JP2007025761A - Design method of golf club head and golf club head - Google Patents

Design method of golf club head and golf club head Download PDF

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Publication number
JP2007025761A
JP2007025761A JP2005202727A JP2005202727A JP2007025761A JP 2007025761 A JP2007025761 A JP 2007025761A JP 2005202727 A JP2005202727 A JP 2005202727A JP 2005202727 A JP2005202727 A JP 2005202727A JP 2007025761 A JP2007025761 A JP 2007025761A
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Japan
Prior art keywords
club head
reinforcing rib
golf club
face
less
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JP2005202727A
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Japanese (ja)
Inventor
Masayoshi Nishio
Masaya Tsunoda
公良 西尾
昌也 角田
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Sri Sports Ltd
Sriスポーツ株式会社
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Priority to JP2005202727A priority Critical patent/JP2007025761A/en
Publication of JP2007025761A publication Critical patent/JP2007025761A/en
Application status is Pending legal-status Critical

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    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B53/00Golf clubs
    • A63B53/04Heads
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B53/00Golf clubs
    • A63B53/04Heads
    • A63B53/0466Heads wood-type
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B60/00Details or accessories of golf clubs, bats, rackets or the like
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5009Computer-aided design using simulation
    • G06F17/5018Computer-aided design using simulation using finite difference methods or finite element methods
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B53/00Golf clubs
    • A63B53/04Heads
    • A63B2053/0408Heads with defined dimensions
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B53/00Golf clubs
    • A63B53/04Heads
    • A63B2053/0416Heads with an impact surface provided by a face insert
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B53/00Golf clubs
    • A63B53/04Heads
    • A63B2053/045Strengthening ribs
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B53/00Golf clubs
    • A63B53/04Heads
    • A63B2053/045Strengthening ribs
    • A63B2053/0454Strengthening ribs on the rear surface of the impact face plate
    • AHUMAN NECESSITIES
    • A63SPORTS; GAMES; AMUSEMENTS
    • A63BAPPARATUS FOR PHYSICAL TRAINING, GYMNASTICS, SWIMMING, CLIMBING, OR FENCING; BALL GAMES; TRAINING EQUIPMENT
    • A63B53/00Golf clubs
    • A63B53/04Heads
    • A63B2053/0458Heads with non-uniform thickness of the impact face plate

Abstract

PROBLEM TO BE SOLVED: To efficiently design a golf club head excellent in resilience characteristics while maintaining sufficient strength using a computer.
A method for designing a golf club head using a computer, in which a golf club head with a back surface reinforced with a reinforcing rib and a finite element model obtained by modeling a golf ball are used, and the golf ball is placed at any position. By adjusting the conditions including the shape including the position, cross-sectional area, and height of the reinforcing rib so that the stress is less than 1.3 times the stress generated in the face center even when hit, by making the stress uniform Expand the sweet area.
[Selection] Figure 1

Description

  The present invention relates to a golf club head design method using a computer and a golf club head, and in particular, a wood type golf club head provided with a reinforcing rib on the back surface of a face portion and a finite element model modeling a golf ball. The stress generated when the ball model collides with the head model is calculated, the simulation is performed by changing the condition of the reinforcing rib, and the stress generated even if it collides with any position of the face part is made uniform. A golf club head excellent in resilience characteristics while maintaining sufficient strength is efficiently designed.

Usually, a metal plate is disposed on the face portion of the wood-type head of a golf club. In such a wood-type head, in order to improve the rebound characteristics at the time of hitting a golf ball, the thickness of the metal plate of the face part is made thinner by impedance matching theory, and the natural frequency of the face part is set to the natural characteristic of the golf ball. It is recognized that it is effective to approach the frequency.
Therefore, in recent years, the face portion tends to be thin. However, thinning also causes a decrease in strength. Thus, as a method for reducing the thickness of the face portion and simultaneously increasing the face strength, a method of providing reinforcing ribs on the back surface of the face is known.

