural network is constructed by repeating learning. As a learning method, an error back propagation method is generally used. When the learned model is used to input only the questionnaire data of the golfer, only the sensor data, or the combined data of the questionnaire data and the sensor data, the moment of inertia (I) and the corresponding simple pendulum length ( L) is output.

  Although the embodiments of the present invention have been described above, the embodiments disclosed this time should be considered as illustrative in all points and not restrictive. The scope of the present invention is defined by the terms of the claims, and is intended to include any modifications within the scope and meaning equivalent to the terms of the claims.

  1 input device, 2 sensor device, 3 processing device, 3A storage device, 4 output device, 5 mounting member, 5A pocket portion, 5B window portion, 5C hole portion, 6 weight.

Claims (18)

A method for obtaining an equivalent single pendulum length and moment of inertia of a golf club optimum for each golfer,
Collecting predetermined data relating to the golfer's characteristics, including the physical characteristics of each golfer, from each golfer;
Based on the predetermined data collected from each golfer, the predetermined data collected from a plurality of experts, and a predetermined rule constructed from selection results of optimum golf clubs respectively selected by the plurality of experts. Determining the equivalent simple pendulum length and moment of inertia suitable for each golfer.   The predetermined data includes at least one data selected from the group consisting of data on golf experience of each golfer, data on reflexes, data on power, data on body length, and data on body flexibility. The method of claim 1 comprising. A method for obtaining an equivalent single pendulum length and moment of inertia of a golf club optimum for each golfer,
Collecting predetermined data relating to the movement of each golfer during a swing by a sensor device attached to the back of the golfer;
Based on the predetermined data collected from each golfer, the predetermined data collected from a plurality of experts, and a predetermined rule constructed from selection results of optimum golf clubs respectively selected by the plurality of experts. Determining the equivalent simple pendulum length and moment of inertia suitable for each golfer.   The predetermined data is a group of data consisting of data relating to the rate of change of acceleration perpendicular to the back of the hand, data relating to angular velocity at the time of impact in the roll direction, data relating to maximum angular velocity in the yaw direction, data relating to swing time, and data relating to downswing time. 4. The method according to claim 3, comprising at least one piece of data.   The predetermined rule includes a regression equation calculated by regression analysis using the predetermined data collected from a plurality of experts and the selection result of the optimum golf club selected by each of the plurality of experts. A method according to any of claims 4 to 5. A method for obtaining an equivalent single pendulum length and moment of inertia of a golf club optimum for each golfer,
Collecting first data regarding the golfer's characteristics including physical characteristics of each golfer from each golfer;
Collecting second data relating to the movement of each golfer during swing by means of a sensor device attached to the back of the golfer;
The first data and the second data collected from each golfer, the first data and the second data collected from a plurality of experts, and the optimum golf selected by each of the plurality of experts Determining a corresponding simple pendulum length and moment of inertia suitable for each golfer based on predetermined rules constructed from club selection results.   The predetermined rule is a regression calculated by a regression analysis using the first data and the second data collected from a plurality of experts and the selection result of the optimum golf club selected by each of the plurality of experts. The method of claim 6, comprising the formula: Determining the equivalent single pendulum length and moment of inertia of a golf club optimum for each golfer by the method according to any one of claims 1 to 7;
Based on the equivalent simple pendulum length and moment of inertia of each golf club in the library of golf clubs prepared in advance, and the equivalent simple pendulum length and moment of inertia determined by the method, each golf player is selected from the library. And selecting a golf club suitable for the golf club. A method for obtaining a position and a weight of the weight suitable for each golfer in a golf club having a weight for adjusting the position of the center of gravity of the golf club,
Determining the equivalent single pendulum length and moment of inertia of a golf club optimum for each golfer by the method according to any one of claims 1 to 7;
Determining the position and weight of the weight suitable for each golfer based on the equivalent single pendulum length and moment of inertia determined by the method. A system for determining the equivalent single pendulum length and moment of inertia of a golf club optimal for each golfer,
An input device for inputting predetermined data relating to the characteristics of the golfer including physical characteristics of each golfer;
A storage device for storing the predetermined data collected from a plurality of experts and a predetermined rule constructed from selection results of optimum golf clubs selected by each of the plurality of experts;
A processing device for obtaining an equivalent simple pendulum length and moment of inertia suitable for each golfer based on the predetermined data input to the input device and the predetermined rule stored in the storage device;
An output device for outputting a result obtained by the processing device.   The predetermined data includes at least one data selected from the group consisting of data on golf experience of each golfer, data on reflexes, data on power, data on body length, and data on body flexibility. The system of claim 10, comprising: A system for determining the equivalent single pendulum length and moment of inertia of a golf club optimal for each golfer,
A sensor device attached to the back of the golfer and capable of collecting predetermined data regarding the movement of each golfer during swing;
A storage device for storing the predetermined data collected from a plurality of experts and a predetermined rule constructed from selection results of optimum golf clubs selected by each of the plurality of experts;
A processing device for determining an equivalent simple pendulum length and moment of inertia suitable for each golfer based on the predetermined data collected by the sensor device and the predetermined rule stored in the storage device;
An output device for outputting a result obtained by the processing device.   The predetermined data is a group of data consisting of data relating to the rate of change of acceleration perpendicular to the back of the hand, data relating to angular velocity at the time of impact in the roll direction, data relating to maximum angular velocity in the yaw direction, data relating to swing time, and data relating to downswing time. 13. The system of claim 12, comprising at least one piece of data.   11. The predetermined rule includes a regression equation calculated by regression analysis using the predetermined data collected from a plurality of experts and a selection result of an optimum golf club selected by each of the plurality of experts. The system according to claim 13. A system for determining the equivalent single pendulum length and moment of inertia of a golf club optimal for each golfer,
An input device for inputting first data relating to the characteristics of the golfer including physical characteristics of each golfer;
A sensor device attached to the back of the golfer and capable of collecting second data relating to the swinging movement of each golfer;
A storage device for storing predetermined rules constructed from selection results of the first golf data and the second data collected from a plurality of experts and the optimum golf club selected by each of the plurality of experts;
Suitable for each golfer based on the first data input to the input device, the second data collected by the sensor device, and the predetermined rule stored in the storage device A processing device for determining the equivalent simple pendulum length and moment of inertia;
An output device for outputting a result obtained by the processing device.   The predetermined rule is a regression calculated by a regression analysis using the first data and the second data collected from a plurality of experts and the selection result of the optimum golf club selected by each of the plurality of experts. The system of claim 15, comprising a formula. The storage device stores a corresponding simple pendulum length and moment of inertia of each golf club in a library of golf clubs prepared in advance.
The processing device is based on the equivalent simple pendulum length and moment of inertia suitable for each golfer determined by the processing device, and the equivalent simple pendulum length and moment of inertia of each golf club stored in the storage device. Select a golf club suitable for each golfer from the library,
The system according to any one of claims 10 to 16, wherein the output device outputs a golf club selected by the processing device. The processing device is suitable for each golfer in a golf club having a weight for adjusting the position of the center of gravity of the golf club based on the equivalent single pendulum length and moment of inertia suitable for each golfer obtained by the processing device. Obtain the position and weight of the weight,
The system according to claim 10, wherein the output device outputs the position and weight of the weight determined by the processing device.

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