JP2004267765A - Simulation method of golf club head - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide the simulation method of a golf club head hitting a golf ball, which can calculate an analytical result at short times compared with the conventional method and with high precision. <P>SOLUTION: A finite element model of a golf club head used for simulation divides a three-dimensional form model of the golf club head into two or more segmented parts by a virtual parting plane and generates two or more hexahedral solid elements along the virtual parting plane. Adjacent hexahedral solid elements are arranged side by side and are divided in a mesh by the hexahedral solid elements per every segmented part so that this vertex turns into a shared point of two or four hexahedral solid elements when the vertex as the common point with other the hexahedral solid elements among each vertex of the hexahedral solid elements is located on the surface of the above segmented parts, and this vertex turns into the shared point of eight hexahedral solid elements when it is located within the above segmented parts. <P>COPYRIGHT: (C)2004,JPO&NCIPI

Description

  The present invention relates to a golf club head simulation method for reproducing the behavior of a golf club head when a golf ball is hit.

In recent years, in a metal hollow golf club head, in addition to using a titanium alloy or the like as a striking surface for striking a golf ball, by reducing the thickness of the face portion of the golf club head that forms the striking surface, or a golf club It is known that the coefficient of restitution of the golf club head can be improved by partially thinning the joint end portion of the face portion joined to the crown portion or sole portion of the head.
For example, in the case of a hollow golf club head in which a thin portion is formed on the inner peripheral edge of the hitting surface of the golf ball, the initial velocity of the golf ball to be launched is improved by promoting the elastic deflection of the hitting surface when the golf ball is hit. Thus, the coefficient of restitution of the golf club head can be increased, and the flight distance of the golf ball is improved.

  In order to efficiently design and develop products such as golf club heads, it is generally necessary for products to use a finite element model obtained by approximating the product with many finite elements. It is considered that a product having a desired characteristic can be efficiently developed and designed by simulating the characteristic. The same is true for golf club heads, and it is generally considered that a golf club head with adjusted characteristics such as a coefficient of restitution, a vibration frequency, a hitting sound, and durability when a golf ball is hit can be efficiently developed and designed. It has been. As described above, the coefficient of restitution can be improved by partially reducing the thickness in the vicinity of the joint end of the face portion of the golf club head, but at the same time, the golf club head tends to decrease due to the thinning. In order to ensure durability, it is desired to actively perform stress analysis using a finite element model.

FIG. 10 is a perspective view of an example of a finite element model obtained by approximating a golf club head using finite elements.
A finite element model 100 of a golf club head shown in FIG. 10 is a three-dimensional structure in which a three-dimensional model representing a contour shape created from a golf club head is mesh-divided and each surface is formed of tetrahedral solid elements that form a triangle. It is a finite element model. In FIG. 10, a triangular shape that is one surface of a tetrahedral solid element is shown on the surface of the finite element model 100.
In this way, by configuring the finite element model 100 with tetrahedral solid elements, the model can be freely reproduced regardless of the shape of any golf club head having a curved surface.

On the other hand, in Patent Document 1 below, a finite element model of a golf club head is shown in FIG. 8E of Patent Document 1, and an analysis example in which the finite element model of a golf club head is used for stress analysis of a golf ball. (See FIG. 8 (e) and [0031] in the following patent document).
Japanese Patent Laid-Open No. 2002-52096

However, when the simulation is performed using the finite element model 100 shown in FIG. 10, the number of tetrahedral solid elements increases, and the calculation time becomes extremely long, for example, approximately 20 hours. Such a long calculation time has a problem in terms of development efficiency of the golf club head. Further, since the finite element model is divided into tetrahedral solid elements, the obtained analysis results, for example, the distribution of stress and strain acting on the golf club head at the time of hitting a golf ball are divided into elements by the tetrahedral solid elements. As a result, the stress distribution and the strain distribution have a jagged fluctuation distribution, and in some cases, a proper analysis result cannot be obtained.
On the other hand, even in the finite element model of the golf club head disclosed in Patent Document 1, there is a problem that the analysis result of the golf club head may not be obtained with high accuracy due to the influence of element division by the finite element. .