For example, in the golf club head disclosed in Japanese Patent Application Laid-Open No. 2003-290396 (Patent Document 1), a plurality of reinforcing ribs extending in the vertical direction are provided on the back face side of the face, and the height of the reinforcing ribs is reinforced on the toe side and heel side. The height distribution of the individual reinforcing ribs is set to be lower in the longitudinal direction or higher in the lower direction (closer to the sole).

  However, in the golf club head of Patent Document 1, since all the reinforcing ribs extend in the vertical direction, the rigidity of the face is excessive due to the reinforcing ribs extending in the vertical direction on the toe side and the heel side of the face. There is a problem that the vibration is not restrained excessively and the resilience performance is not sufficient. In addition, the reinforcing effect of the face strength is not sufficient for a large volume of reinforcing ribs (weight of reinforcing ribs).

  When designing a golf club head, it is desirable to maximize the rebound characteristics while ensuring strength, but the conventional design relies heavily on experience and intuition, and requires extensive trial and error studies. For this reason, time is required for the design, and variations in the design guidelines may be seen. Therefore, a design method for efficiently designing a golf club head excellent in various physical properties such as resilience performance and strength has been proposed.

For example, the applicant of the present invention disclosed in Japanese Patent Application Laid-Open No. 9-149953 (Patent Document 2) measured a three-dimensional shape of a golf club head with a three-dimensional shape measuring machine, and based on the three-dimensional shape measurement data, a structural analysis was performed. A finite element method (FEM) model is created using a pre-program for the above, and the principal axis and moment of inertia are calculated using commercially available analysis software using this FEM model, which is useful for designing golf club heads. Yes.
However, in the above design method, the principal axis of inertia and the moment of inertia of the initial shape of the head are calculated and used for the design. However, there is still room for improvement in order to achieve both rebound characteristics and strength.

JP 2003-290396 A Japanese Patent Laid-Open No. 9-149954

  The present invention has been made in view of the above-described problems, and in the golf club head in which the back surface of the face portion is reinforced with the reinforcing rib, a finite element model in which the golf club head and the golf ball are modeled is used. Thus, it is an object to efficiently design a golf club head having excellent rebound characteristics while maintaining sufficient strength by making the stress generated in the face portion uniform even when the golf ball is hit.

In order to solve the above problems, the present invention first provides a golf club head design method using a computer. In this design method, a golf club head and a golf ball having a central reinforcing rib at the center of the back surface of the face portion and a plurality of belt-shaped reinforcing ribs extending radially from the central reinforcing rib to the peripheral side are combined into a finite element. A club head model and a ball model divided into two, and a ball model is made to collide with the face surface of the club head model to obtain Mises stress generated at the collision position;
By changing the setting condition of the reinforcing rib composed of the central reinforcing rib and the belt-shaped reinforcing rib, the maximum value of the Mises stress when the off-center of the face surface is the collision position is the Mises stress when the center is the collision position. The golf club head is designed to be less than 1.3 times the maximum value.

As described above, in the present invention, the golf club head model and the golf ball model divided into finite elements are used to input the conditions including the shape including the position, the cross-sectional area, and the height of the reinforcing rib to the computer, and hit simulation It is carried out. The objective function is to approximate the stress generated at the collision at an off-center position to the stress at the center, and the position, cross-sectional area, and height of the reinforcing rib are design variables. The maximum Mises stress that occurs when hitting in position is compared.
According to this comparison, even if the golf ball collides with any position on the face surface, the maximum value of the Mises stress generated is less than 1.3 times the Mises stress when the face center is the hitting position. Conditions including the shape including the position, cross-sectional area, and height of the reinforcing rib are set.

