JP6101482B2 - Swing simulation system, simulation apparatus, and simulation method - Google Patents

Description

  The present invention relates to a swing simulation system, a simulation apparatus, and a simulation method.

  As a method of analyzing the behavior of a golf club during a swing by a golfer, conventionally, three-dimensional time series data represented by the position and orientation of a grip portion during a swing is measured and given to a golf club model as a boundary condition. A method for calculating the dynamic behavior of the club model has been proposed (see, for example, Patent Document 1). By such a method, the characteristic physical quantity of the golf club can be calculated from the calculation result.

JP 2004-242907 A

  However, in the golf club model dynamic behavior calculation method described in Patent Document 1, three-dimensional time-series data actually measured for a golf club during a swing is used as a boundary condition to the golf club model. For this reason, if the measured three-dimensional time-series data includes a noise component, there is a possibility that the accuracy cannot be sufficiently improved in the simulation using the golf club model.

  Therefore, an object of the present invention made in view of such circumstances is to provide a swing simulation system, a simulation apparatus, and a simulation method capable of improving simulation accuracy in simulating a swing using a golf club. It is in.

A swing simulation system according to the present invention that achieves the above object is a swing simulation system using a golf club by a golfer, the measurement device measuring the swing, and the measurement of the swing measured by the measurement device A low-pass filter, and a simulation device for simulating the swing based on the filtered measurement data , wherein the cutoff frequency Z of the low-pass filter is
Z = k · (1 / X) 3 ≦ k ≦ 15
Meet, however
X: Time from start of downswing to impact (seconds)
k: Filter coefficient (constant)
Z: Cut-off frequency (Hz) of the low-pass filter
It is characterized by that.

  According to the swing simulation system of the present invention, the simulation accuracy can be improved.

In the swing simulation system according to the present invention, the cut-off frequency Z is preferably 30 Hz or less . According to this configuration, the obtained head speed waveform can be made smooth .

  In the swing simulation system according to the present invention, the simulation device may input the measurement data to a golf club model having an elastic body with a grip portion and a shaft portion of the golf club to simulate the swing. preferable. According to this configuration, it is possible to avoid the occurrence of a simulation error that occurs when the grip portion is set as a rigid body and the shaft portion is set as an elastic body in the golf club model.

  In the swing simulation system according to the present invention, it is preferable that the measurement data is position information of at least three points that follow the golf club and are not on a straight line. According to this configuration, the swing can be simulated three-dimensionally.

  In the swing simulation system according to the present invention, it is preferable that the measurement data is information acquired by a sensor attached to the golf club. According to this configuration, calculation for simulation is simplified.

In order to achieve the above object, a swing simulation device according to the present invention is a swing simulation device using a golf club by a golfer, and the swing measurement data is filtered using a low-pass filter. A filtering unit, and a simulation unit that simulates the swing based on the filtered measurement data acquired from the filtering unit ,
The cut-off frequency Z of the low-pass filter is
Z = k · (1 / X) 3 ≦ k ≦ 15
Meet, however
X: Time from start of downswing to impact (seconds)
k: Filter coefficient (constant)
Z: Cut-off frequency (Hz) of the low-pass filter
Der Ru, it is characterized in.

  According to the swing simulation apparatus of the present invention, the simulation accuracy can be improved.

In order to achieve the above object, a swing simulation method according to the present invention is a swing simulation method using a golf club by a golfer, the measurement step measuring the swing, and the swing measured in the measurement step. the measured data, a filtering step of filtering process, based on the measurement data filtering processed, looking contains and a simulation step for simulating the swing,
The cut-off frequency Z of the low-pass filter is
Z = k · (1 / X) 3 ≦ k ≦ 15
Meet, however
X: Time from start of downswing to impact (seconds)
k: Filter coefficient (constant)
Z: Cut-off frequency (Hz) of the low-pass filter
It is characterized by that.

  According to the swing simulation method of the present invention, the simulation accuracy can be improved.