  Furthermore, a hollow golf club head surrounded by the face portion, crown portion, side portion and sole portion of the golf club head and formed with a hollow portion can use a shell element instead of the tetrahedral solid element. When shell elements are used, it is difficult to model extremely thick parts with high accuracy, and the thickness changes abruptly as in the case of partial thickness distribution such as thin or thick parts. There was a problem that the analysis result could not be obtained and a highly accurate analysis result could not be obtained.

  Accordingly, in order to solve the above problems, the present invention is a simulation method for hitting a golf ball of a golf club head, which calculates an analysis result by simulation in a shorter time than before and calculates with high accuracy. An object of the present invention is to provide a golf club head simulation method that can be used.

  In order to achieve the above object, the present invention is a golf club head simulation method that reproduces the behavior of a golf club head at the time of hitting a golf ball, and creates a three-dimensional model that reproduces the contour shape of the golf club head. Dividing the three-dimensional shape model into a plurality of parts by at least one virtual dividing surface intersecting with the created three-dimensional shape model, and dividing the three-dimensional shape model into meshes for each of the divided parts, thereby obtaining a hexahedral solid A plurality of elements are generated along the virtual dividing plane, and among the vertices of the hexahedral solid element located on the surface of each divided portion of the three-dimensional shape model, the element becomes a common point with other hexahedral solid elements The vertices are shared points of two or four hexahedral solid elements, and the solid shape model Adjacent hexahedral solid elements are adjacent so that the vertices that are shared points with the other hexahedral solid elements located inside each part are shared points of the eight hexahedral solid elements. A step of creating a finite element model of a golf club head by meshing the divided portion of the three-dimensional shape model with a hexahedral solid element, and hitting a golf ball of the golf club head using the created finite element model And a simulation method of a golf club head characterized by comprising:

  The virtual dividing plane preferably includes at least a virtual plane that is parallel to the golf ball striking direction and substantially perpendicular to the corresponding face of the face surface in the three-dimensional model.

Here, the finite element model of the golf club head is a finite element model of a hollow golf club head in which a hollow portion is formed by being surrounded by a face portion, a crown portion, a side portion, and a sole portion of the golf club head.
In addition, the finite element model of the golf club head is a finite element model of a golf club head having a thin portion whose thickness is partially reduced in at least one of the face portion, the crown portion, the side portion, and the sole portion. In the element model, a portion corresponding to the thin portion in the finite element model preferably has a configuration in which at least three or more hexahedral solid elements are stacked in the thickness direction.
Further, it is preferable that a portion corresponding to the face portion in the finite element model of the golf club head has a configuration in which at least three or more hexahedral solid elements are stacked in the thickness direction.

  The simulation is preferably a simulation based on at least one of stress analysis, vibration analysis, acoustic analysis, and fluid analysis when the golf ball is hit. That is, the simulation is preferably one of these analyzes or a combination of a plurality of analyses.

  The golf club head simulation method of the present invention can calculate an analysis result by simulation in a shorter time than the conventional method, and can obtain a highly accurate analysis result.

  Hereinafter, a simulation method for a golf club head according to the present invention will be described in detail based on a preferred embodiment shown in the accompanying drawings.

FIG. 1 is a block diagram showing a configuration of a simulation apparatus (hereinafter referred to as an apparatus) 10 for carrying out the golf club head simulation method of the present invention.
The apparatus 10 is characterized in the present invention by creating a three-dimensional model that reproduces the contour shape of a golf club head and performing a three-dimensional CAD on a three-dimensional model creating unit 12 and meshing the created three-dimensional model. Reproducing a hit with a predetermined golf ball finite element model using the mesh dividing unit 14 and the data creating unit 16 that create a finite element model of the golf club head and the created finite element model, A CPU for calculating a predetermined characteristic physical quantity and outputting the result as an analysis result; and in addition to this, a CPU for controlling the operation and processing of each part to manage the operation of each part (Central processing unit) 20 and a memory 22 that stores and holds the results calculated in each part. A monitor 24 is connected to the apparatus 10.
The device 10 may be configured by a computer in which each part functions by executing a program, or may be a dedicated device in which each part is configured by a dedicated circuit.