As described above, the reinforcing rib provided on the back surface of the face portion is a central reinforcing rib and a plurality of belt-shaped reinforcing ribs extending from the central reinforcing rib to the peripheral side, thereby increasing the rigidity of the face center that receives the most impact. In addition, since the reinforcing ribs are provided radially from the central portion toward the peripheral side, the stress acting on the face can be more evenly distributed without excessively increasing the rigidity of the face portion. by.
In addition, by setting it to less than 1.3 times the maximum value of the Mises stress at any off-center position relative to the Mises stress when the center is the collision position, the collision at the center serving as the sweet area The resilience performance closer to can be obtained.
The upper limit is less than 1.3 times, but it is preferable to approximate it to 1 time, and the lower limit is desirably 1 or more.

  As described above, in the present invention, since the calculation is performed based on the stress value calculated by the finite element method, the design can be performed very easily without going through a process such as trial manufacture of the actual product or actual measurement of the stress value. Further, since the computer is used, the shape and material can be changed only by changing the input data, and the design of the face portion of the head with various patterns can be easily performed in the virtual space by the computer.

  Specifically, the club head model is a wood-type club head model, and the shape including the position, cross-sectional area, and height of the reinforcing rib provided on the back surface of the metal plate that forms the face portion is controlled, and When the Mises stress at the center collision position exceeds 1.3 times, the cross-sectional area or / and the height of the reinforcing rib on the back surface side of the collision position is increased and less than 1.0. Is the cross-sectional area or / and the height of the reinforcing rib on the back side of the off-center collision position.

The plurality of strip-shaped reinforcing ribs on the back surface of the face portion are four or more and ten or less reinforcing ribs extending from the center portion of the back surface of the face to the peripheral portion.
The number of the belt-like reinforcing ribs is set to 4 or more and 10 or less. If the number is less than 4, the region without the belt-like reinforcing ribs becomes wide, and the region becomes insufficient in strength. On the other hand, when the number is more than 10, the face rigidity becomes too high, the vibration of the face is excessively restrained, the resilience performance is lowered, and the effect of the reinforcing rib is lost.

The Mises stress generated in each element at the time of collision of the ball model with the club head model is obtained from the principal stress value at the integration point of each element, and from the time series change of the obtained Mises stress, the maximum value of Mises stress at each collision position Seeking. This Mises stress can be calculated by finite element method analysis, and one value is calculated for one element, which is optimal for determining whether or not a material is broken.
For example, the maximum value of Mises stress generated in the face portion when the ball model is collided with the Golab head model at an initial speed of 40 m / s is obtained. The initial speed of 40 m / s is a head speed that can be generated when a normal golfer hits a golf ball with a golf club having a wood-type head. By making the difference in the maximum value of Mises stress within the above range at an initial speed of 40 m / s, it is possible to equalize the stress of the entire face portion, and the strength of the face portion is sufficient even when striking at other head speeds Can be held.

It is preferable that the off-center collision positions other than the center position are the outer periphery surrounding the center, which is the geometric center of the face portion, and at least four positions on the top, bottom, left and right surrounding the center are the collision positions. More preferably, the part where the reinforcing rib is provided on the back surface and the part where the reinforcing rib is not provided between the reinforcing ribs are set as the collision positions.
The more collision positions for obtaining the Mises stress, the more accurate design can be performed, but the more collision positions, the longer the time required for calculation. If the off-center position close to the center position is set as the collision position, it is easy to obtain the same stress calculation result as the center. Therefore, it is preferable that the off-center collision positions are equally spaced from the center position.

The design method of the present invention can be suitably applied to wood-type heads of any shape such as a wood-type head having a hollow portion, such as # 1, # 2, # 3,. It is effective for designing the head of a wood club.
Even in the case of an iron type head, it is possible to adopt a design method using the computer of the present invention in order to approximate the stress outside the sweet area and the sweet area.

Since the shape of the face portion of the head is merely created by a computer, it can correspond to any shape, and can be a substantially flat plate having a flat surface and / or a curved surface. The material of the face portion may be various metals such as titanium or their alloys that are conventionally used. The material of the face part can be partially changed, and it is only necessary to input the physical property value of the material corresponding to the corresponding part of the material in the model.
The material of the golf ball used as a model can be a material that can be conventionally used for a golf ball, and can be a polymer composition using various rubbers, synthetic resins, and the like.