  According to the present invention, when simulating a swing using a golf club, simulation accuracy can be improved.

1 is a functional block diagram showing a schematic configuration of a swing simulation system according to an embodiment of the present invention. It is the schematic which shows an example of the measuring apparatus in the simulation system of the swing which concerns on one Embodiment of this invention. It is a figure which shows an example of the golf club used with the simulation system which concerns on one Embodiment of this invention. 5 is a flowchart for explaining a swing simulation method according to an embodiment of the present invention. Comparing the simulation result by the simulation system according to the present embodiment from the start of the golf swing to the start of the downswing, the measurement data of the golf swing, and the simulation result performed without filtering the measurement data FIG. It is the figure which compares and compares the simulation result by the simulation system by this embodiment from after the start of a downswing to after the impact, the simulation data performed without performing filtering with respect to the measurement data of golf swing, and measurement data. is there. It is a figure which shows an example of the simulation result by the simulation system which concerns on one Embodiment of this invention.

  Hereinafter, a swing simulation system, a simulation apparatus, and a simulation method according to an embodiment of the present invention will be described in detail with reference to the drawings.

  FIG. 1 is a functional block diagram showing a schematic configuration of a swing simulation system according to an embodiment of the present invention. A swing simulation system 1 shown in FIG. 1 is a simulation system for simulating a swing using a golf club by a golfer. The simulation system 1 performs a filtering process on the measurement device 2 that measures the swing, and the swing measurement data (swing behavior) measured by the measurement device 2 using a low-pass filter, and the filtered measurement data And a simulation device 3 for simulating a swing.

  The simulation device 3 includes a filtering unit 4 that filters measurement data, and a simulation unit 5 that simulates a swing based on the measurement data that has been filtered from the filtering unit 4. The filtering unit 4 and the simulation unit 5 are provided in a calculation unit 6 configured by, for example, a CPU (Central Processing Unit) or a DSP (Digital Signal Processor). Further, the simulation device 3 includes a control unit 7 that controls the overall operation of the simulation device 3, a display unit 8 that displays a simulation result by the simulation unit 5, a database 9 that stores the simulation result, and a measurement from the measurement device 2. An interface (I / F) 10 for capturing data can be provided.

  For example, as shown in FIG. 2, the measuring device 2 includes at least two imaging devices 21 and 22 that image a golf swing using a golf club 25 by a golfer 24, and a three-dimensional image measurement processing device 23. Is done. The three-dimensional image measurement processing device 23 acquires position information on at least three points that are not on a straight line that follows the golf club 25 during a swing. Here, “following” a golf club means that the golf club moves as the golf club moves.

  In this case, the image pickup devices 21 and 22 printed on the golf club's grip and shaft, or identification features such as at least three markers attached to the golf club (to be described in detail later with reference to FIG. 3). An identification feature such as a logo is imaged, and three-dimensional image measurement processing device 23 performs three-dimensional image measurement on the captured image, thereby acquiring position information on at least three points that are not on a straight line on golf club 25. . The imaging devices 21 and 22 are, for example, high-speed video cameras that construct a motion capture system, and can capture an object with much motion with high sensitivity. The frame rate at the time of swing imaging of the imaging devices 21 and 22 is, for example, 160 Hz.

  In this case, since the positional information of the identification feature attached to the golf club can be measured by image measurement, the positional information can be measured remotely without attaching a measuring device to the golf club itself. Further, an identification feature such as a marker attached to the golf club is preferably attached to the upper part of the shaft of the golf club. For example, the identification feature may be arranged so that the central portion of the identification feature is located within 50 mm from the lower end of the grip portion in the shaft axial direction, that is, in the central axis direction of the shaft 27 and the grip 26. This is to confirm the deformation behavior of the shaft over a wide range.