  The device 10 sets the three-dimensional CAD data by, for example, inputting golf club head shape data from an input operation system such as a mouse or a keyboard (not shown) in accordance with instructions on the input instruction screen displayed on the monitor 24. Thereby, the three-dimensional shape model creating unit 12 creates a three-dimensional shape model. Thereafter, the mesh dividing unit 14 generates a hexahedral mesh for the generated three-dimensional shape model, and the data generation unit 16 generates a finite element model composed of hexahedral solid elements based on the generated mesh. The analysis calculation unit 18 performs a simulation calculation that reproduces the behavior of the golf club head at the time of hitting a golf ball using the created finite element model, and outputs a predetermined characteristic physical quantity calculated by this calculation as an analysis result.

  FIG. 2 is a flowchart showing the flow of an example of the golf club head simulation method of the present invention. Hereinafter, the golf club head simulation method of the present invention will be described in detail with reference to this flowchart.

First, a three-dimensional shape model is created (step S50).
Specifically, golf club head shape data is instructed and input as three-dimensional CAD data from an input operation system such as a mouse or a keyboard (not shown) in accordance with instructions on the input instruction screen displayed on the monitor 24. Based on the data, a three-dimensional model representing the contour shape of the golf club head in three dimensions is created. FIG. 3 shows an example of a three-dimensional model of a hollow golf club head in which a hollow portion is formed by being surrounded by a face portion, a crown portion, a side portion, and a sole portion, and the face portion, crown portion, and side portion of the golf club head. Then, a three-dimensional model 30 representing the contour shapes of the sole portion and the neck portion in three dimensions is created.

Next, hexahedral mesh generation is automatically performed on the solid shape model (step S52), and a plurality of adjacent hexahedral solid elements are created.
The three-dimensional shape model 30 shown in FIG. 3 will be described as an example. Each divided portion of the cut three-dimensional shape model 30 when the three-dimensional shape model 30 is cut on the virtual plane B shown in FIG. ), A hexahedral mesh is generated by the equal division of the opposite side. The virtual plane B is a plane that is virtually provided parallel to the direction A, which is the golf ball hitting direction by the golf club, and substantially perpendicular to the corresponding surface 32 of the three-dimensional model 30 corresponding to the face surface of the golf club head. is there.
That is, by dividing the solid shape model 30 by mesh generation by hexahedral mesh generation, a plurality of hexahedral solid elements are adjacent along the virtual plane B so that the virtual plane B and one surface of the hexahedral solid element are in contact with each other. Of the vertices of the hexahedral solid elements located on the respective partial surfaces of the three-dimensional shape model 30, the vertices that are common points with other hexahedral solid elements are shared by two or four hexahedral solid elements. The vertices that become points and share points with other hexahedral solid elements located inside each part of the three-dimensional shape model 30 are shared points of eight hexahedral solid elements. Adjacent hexahedral solid elements are adjacent to each other and mesh-divided into portions to divide the entire solid shape model 30 into meshes.

FIG. 5A shows a first embodiment of the opposite side equal division in the three-dimensional shape model 30 when the three-dimensional shape model 30 of the hollow golf club head is cut along the virtual plane B (hereinafter, the first opposite-side equal division method). It is a figure explaining the hexahedral mesh division | segmentation by suppose.
As shown in FIG. 5 (a), in the first opposite side equal division method, the three-dimensional model 30 of the hollow golf club head is represented by C ₁ (crown portion), C ₂ (side portion), C ₃ (sole portion) and Like C ₄ (face part), the face of the hexahedron element constituting the outer surface side surface of the three-dimensional model 30 of the golf club head is divided into four parts and opposite sides are set in each part. The solid shape model is divided into equal sides so as to be composed of different hexahedral elements, and a mesh is generated.
When cutting along the virtual plane B and the edge x ₁ on the outer surface side of the portion C ₁ corresponding to the crown portion in the three-dimensional model 30 and the edge y ₁ on the inner surface side (the hollow portion side) are opposite sides, this case The opposite side equal division means that the number of divisions of the edge x ₁ and the edge y ₁ is equal division, and in FIG. 5A, 11 divisions are made in the crown portion C ₁ .