  The head model can be modeled with solid elements. The greater the number of elements in the head model, the higher the calculation accuracy. However, in consideration of design efficiency, the number of solids is preferably 60000-200000 when using tetrahedral solid elements. This range is in consideration of the capability of the computer at the present stage. As the capability of the computer improves in the future, the calculation time can be shortened and the number of elements can be increased. Further, the deformation shape of the head at the time of impact may be displayed from the node coordinate value of the node of each element. Thereby, the deformation shape at the time of impact can also be evaluated, and it is effective for head design.

In the present invention, when the golf club head model and the golf ball model are divided into finite elements, if the size of one side of each element cannot be made sufficiently small, a tetrahedral secondary element or a hexahedral element is used. It is preferable to use it. If one side of the element can be made sufficiently small, a tetrahedral primary element may be used.
In addition, when a tetrahedral element is used, the edge angle is set in a range of 20 ° to 120 °.
In the face portion, it is preferable to provide two or more layers in the thickness direction. When a tetrahedral secondary element is used, it is preferable that the length of one side is 1.0 mm or more and 3.0 mm or less, and the sizes are uniform.
When a tetrahedral primary element is used, the length of one side is half that of the secondary element, and if the element is made smaller, the accuracy is improved, but the calculation time is increased accordingly, etc. The length is preferably 0.5 mm or more and 1.25 mm or less.

Furthermore, the present invention provides the following three golf club heads.
The golf club head of the first aspect of the present invention comprises the golf club head designed by the first design method.
The second golf club head is not limited to the first design method, and may be designed by another design method. A central reinforcing rib provided in the central portion on the back surface of the face portion, and the central reinforcing rib. 4 to 10 or less belt-shaped reinforcing ribs extending radially toward the peripheral side, and against the Mises stress generated when the center position of the face surface is the collision position of the golf ball, other than the center position The golf club head is characterized in that the Miesel stress generated when the position is set to the collision position of the golf ball is set to less than 1.3 times.
The third golf club head is provided with a central reinforcing rib at the center on the back surface of the face and four or more and ten or fewer belt-shaped reinforcing ribs extending radially from the central reinforcing rib to the peripheral side. The ratio (W / t) of the thickness (height) t to the lateral width W of the reinforcing rib is 15 or more and less than 40, and the reinforcing rib stands at an angle of 100 degrees or more and 160 degrees or less with respect to the reference surface of the face back surface. It comprises a golf club head characterized by being provided.

In any of the golf club heads, the central portion of the back surface of the face portion is a region surrounding the center point of the geometric center (centroid), and the central reinforcing rib is a region where the belt-shaped reinforcing ribs merge. The shape of the central reinforcing rib is circular, oval, elliptical, or polygonal in cross section, the shape is variable depending on the extending direction of the reinforcing rib, and the sectional area of the central reinforcing rib is also generated. Variable by stress.
Further, the plurality of belt-like reinforcing ribs extending from the central reinforcing rib to the peripheral edge side may extend to the peripheral edge of the back face of the face, but it is not always necessary to extend to the peripheral edge. Further, the reinforcing rib extending to the peripheral side extends in a substantially straight shape with a required width, but may be partially bent or curved.

  Both the first and second golf club heads are generated when the golf ball collides with a position other than the center position against the Mises stress generated when the golf ball collides with the center position of the face surface. The mezel stress is set to be less than 1.3 times.

  As described above, in the third golf club head, the ratio between the height and the width of the belt-shaped reinforcing ribs of 4 to 10 that extend radially from the central reinforcing rib on the back surface of the face portion to the peripheral side is within a predetermined range. As a result, the rise angle of the reinforcing rib is set to a required range, and as a result, as with the first and second inventions, it is turned off against the Mises stress generated at the time of collision with the center position. The Miesel stress generated at the time of collision with the center is set to be less than 1.3 times.