  FIG. 3 is a diagram illustrating an example of a golf club used in a simulation system according to an embodiment of the present invention. The golf club 25 has a grip 26, a shaft 27, and a head 28. Furthermore, the golf club 25 includes markers M1 to M3 that are at least three identification features that follow the grip 26 and can identify a closed virtual plane that is not in a straight line. For example, the markers M <b> 1 to M <b> 3 are spherical, and are configured with colors and materials that can be distinguished from the surroundings on the captured image of the golf club 25. The markers M1 and M3 are arranged on the shaft axis, that is, on the central axes of the shaft 27 and the grip 26 so that the centers of the markers coincide with each other, and the marker M2 is arranged on a mounting member 29 provided so as to protrude from the shaft 27. Is done.

  The configuration feature of the identification feature is not limited to the markers M1 to M3 as illustrated. For example, in FIG. 3, the markers M1 and M3 are arranged on the shaft axis so that the centers of the markers coincide with each other, but the marker M3 is also on an attachment member provided to protrude from the shaft 27 in the same manner as the marker M2. It is also possible to arrange them. It is of course possible to arrange the marker M1 at a position other than on the shaft axis. Furthermore, it is of course possible to configure the identification feature with an element other than the marker.

  The surfaces of the markers M1 to M3 are covered with a reflective tape, for example. Even if it is other than a reflective tape, the markers M1 to M3 can be covered with a material whose contrast with surrounding pixels on the images taken by the imaging devices 21 and 22 is a predetermined value or more.

  The length from the center of the marker M2 attached to the tip of the attachment member 29 to the shaft axis is, for example, less than 50 mm, but is not limited thereto. However, if the length of the attachment member 29 is too long, the attachment member 29 itself may be distorted during the swing, which may adversely affect measurement accuracy. For this reason, it is necessary to make the attachment member 29 long enough to prevent bending. The attachment member 29 is preferably made of a material having sufficiently high rigidity, such as a steel jig.

  Alternatively, the measuring device 2 may be configured as at least one sensor attached to the golf club 25. For example, the sensor may be a gyro sensor, or may be a sensor that can measure at least one of acceleration, angular velocity, and geomagnetism. The sensor mounting mode can be arranged at any one of the markers M1 to M3 shown in FIG. Since it is sufficient to determine the motion of the rigid body with six degrees of freedom, for example, one gyro sensor is arranged at the grip end (the position of M1 in FIG. 3), and the acceleration (ax, ay, az) measured thereby is determined. It is possible to determine the motion of the golf club by measuring six degrees of freedom of the angular velocities (ωx, ωy, ωz). According to such a configuration, it is possible to determine the movement of the golf club by attaching one gyro sensor to the golf club 25, and therefore it is possible to easily measure.

  FIG. 4 is a flowchart for explaining a swing simulation method according to an embodiment of the present invention. Here, the golfer 24 swings using the golf club 25. First, a measuring step for measuring a swing is performed by the measuring device 2 (step S01). For example, when the measuring device 2 is configured by the imaging devices 21 and 22 and the three-dimensional image measurement processing device 23, in step S01, as described with reference to FIGS. The attached markers M1 to M3 are imaged by the imaging devices 21 and 22. Then, the position information of the markers M1 to M3 during the swing is calculated as measurement data by the three-dimensional image measurement processing device 23.

  For example, the three-dimensional image measurement processing device 23 recognizes the markers M1 to M3 attached to the golf club 25 by the circle fitting method for an arbitrary number of frames extracted from the moving image data acquired from the imaging devices 21 and 22. The circle fitting method is a method of extracting the contours of circular (spherical in three-dimensional space) markers M1 to M3, setting a circle that approximates the extracted contours, and calculating the virtual center point of the markers M1 to M3. It is. Furthermore, the three-dimensional image measurement processing device 23 performs three-dimensional image measurement by a general method such as triangulation as position information of the markers M1 to M3, and acquires the three-dimensional coordinates of the markers M1 to M3. . The position information of the markers M1 to M3 obtained in this way is processed as measurement data in step S02.