FIG. 5B shows a plurality of 6 parts generated by equally dividing the opposite sides of the hollow golf club head corresponding to the face portion, crown portion, side portion, and sole portion by the first opposite side equal division method. FIG. 5 (c) is a diagram showing an array of faceted solid elements, and FIG. 5 (c) shows a plurality of hexahedral solid elements generated by equally dividing the part corresponding to the neck part by the first opposite side equally dividing method. It is the figure which showed an example of the arrangement | sequence of.
In this way, the hexahedral solid elements that are equally divided into opposite sides are arranged in an orderly manner, share one plane with the adjacent hexahedral solid elements on a one-to-one basis, and Among the vertices of the hexahedral solid element located on the surface of each of 30 parts, the vertices that are common points with other hexahedral solid elements are four hexahedral solid elements (vertex in FIG. 5B). Shared point of hexahedral solid elements E _{1 to} E _{4 in} the case of P ₁ or sharing of two hexahedral solid elements (in FIG. 5C, hexahedral solid elements E ₁₃ and E _{14 in} the case of vertex P ₃ in FIG. 5C) Configured to be a point. Further, among the vertices of the hexahedral solid element located inside each part of the three-dimensional model 30, the vertices that are common points with other hexahedral solid elements are eight hexahedral solid elements (FIG. 5). In (b), the vertex P ₂ is configured to be a common point of hexahedral solid elements E _{5 to} E ₁₂ ).
As shown in FIG. 5C, the cylindrical circumferential portion corresponding to the cylindrical neck portion is divided into four equal parts, such as regions F ₁ , G ₁ , H ₁ and I _1. The opposite sides are set in F ₁ and the region H ₁ , the opposite sides are set in the region G ₁ and the region I _1, and the opposite sides are equally divided by the first opposite side equally dividing method.

FIG. 6A shows a second embodiment of the opposite-side equal division in the three-dimensional shape model 30 when the three-dimensional shape model 30 of the hollow golf club head is cut along the virtual plane B (hereinafter, the second opposite-side equal division method). It is a figure explaining the hexahedral mesh division | segmentation by suppose.
FIG. 6B shows a hexahedron formed by a second equilateral division method when a solid golf club head solid body model 40 such as an iron golf club head is cut along a virtual plane similar to the virtual plane B. It is a figure explaining mesh division.

As shown in FIG. 6 (a), in the second opposite side equally dividing method, as in C ₅ (crown portion), C ₆ (face portion), C ₇ (side portion) and C ₈ (sole portion), The solid shape model 30 is divided into four parts, opposite sides are set in each part, and a mesh is generated by equally dividing the opposite side for each part.
In the second equal side division method, the outer surface side surface of the three-dimensional shape model 30 is formed at the corner portion of the three-dimensional shape model 30 (the portion indicated by K _{1 to} K ₄ in FIG. 6A). The opposite sides are equally divided at each portion so that the two faces of the hexahedral finite element are constituted by two adjacent faces of the same hexahedral finite element.
In FIG. 6B, the head body portion 42 in the three-dimensional shape model 40 is divided into twelve edges α and β that are opposite sides. Similar to the case shown in this case also FIG. 5 (a), in the corner portion (the portion shown in the figure K ₅ ~K _9), 6 facepiece finite constituting the surface of the outer surface side of the three-dimensional shape model 40 of a golf club head The two sides of the element are divided by equal sides in each of the divided parts so that the two sides of the same hexahedral finite element are adjacent to each other.

FIG. 6C shows a plurality of parts generated by dividing each part corresponding to the face part, the crown part, the side part, and the sole part in the hollow golf club head into equal sides by the second opposite side division method. 6 is a diagram illustrating an example of an arrangement of tetrahedral solid element, FIG. 6 (d) is an enlarged view showing the vicinity of a point P ₅ shown in FIG. 6 (c). FIG. 6E is a diagram showing an example of an array of a plurality of hexahedral solid elements generated by dividing the portion corresponding to the neck portion into the opposite sides by the second opposite side division method. is there.
Thus, also in the second opposite side equal division method, the hexahedron solid elements equally divided into opposite sides are arranged in rows in an orderly manner as in the first opposite side equal division method, and adjacent hexahedron solid elements are arranged. And share one plane with each other.