In the third golf club head, the ratio (W / t) between the height t and the width W of each reinforcing rib is 15 or more and less than 40. Increases, stress concentration occurs, and stress is not equalized. On the other hand, when it is 40 or more, the reinforcing effect is reduced.
In addition, the reinforcing rib with respect to the reference surface on the back surface of the face has an erection angle of 100 degrees or more and 160 degrees or less. Yes, if it is 160 degrees or more, the reinforcing strength is insufficient.

  Any of the first to third golf club heads is preferably a wood-type head, the face portion is formed of a metal plate, and the reinforcing rib is provided on the back surface of the metal plate.

The area of the central reinforcing rib on the back surface side of the face portion is preferably 20% or more and 90% or less with respect to the total area of the back surface of the face portion.
This is because, if it is outside the above range, the Mises stress generated at the time of hitting at the off-center position cannot be made less than 1.3 with respect to the Mises stress generated at the time of hitting at the center position.

In the first to third golf club heads, the height of the reinforcing rib composed of the central reinforcing rib and the belt-shaped reinforcing rib is uniform in thickness obtained by adding the thickness of the face itself and the thickness of the reinforcing rib. Thus, it is preferable that the positions of the protruding end surfaces of the reinforcing ribs are the same.
Accordingly, there is a portion where the thickness of the reinforcing rib is large where the face thickness is small, and where the thickness of the reinforcing rib is small where the face thickness is large. Since the thickness of the face is often large at the center, the thickness of the reinforcing rib at the center is often small.

  The thickness of the face part itself made of the metal plate is preferably 0.5 mm or more and 3.5 mm or less. This is because if it is thinner than 0.5 mm, the reinforcing strength is insufficient, and if it exceeds 3.5 mm, the face rigidity is increased and the resilience performance is lowered.

The thickness of the central reinforcing rib is preferably 2.6 mm or more and 5.0 mm or less, and the area of the central reinforcing rib is preferably 10 mm 2 or more and 1000 mm 2 or less.
In this case, if the thickness of the central region is less than 2.6 mm, the face strength tends to be insufficient, and if it exceeds 5.0 mm, the face rigidity becomes too high and the resilience performance decreases. More preferably, they are 2 mm or more and 4 mm or less.

The cross-sectional area of the band-shaped reinforcing rib is preferably 2.0 mm 2 to 10 mm 2 , the width is 3 mm to 14 mm, and the height is 0.3 mm to 1.5 mm. In either case, if the value is less than the lower limit, the face strength tends to be insufficient and stress concentration tends to occur. If the value exceeds the upper limit, the face rigidity becomes too high and the resilience performance is lowered.

Further, a portion where the boundary lines of the adjacent band-shaped reinforcing ribs intersect is rounded, and a ratio (θ / R) of the radius of curvature R (mm) of the rounded band and the intersecting angle θ (degree) of these band-shaped reinforcing ribs Is preferably 3 or more and 50 or less. More preferably, it is 6 or more and 22 or less.
With the above setting, stress is not concentrated in the rounded portion that is the boundary between the adjacent band-shaped reinforcing ribs, and the durability can be improved.
Further, when the ratio (θ / R) of the angle θ (degree) between the belt-like reinforcing ribs is less than 3, the radius of curvature R increases with respect to the angle θ, and the thickness of the face portion increases excessively, resulting in repulsion. On the other hand, when the coefficient decreases, the radius of curvature R with respect to the angle θ decreases when the coefficient exceeds 50, stress is concentrated at the intersection, and durability tends to decrease.

  As described above, according to the design method of the present invention, first, a golf club head model and a golf ball model are used and simulated in a virtual space by a computer to include the position, cross-sectional area, and height of the reinforcing rib. By performing a hitting simulation by changing the shape, the maximum value of the Mises stress generated regardless of the position of the golf ball on the face surface is 1.3 of the Mises stress when the face center is the hitting position. It can be designed to be less than double. Thus, since it can design very easily, without going through processes, such as a trial manufacture of a real thing and the measurement of a stress value, since it calculates, the cost and time which a trial manufacture require can be reduced significantly.