  Thereafter, the simulation apparatus 3 performs a filtering step of filtering the measurement data acquired in step S01 using a low-pass filter by the filtering unit 4 (step S02). At this time, the high-frequency noise greatly affects the variation of the measurement data. In general, a swing by a golfer includes a backswing, which is a stage of swinging up a golf club, a downswing, which is a stage of swinging down a golf club that has been swung up and hitting a golf ball, and a follow-up that swings the golf club after hitting. Including thru. Especially, since the speed of movement of the golf club is the fastest during the downswing, the frequency becomes the highest when the measurement data during the downswing is converted into frequency components. Since the downswing is a movement of about 0.2 to 0.5 seconds, the frequency component is about 2 to 5 Hz. Therefore, it is preferable that the filtering unit 4 sets a frequency sufficiently higher than the frequency component of the downswing having the highest frequency in the three stages included in the swing as the cutoff frequency Z of the low-pass filter. This is to cut noise components that are included in the measurement data and that are derived from frequencies unrelated to the golf swing. The noise component is considered to have a great influence on the variation of the measurement data. The filter coefficient k of the low-pass filter is preferably 3 or more. The upper limit of the filter coefficient k is a value that makes the waveform of the head speed smooth, for example, 15. If the cut-off frequency Z value is too small, the fastest head speed value obtained by simulation will not match the measured value, and if the cut-off frequency Z value is too large, the noise component can be cut sufficiently. Therefore, the head speed waveform may not be smooth. The head speed is generally the fastest value near the point of impact when the golf club hits the golf ball.

Here, the cutoff frequency Z is
Z = k · (1 / X) k ≧ 3
X: Time from the start of downswing to impact (seconds)
k: Filter coefficient (constant)
Z: Cut-off frequency (Hz) of low-pass filter
It is preferable that

  In addition, the calculation method of time X (second) from the start of a downswing to an impact is as follows, for example. First, the start point of the downswing can be arbitrarily determined from image analysis of images captured by the imaging devices 21 and 22. In addition, when a simulation is performed using measurement data, the minimum value point at which the head speed first changes from a decrease to a sharp increase after the start of the golf swing is displayed on the function indicating the simulation result without filtering. It can be determined as the starting point. Next, the impact time point can be arbitrarily determined from the image analysis as in the case of the downswing start time point. Preferably, on the above-described function, the maximum time point at which the head speed first changes from increasing to decreasing after the start time of the downswing can be determined as the impact time point.

  The upper limit of the cut-off frequency Z is a value that makes the head speed waveform smooth, for example, 30 Hz. For example, when X = 0.5 seconds is slow, the cutoff frequency Z is an arbitrary value between 6 Hz and 30 Hz, and when X = 0.2 is fast, the cutoff frequency Z is an arbitrary value between 15 Hz and 30 Hz. It can be. Preferably, the cutoff frequency Z can be a value calculated by k = 3-4.

  Table 1 shows a simulation result obtained by optimizing the cutoff frequency Z for subjects with different swing speeds, an evaluation result when the simulation result is compared with an actual measurement value, and an evaluation result of speed continuity. Subjects 1 to 3 are a golfer with a fast swing speed, a normal golfer, and a slow golfer, respectively. In the evaluation result when the simulation result is compared with the actual measurement value, A indicates that the degree of coincidence between the simulation value and the actual measurement value is high, B indicates that the degree of coincidence is medium, and C indicates that the degree of coincidence is low. The judgment criteria of A to C are: A: the difference in speed from the simulation result without filtering is less than 1.5 m / s, B: the difference in speed from the simulation result without filtering is 1.5 m / s to 2.0 m Less than / s, C: The speed difference from the simulation result without filtering is 2.0 m / s or more. X is the time (seconds) from the start of the downswing to the impact. Moreover, speed continuity represents the evaluation result of continuity of speed change. In general, it is assumed that the head speed at the time of swinging continuously changes. Therefore, if the simulation result is appropriate, it is assumed that the speed continuity is good (A). The criteria of AC regarding speed continuity are as follows. A: The waveform of the simulation result is smooth. B: Calculation at the time of simulation does not stop, but the obtained waveform has shakiness. C: The waveform is so unstable that the calculation does not stop during the simulation. If the fluctuation in the head speed value of the simulation result is too large, the calculation at the time of simulation will not converge and the calculation will not stop.