In the second equilateral division method, among the vertices of the hexahedral solid element located on the surface of each part of the three-dimensional shape model 30, there are four vertices that are common points with other hexahedral solid elements. tetrahedral solid elements share point (FIG. 6 (in the case of vertex _{P 4} in c) hexahedral solid element _E 15 _{to E 18)} or two hexahedral solid element, (FIG. 6 (c) and 6 (d) in for the _{P 5} hexahedral solid element _{E 19} and _{E 20,} in FIG. 6 (e), the configured such that the common point when a hexahedral solid element _{E 21} and _{E 22)} of the vertex P6.
Here, as shown in FIG. 6D, the point P ₅ is a hexahedral finite element E ₁₉ having two adjacent faces S ₁ and S ₂ that constitute the outer surface of the three-dimensional model 30. And a common point with the hexahedron finite element E ₂₀ having two adjacent surfaces S ₃ and S ₄ constituting the surface on the outer surface side of the three-dimensional model 30. In the second equilateral division method, the vertices that are shared with the other hexahedral solid elements among the vertices of the hexahedral solid elements located on the surfaces of the respective parts of the solid shape model 30 are 2 There is a vertex that is a common point of the six hexahedral finite elements.
Further, among the vertices of the hexahedral solid element located inside each part of the three-dimensional model 30, vertices that are common points with other hexahedral solid elements are eight hexahedral solid elements (FIG. 6). In (c), the vertex P ₇ is configured to be a common point of the hexahedral solid elements E _{23 to} E ₃₀ ).

Similarly to the first embodiment, a cylindrical circumferential portion corresponding to the cylindrical neck portion as shown in FIG. 6E is a circle like regions F ₂ , G ₂ , H ₂ and I _2. The peripheral portion is divided into four equal parts, the opposite sides are set in the region F ₂ and the region H _2, and the opposite sides are set in the region G ₂ and the region I ₂ , so that the opposite sides are equally divided.
In the present invention, mesh division is performed by dividing the three-dimensional model 30 and the three-dimensional model 40 into a plurality of parts in this way and dividing each part into opposite sides.

  In this way, the three-dimensional model 30 is divided into a face part, a crown part, a side part, a sole part, a neck part, etc., and the three-dimensional model 40 is divided into a head main body part and a neck part. The opposite sides are equally divided at each divided portion. Also in the connection surfaces of the divided portions, adjacent hexahedral solid elements share a surface one-to-one with each other.

5A and 6A, the portion corresponding to the face portion in the finite element model of the hollow golf club head overlaps at least three hexahedral solid elements in the thickness direction. The configuration is such that three are stacked in FIGS. 5 (a) and 6 (a). This is because the face portion hits the golf ball and the face portion requires a highly accurate analysis result.
Further, in the case of a golf club head having a thin-walled portion whose thickness is partly abruptly reduced in at least one of the face portion, crown portion, side portion, and sole portion of the hollow golf club head, FIG. Although the thin portion is also reproduced in the three-dimensional model as in the regions R ₁ and R ₂ shown in FIG. 6A, at least three or more regions R ₁ and R ₂ corresponding to the thin portions are in the thickness direction. The hexahedron solid elements are stacked.
In this way, since at least three hexahedral solid elements are stacked in the thickness direction (a configuration in which three hexahedral solid elements are stacked in FIGS. 5A and 6A), the thickness is determined in a simulation calculation described later. The direction can be analyzed with high accuracy, and a sudden change in the thickness can be dealt with.

Next, as a result of the hexahedral mesh generation, it is determined whether or not the entire solid shape model is composed of hexahedral solid elements (step S54).
The determination is made based on whether or not all the regions surrounded by the dividing lines by the generated mesh have four vertices. If the result of determination is negative, the three-dimensional model is corrected (step S55). Specifically, the three-dimensional CAD data is corrected in response to an instruction input by the operator's operation system, the three-dimensional model is corrected, and a hexahedral mesh is generated again.

If it is confirmed that the three-dimensional shape model is composed of hexahedral solid elements (Yes in step S54), it is checked whether the shape of the generated hexahedral solid elements is extremely distorted. (Step S56). The distorted shape means that the interior angle of each tetragonal surface of the hexahedral solid element is examined, and the interior angle is outside the predetermined angle range. This is because in the finite element analysis described later, the volume of the hexahedral solid element is suppressed from becoming negative in the calculation process, and an accurate simulation calculation is realized.
If there is an extremely distorted hexahedral solid element, the process proceeds to step S55, and after the solid shape model is corrected, a hexahedral mesh is generated again.
In the present invention, in addition to the modification of the three-dimensional shape model (step S55), the method of dividing the three-dimensional shape model in performing mesh division and the number of divisions in the equal side division may be modified.
If it is determined that there is no extremely distorted hexahedral solid element, the process proceeds to step S58.