  In addition, according to the golf club head manufactured based on the design method, or the second and third golf club heads, the stress generated even when hitting the golf ball is made uniform. At the same time, the sweet area can be expanded by approximating the Mises stress with the case of hitting at the center, and both rebound characteristics and strength can be ensured even when hitting off the center (off-center shot).

Embodiments of the present invention will be described below with reference to the drawings.
FIG. 1 shows a flowchart of a method for designing a golf club head. First, a schematic description will be given based on the flowchart.

First, in step # 1, a golf club head model and a golf ball model for finite element method (FEM) analysis are produced from CAD data. That is, a wood type golf club head model and a golf ball model divided into finite elements are produced. At that time, a central part on the back side of the face part of the golf club head model and a plurality of reinforcing ribs extending radially from the central part toward the peripheral side are provided, and the position, width, height, etc. of the reinforcing ribs are provided. The physical properties such as the dimensions and materials of the face part are specified.
In Step # 2, assuming a collision of the golf ball with the golf club head, hit the golf ball at the face center which is the geometric center of the face portion of the golf club head model and at any position other than the face center. And simulate.
In step # 3, the maximum Mises stress generated in each element on the face surface of the club head model at the time of the collision at each collision position is calculated by the finite element method (FEM).
In step # 4, the difference in the stress generation state of the face due to the difference in the striking position is evaluated.
In step # 5, if the maximum value of the Mises stress at an arbitrary position on the face surface is less than 1.3 times the Mises stress when the face center is set to the striking position, the design is completed, and the prototype is evaluated. In addition, Preferably, it is less than 1.2 times.
In step # 6, if the stress generation state is outside the specified range, the shape including the position, cross-sectional area, and height of the reinforcing rib of the element is changed according to the stress value, and the simulation is performed again. Control of the shape including the position, cross-sectional area, and height of the reinforcing rib and the simulation of hitting are repeated until the range is reached.

The above design method will be described in detail below.
First, a golf club head and golf ball having reinforcing ribs on the back surface of the face are modeled by a computer and initial conditions are set.

2A and 2B show a wood type golf club head model (hereinafter abbreviated as a head model) 1 used in the simulation. The head model 1 is a hollow type, and the face portion 2 has a substantially elliptical plate shape, and has a central portion and a plurality of reinforcing ribs extending from the central portion to the peripheral side of the face portion on the back surface. As a model.
The entire head model is divided into 64247 tetrahedral primary elements 1a, and a large number of nodes 3 are obtained. The average length of one side of the finite element is about 2.0 mm for the face part 2 and about the face part. The removed body portion is about 2.5 mm, and the face portion 2 is divided into 27412 elements and has two layers. The material is titanium, and is input as the material physical property of titanium.
The head model 1 has a volume of 420 cc and a weight of 191.0 g.

  FIG. 3 shows a golf ball model (hereinafter referred to as a ball model) 5 used in the simulation, and the whole is modeled by an elastic body of an 8-node solid element. The ball model 5 has an elastic modulus adjusted so that the static compression characteristics match with a commercially available “HI-BRID everio” (manufactured by Sumitomo Rubber Industries, Ltd.). In addition, the size and weight of the ball model 5 are set so as to match the “HI-BRID everio”. The ball model 5 is divided into 11800 hexahedral primary elements 5a to obtain a large number of nodes 5b, the length of one side of the finite element is about 0.2 mm to 2 mm, and the elastic properties and Poisson's ratio as material properties Is entered.