  It can be seen from Table 1 that noise is reduced and simulation accuracy is improved by optimizing the cutoff frequency Z according to the above formula.

  The simulation apparatus 3 performs a simulation step of simulating a swing by the simulation unit 5 based on the filtered measurement data (step S03). The simulation method used in the simulation unit 5 follows, for example, the multibody dynamics theory. The simulation apparatus 3 can display an image of the simulation result on the display unit 8. The display of the simulation result on the display unit 8 is, for example, the deformation of the golf club during the swing or the time-series change of the head speed. Based on the measurement data of the swing using the golf club 25, the swing of the golfer 24 when another golf club having a different specification from the golf club 25 is used can be simulated and displayed on the display unit 8. By referring to such a display, the golfer can select an optimum golf club from existing golf clubs. Conventionally, the force applied to the shaft during the swing has not been analyzed, but according to the present simulation apparatus, the deformation of the golf club during the swing can be visualized. This makes it possible to analyze the influence of the force applied to the shaft during the swing on the shaft shape.

  Here, multi-body dynamics is a theory for deriving what kind of motion a system composed of a plurality of interacting rigid bodies and elastic bodies as a whole, and further generating the force in the process. As input parameters when carrying out simulation according to the multibody dynamics theory, for example, the mass, center of gravity position, inertia tensor, constraint condition (joint, forced displacement) for each of the rigid and elastic bodies that are components of the system, Force conditions (spring, damping force, friction force, contact force, gravity, external force), initial conditions (initial position, initial speed, initial posture, initial angular velocity), numerical analysis conditions (solver selection, step size, tolerance, Analysis time). From these various parameters, it is general to perform simulation by giving the minimum necessary parameters for defining the motion of the system. Prior to the simulation, the simulation unit 5 holds input parameters for executing the simulation from the specifications of the target golf club and data acquired by prior measurement by a predetermined measuring device. Required input parameters include, for example, information on weight, center of gravity, and moment of inertia for the head, and information on length, density, cross-sectional shape, bending rigidity, torsional rigidity, vibration characteristics, and damping characteristics for the shaft. For the grip, information on the weight, the position of the center of gravity, and the moment of inertia is retained. The moment of inertia can be measured by a dedicated measuring device such as a moment of inertia measuring device. As an analysis software using such multibody dynamics theory, for example, MADYMO (registered trademark) can be used.

  Here, in the present embodiment, the simulation unit 5 associates the filtered measurement data obtained in step S02 with a golf club model in which the grip portion and the shaft portion are made of an elastic body. As described above, in this embodiment, by configuring both the grip portion and the shaft portion of the golf club model with an elastic body, there is an advantage that the bending rigidity correction in the simulation becomes unnecessary. This is described below.

  Conventionally, parameters of translational and rotational motions of a golf club are derived from data of three translational motions that are not on a straight line following the movement of the grip of the golf club actually measured. The simulation was given. The golf club model used in such a simulation is one in which at least the grip portion of the golf club is set as a rigid body. In such a simulation, since the grip portion is a rigid body, it is possible to make a golf club model that is robust against errors in actually measured data for giving parameters. However, in the golf club model, when the grip portion is set as a rigid body and the shaft portion is set as an elastic body, the value of bending rigidity (EI) becomes discontinuous at the boundary between the grip portion and the shaft portion, and a rigidity step is generated. For this reason, in the simulation, stress that is not actually generated occurs between the grip portion and the shaft portion, and there is a possibility that the accuracy of the simulation is lowered, so that bending stiffness correction is necessary.