Next, a finite element model is created (step S58).
The position information of the nodes corresponding to the vertices of each hexahedral solid element created by mesh generation and the geometrical shape information of the hexahedral solid element are set, and further, the material constant of the hexahedral solid element that has been designated and input is set. Thus, finite element model data is created and becomes a computable finite element model. That is, in the finite element model, a coordinate value of each node and a set of numbers (geometric information) defining the shape of each finite element by numbering each node are obtained from the mesh generation result, The numerical data of the material constants of the constituent members represented by the respective hexahedral solid elements are input from an operation system (not shown) and written to one file. The created finite element model file is stored in the memory 22 or the like.
FIG. 7 shows a perspective view of an example of a finite element model of a hollow golf club head created by the above-described second equal side division method.

Next, a simulation calculation by a finite element method that reproduces the behavior of the golf club head at the time of hitting the golf ball is performed using the created finite element model (step S60).
The behavior of the golf club head includes vibration characteristics, acoustic characteristics, aerodynamic characteristics, and the like of the golf club head in addition to various distributions and deformations of the stress, strain, strain energy, and the like of the golf club head. That is, the simulation calculation of the present invention is based on at least one of stress analysis, vibration analysis, acoustic analysis, and fluid analysis.

For example, in the case of stress analysis for obtaining various distributions and deformations such as stress, strain, strain energy and the like of the golf club head, the golf club created in step S58 with respect to a finite element model of a golf ball that has been created in advance and is stationary. The finite element model of the head is moved and collided, and the distribution and deformation of stress, strain, and strain energy in the finite element model of the golf club head that changes every moment are obtained. FIG. 8 shows the deformation of the finite element model of the golf club head when hitting the finite element model of the golf ball as a wire frame subjected to hidden line processing.
The vibration analysis analyzes, for example, vibration on the face surface, and the acoustic analysis analyzes, for example, impact sound radiated from the face surface and cavity resonance of the hollow portion of the hollow golf club head. In the fluid analysis, the air resistance between the golf club head and the air is analyzed.
For such analysis, a known finite element analysis solver may be used.

Next, an analysis result is output (step S62).
As the analysis result, a predetermined characteristic physical quantity (stress, strain, strain energy, natural frequency, frequency spectrum, sound pressure fluctuation, etc.) of the target portion set in advance is output as the analysis result.
FIG. 9A shows an example of an analysis result of stress distribution (miss stress) in the crown portion and the face portion of the golf club head using a finite element model of the golf club head made of hexahedral solid elements. b) shows an example of an analysis result of stress distribution (Miss stress) using a finite element model composed of tetrahedral solid elements created from the same three-dimensional shape model.
Apparently, in the case of the tetrahedral solid element shown in FIG. 9B, it can be seen that the stress distribution shows a jagged variation distribution under the influence of element division, but the hexahedron shown in FIG. In the case of a solid element, it can be seen that it is not affected by element division by a hexahedral solid element. As described above, the analysis result example shown in FIG. 9A is easy to understand for consumers who purchase golf clubs, and can be effectively used as sales promotion materials.

In addition, the number of elements of the hexahedral solid element of the finite element model of the golf club head shown in FIG. 9A is 7218, the number of nodes is 10708, and the finite element model of the golf club head shown in FIG. 9B. The number of elements of the tetrahedral solid element is 33570 and the number of nodes is 11033.
The time required for the simulation calculation is 3.5 hours for the golf club head shown in FIG. 9A, 20.5 hours for the golf club head shown in FIG. 9B, and a hexahedral solid. It was found that the finite element model using elements outputs highly accurate analysis results in a short time. This is obtained when performing the simulation calculation because the hexahedron solid elements are arranged in an orderly manner as shown in FIGS. This is because minimization of the stable time increment (time increment satisfying the Courant condition) can be avoided, and the time for calculating stress, strain and the like from the calculation result can be shortened.
In addition, since the finite element model uses hexahedral solid elements divided into opposite sides, for example, the strain distribution along the striking direction of the crown portion passing through a certain specific position, or along the thickness direction at a certain specific position. A distribution related to a specific position such as a strain distribution can be accurately obtained.