Next, using the head model 1 and the ball model 5, as shown in FIGS. 4A, 4B, and 4C, a simulation is performed assuming that a golf ball is hit by a golf club head.
That is, after the ball model 5 is arranged near the portion hit with the head model 1, an initial speed of 40 m / s is applied to the head model 1 to cause the ball model 5 to collide. The stress generated in each element of the face part 2 of the head model 1 at the time of collision is analyzed by the finite element method.
For example, FIG. 5 shows the stress generation state of a certain element at the time of impact, and the stress value generated with the passage of time (analysis step) changes every moment, and the stress is maximum at about the middle point of the contact time. It has become.

  After hitting with the head model 1, calculation is performed until the ball model 5 is completely separated from the head model 1. The friction at the time of contact between the head model 1 and the ball model 5 is set to 0.3 for both the dynamic friction coefficient and the static friction coefficient.

  In the present embodiment, the collision position is set to the face center position CEN and the off-center collision position at the periphery surrounding the center with the face center point being the geometric center position of the face surface 2a of the face portion 2 as a reference. The off-center collision position is 10 mm above the center position, 10 mm below, 20 mm toward the heel side, 20 mm toward the toe side, 20 mm toward the heel side, and 10 mm above the heel side diagonally below, and 20 mm below the heel side. There are a total of 8 positions: a 10 mm heel side diagonal position, a 20 mm toe side, a 10 mm toe side diagonally upper position, and a 10 mm toe side diagonally downward position.

A stress generated in each element of the face portion at the time of collision at the center position and the off-center position is calculated by a finite element method analysis.
Specifically, the Mises stress generated in each element at the time of collision at each collision position is obtained from the principal stress value at the integration point of each element of the face portion using the following mathematical formula 1. Here, σc is Mises stress, σ1 is maximum principal stress, σ2 is intermediate principal stress, and σ3 is minimum principal stress.

The maximum value of the Mises stress is obtained from the time series change of the Mises stress in each obtained element. The number of integration points in the thickness direction is 2, and the maximum value of Mises stress at all integration points is obtained. By such a method, the maximum value of Mises stress generated in the face portion is obtained for each hit at the five hit positions.
Conditions that include the shape including the position, cross-sectional area, and height of the reinforcing rib if the maximum value of Mises stress at the collision position outside the face center is 1.3 times or more of the maximum value of Mises stress at the face center position And the simulation is repeated so that the maximum value of the Mises stress outside the face center is less than 1.3 times, preferably less than 1.2 times the maximum value of the Mises stress at the face center.

As an analysis software for simulation, LS-DYNA manufactured by LSTC is used, but ABAQUS Exclusive manufactured by HKS, PAM-CRASH manufactured by ESI, or the like can also be used.
Further, the finite element model can be a combination of one or a plurality of beam elements, shell elements, and solid elements, and the analysis conditions and the like can be appropriately changed.

Next, an embodiment of the golf club head of the present invention manufactured using the design method will be described with reference to FIGS.
The golf club head may be manufactured based on a design method different from the design method.

  A wood type golf club head 10 shown in FIGS. 6 to 9 includes a face part 12 for hitting a ball, a crown part 13 extending from the upper edge of the face part 12 to the rear of the head, and a golf club from the lower edge of the face part 12. A shaft hole (not shown) for inserting and bonding a shaft (not shown) and a sole part 14 extending rearward of the head, a side part 15 other than the face part 12 extending between the crown part 13 and the sole part 14 A hosel part provided with

The golf club head 10 is made of a metal such as a titanium alloy, and is composed of two members obtained by joining the face portion 12 and the main body portion 19 behind the face portion 12 with a boundary line K. The face portion 12 is made by a forging method, The main body 19 is produced by a lost wax precision casting method.
The material of the golf club head is not limited to titanium alloy, and one or more kinds of metal materials including titanium, stainless alloy, aluminum alloy, magnesium alloy, etc., carbon fiber reinforced plastic, and the like can be used.

  The face portion 12 of the golf club head 10 having a hollow structure has a face surface 12a that comes into contact with the ball at the time of hitting, and a side facing the hollow serves as a face back surface 12b, and FIG. 6 is a plan view of the face back surface 12b side. The hatched portion in FIG. 6 is a peripheral portion gs of the face portion and is welded to the main body portion 19.