  However, in the present embodiment, since both the grip portion and the shaft portion of the golf club model are set as elastic bodies, the golf club model has no rigidity step. As described above, conventionally, at least the grip portion is set as a rigid body in the golf club model, so that the golf club model is robust against errors in the measured data. However, in this embodiment, the filtering process is performed on the measurement data to reduce an error component included in the measurement data by the measurement device, and then input to the golf club model. Therefore, in this embodiment, even if a golf club model in which both the grip part and the shaft part are set as elastic bodies is used, it is possible to obtain a simulation result that is robust with respect to measurement errors in the input parameter information.

  As described above, according to the simulation system of the present embodiment, it is possible to reduce the influence of the noise component included in the swing measurement data on the simulation result. Furthermore, in the golf club model used for the simulation, since both the grip portion and the shaft portion can be made an elastic body, the golf club model is generated when the golf club model is configured as a combination of a rigid body and an elastic body. It is possible to avoid occurrence of an error due to a difference in bending rigidity. Furthermore, since both the grip portion and the shaft portion are made of an elastic body, input parameters such as bending rigidity, torsional rigidity, vibration characteristics, and dynamic characteristics (for example, natural frequency and damping ratio) of the golf club to be simulated. Can be directly reflected in the simulation result, so that a simulation result more faithful to the actual swing behavior can be obtained.

  As described above, in the simulation system according to the present embodiment, the club behavior during the swing is simulated based on the swing measurement data and the input parameters such as the bending rigidity, torsional rigidity, vibration characteristics, and dynamic characteristics of the golf club. can do. Furthermore, in the simulation system according to the present embodiment, the specifications (such as bending rigidity, torsional rigidity, vibration characteristics, and dynamic characteristics) of the golf club suitable for the measurement data can be predicted based on the swing measurement data. Therefore, the structure of the golf club that can realize the bending rigidity and the torsional rigidity predicted by the simulation system according to the present embodiment can be uniquely calculated by the finite element method. Furthermore, for example, when a golf club having a spec is used to simulate a club behavior during a swing using ideal swing behavior (for example, professional swing measurement data) and subject measurement data, the simulation results ( From the club behavior during the swing), it is possible to examine how to approach the ideal swing.

  5A and 5B are diagrams showing a comparison between a simulation result by the simulation system according to the present embodiment, a golf swing measurement data, and a simulation result performed without filtering the measurement data. In the golf swing shown in FIGS. 5A and 5B, the start time of the downswing, which is the minimum value at which the head speed first starts to decrease from the decrease and then increases rapidly after the start of the golf swing, is 1.08 seconds. The impact time point, which is the maximum value point at which the head speed first changes from increasing to decreasing after the start time of the downswing, is 1.28 seconds. In this case, the time X from the start of the downswing to the impact is 0.2 seconds, and the swing frequency is 5 Hz. In the simulation, the filter coefficient was 1 or 4, and the cutoff frequency Z was 5 Hz or 20 Hz. As is clear from FIG. 5A, the simulation result without filtering is affected by noise. However, when the cutoff frequency Z is 5 Hz and 20 Hz, the influence of such noise is reduced. Further, as apparent from FIG. 5B, when the cut-off frequency Z is set to 20 Hz, the simulation results near the impact point in the vicinity of 1.3 seconds after the golf swing starts than when the cut-off frequency Z is set to 5 Hz. And the measured value agreed better. From this, it can be seen that the filter coefficient is preferably 3 or more.

  Thus, it can be seen that the influence of the noise component included in the measurement data on the simulation result is reduced by the simulation system according to the present embodiment. Furthermore, according to the present system, it can be understood that the change information of the head speed is acquired regarding the swing behavior, the simulation swing waveform is not fluctuated, and the noise component is removed.