  Although the golf club head simulation method of the present invention has been described in detail above, the present invention is not limited to the above embodiments, and various improvements and modifications may be made without departing from the spirit of the present invention. Of course.

It is a block diagram which shows the structure of the simulation apparatus which implements the simulation method of the golf club head of this invention. It is a flowchart which shows the flow of an example of the simulation method of the golf club head of this invention. It is a perspective view of an example of the three-dimensional model in the golf club head simulation method of the present invention. It is a figure explaining an example of the mesh division | segmentation in the simulation method of the golf club head of this invention. (A)-(c) is a figure explaining arrangement | positioning of the hexahedral solid element produced | generated by the 1st opposite side equal division | segmentation method in the simulation method of the golf club head of this invention. (A)-(e) is a figure explaining arrangement | positioning of the hexahedral solid element produced | generated by the 2nd opposite side equal division | segmentation method in the simulation method of the golf club head of this invention. It is a perspective view of an example of a finite element model of a golf club head obtained by the golf club head simulation method of the present invention. It is a figure explaining an example of the simulation result in the simulation method of the golf club head of the present invention. (A) is a figure which shows an example of the analysis result obtained by the simulation method of the golf club head of this invention, (b) is a figure which shows an example of the analysis result obtained from the finite element model by the conventional tetrahedral solid element It is. It is a perspective view of an example of the finite element model which approximated the golf club head using the finite element which consists of a tetrahedral solid element.

Explanation of symbols

DESCRIPTION OF SYMBOLS 10 Simulation apparatus 12 Three-dimensional shape model preparation part 14 Mesh division part 16 Data preparation part 18 Analysis calculation part 20 Central processing unit 22 Memory 24 Monitor 30,40 Three-dimensional shape model 32 Corresponding surface 42 Head main body part

Claims (6)

A method for simulating a golf club head that reproduces the behavior of the golf club head when hitting a golf ball, the step of creating a three-dimensional model that reproduces the contour shape of the golf club head;
By dividing the solid shape model into a plurality of parts by at least one virtual dividing surface that intersects the created solid shape model, and dividing the solid shape model into mesh parts for each of the divided parts, the hexahedral solid element is Among the vertices of the hexahedral solid elements that are generated along the virtual dividing plane and are located on the surface of each of the divided portions of the three-dimensional shape model, vertices that are shared points with other hexahedral solid elements are: Any of the vertices serving as a common point for two or four hexahedral solid elements and a common point with the other hexahedral solid element located inside each of the divided portions of the three-dimensional shape model Adjacent hexahedral solid elements are adjacent to each other so as to be a common point of eight hexahedral solid elements. The entire three-dimensional shape model by mesh division by dividing the steps of creating a finite element model of the golf club head,
And a step of simulating a golf ball hitting the golf club head using the created finite element model.   2. The golf club head simulation according to claim 1, wherein the virtual dividing plane includes at least a virtual plane that is parallel to a golf ball striking direction and substantially perpendicular to a corresponding face of the face in the three-dimensional model. Method.   The finite element model of the golf club head is a finite element model of a hollow golf club head in which a hollow portion is formed by being surrounded by a face portion, a crown portion, a side portion, and a sole portion of the golf club head. A golf club head simulation method according to claim 1. The finite element model of the golf club head includes a finite element model of a golf club head having a thin portion whose thickness is partially reduced in at least one of the face portion, the crown portion, the side portion, and the sole portion. Because
The golf club head simulation method according to claim 3, wherein a portion corresponding to the thin portion in the finite element model has a configuration in which at least three hexahedral solid elements are stacked in a thickness direction.   5. The golf club head according to claim 2, wherein a portion corresponding to the face portion in the finite element model of the golf club head has a configuration in which at least three or more hexahedral solid elements are stacked in a thickness direction. Simulation method.   6. The golf club head simulation method according to claim 1, wherein the simulation is a simulation based on at least one of stress analysis, vibration analysis, acoustic analysis, and fluid analysis at the time of hitting the golf ball.

Images