  FIG. 6 is a diagram illustrating an example of a simulation result by the simulation system according to the embodiment of the present invention. The measurement data used for the simulation is measurement data obtained by imaging a swing using a golf club by a golfer with a motion capture system. This golf club is provided with three or more markers that are not in a straight line with respect to the grip, and the measurement data is time-series position information from the start of swing of these markers. In the simulation, only a frequency component of less than 20 Hz was passed through the low-pass filter from the measurement data with 20 Hz as a threshold value. In the figure, swings A and B show the measurement results of swings by subjects A and B, respectively. As shown in the figure, it can be seen that both swing profiles have few fluctuation components and the influence of noise components is low.

  As described above, according to the simulation system according to the present embodiment, the influence of the noise component can be reduced and the swing can be simulated with high accuracy. Therefore, it is possible to provide information effective for designing and developing a golf club. Furthermore, the development period can be greatly shortened by reducing the number of prototypes in the design and development of golf clubs.

  In addition, when it is used for golf club selection by a golfer, if the swing data by one golfer is measured even once, a swing using another golf club of the golfer will be performed based on the data from the next time. Since the simulation can be performed, it is not necessary for the golfer to actually go to the store and repeat the trial hitting of the golf club. In this way, the time and effort required for the golfer to select an optimal golf club can be reduced.

  It will be apparent to those skilled in the art that many changes and substitutions can be made within the spirit and scope of the invention as described above. Therefore, the present invention should not be construed as being limited by the above-described embodiments, and various modifications and changes can be made without departing from the scope of the claims.

1: simulation system, 2: measurement device, 3: simulation device, 4: filtering unit, 5: simulation unit, 6: calculation unit, 7: control unit, 8: display unit, 9: database, 21: imaging device, 23 : Three-dimensional image measurement processing device, 24: Golfer, 25: Golf club, 26: Grip, 27: Shaft, 28: Head, 29: Mounting member, M1, M2, M3: Marker

Claims (7)

A swing simulation system using a golf club by a golfer,
A measuring device for measuring the swing;
The swing measurement data measured by the measurement device is filtered using a low-pass filter, and based on the filtered measurement data, the simulation device that simulates the swing , and
The cut-off frequency Z of the low-pass filter is
Z = k · (1 / X) 3 ≦ k ≦ 15
Meet, however
X: Time from start of downswing to impact (seconds)
k: Filter coefficient (constant)
Z: Cut-off frequency (Hz) of the low-pass filter
This is a swing simulation system. The swing simulation system according to claim 1, wherein the cutoff frequency Z is 30 Hz or less .   3. The simulation according to claim 1, wherein the simulation device inputs the measurement data into a golf club model having a grip portion and a shaft portion of the golf club as elastic bodies, and simulates the swing. 4. Swing simulation system.   4. The swing simulation system according to claim 1, wherein the measurement data is position information of at least three points that follow the golf club and are not on a straight line. 5.   The swing simulation system according to claim 1, wherein the measurement data is information acquired by a sensor attached to the golf club. A swing simulation device using a golf club by a golfer,
Filtering the swing measurement data using a low-pass filter;
Based on the filtered measurement data acquired from the filtering unit, the simulation unit that simulates the swing , and
The cut-off frequency Z of the low-pass filter is
Z = k · (1 / X) 3 ≦ k ≦ 15
Meet, however
X: Time from start of downswing to impact (seconds)
k: Filter coefficient (constant)
Z: Cut-off frequency (Hz) of the low-pass filter
A swing simulation apparatus characterized by the above. A swing simulation method using a golf club by a golfer,
A measuring step for measuring the swing;
A filtering step of filtering measurement data of the swing measured in the measurement step using a low-pass filter;
Based on the measurement data filtering processed, looking contains and a simulation step for simulating the swing,
The cut-off frequency Z of the low-pass filter is
Z = k · (1 / X) 3 ≦ k ≦ 15
Meet, however
X: Time from start of downswing to impact (seconds)
k: Filter coefficient (constant)
Z: Cut-off frequency (Hz) of the low-pass filter
A swing simulation method characterized by the above.

Images