  As shown in FIG. 6, a central reinforcing rib 70 having a substantially elliptical cross section is provided in the central portion on the back surface side of the face portion 12, and a strip-shaped reinforcing member extending radially from the outer periphery of the central reinforcing rib 70 to the peripheral side. Ribs 71 to 76 are provided. In the present embodiment, six belt-shaped reinforcing ribs are provided, but four or more and ten or less may be used. Each of the belt-like reinforcing ribs 71 to 76 has a cross-sectional specification (cross-sectional area, cross-sectional shape, reinforcing rib width, rib height) at each position in the longitudinal direction is constant, and extends substantially straight.

The reinforcing ribs 70 to 76 are erected with respect to the rear surface reference surface of the face portion 12 at an intersecting angle α as shown in FIGS. The intersection angle α is set to 100 degrees or more and 160 degrees or less so that concentrated stress is not generated in the rising portion.
The intersection angle α is defined as follows.
First, as shown in FIG. 7A, a boundary point P3 between the reinforcing rib having a width W and the back face of the face is set in the cross section of the reinforcing rib. A line is drawn perpendicularly to the back face of the face at W / 7 from P3 toward the center of the reinforcing rib. As shown in FIG. 7B, the point where the perpendicular line and the surface of the reinforcing rib intersect is P1, and the point where the perpendicular line and the face back surface intersect is P2. α is 180 degrees minus ∠P1P3P2.

Sectional area of the reinforcing ribs 71 to 76 is set to 2.0 mm 2 to 10 mm 2. As shown in FIG. 8A, the cross-sectional area of the reinforcing rib is, for example, a position 72d separated from the longitudinal center position 72c of the total length L of the reinforcing rib 72 by 40% of the total length of the reinforcing rib. Similarly, when the position 72e separated from the position 72c by 40% of the total length of the reinforcing rib is set on the other end side of the reinforcing rib, the average value of the cross-sectional areas of the reinforcing ribs 72 at the respective longitudinal positions from the positions 72d to 72e is obtained. The cross-sectional area of the reinforcing rib 72 is used.
As shown in FIG. 8B, the band-shaped reinforcing ribs 71 to 76 have a height t of 0.3 to 2.0 mm, a width W of 8 to 22 mm, and a ratio between the height t and the lateral width W ( W / t) is not less than 5.3 and less than 74.

The height (wall thickness) of the central reinforcing rib 70 is set to 2.6 mm or more and 5.0 mm or less. The cross-sectional area is 10 mm 2 or more and 1000 mm 2 or less, and is 20% or more and 90% or less with respect to the entire area of the back surface of the face portion 12.

The crossing angle θ (θ1 to θ6) formed by the adjacent band-shaped reinforcing ribs 71 to 76 is less than 90 degrees. Moreover, in the position where these strip | belt-shaped reinforcement ribs 71-76 continue with the center reinforcement rib 70, it is set as the position where the adjacent strip | belt-shaped reinforcement ribs 71-76 cross | intersect, and required round (curvature radius) R ( R1 to R6) are smoothly provided.
The value of the ratio (θ / R) of the radius of curvature R (mm) and the crossing angle θ (degree) of the reinforcing rib is 3 or more and 50 or less.
As shown in FIG. 9, the relationship between the radius of curvature R and the intersection angle θ is, for example, at the portion where the boundary line rk of the reinforcing rib 72 and the boundary line rk of the reinforcing rib 73 intersect, When the value of θ / R, which is the ratio of the crossing angles of the ribs 72 and 73, decreases, the radius line of the curvature radius R becomes closer to the center position rc of the reinforcing rib crossing (m1), and conversely the value of θ / R is When it becomes larger, the radius line having the radius of curvature R becomes farther from the center position rc of the reinforcing rib intersection (m2).
When (θ / R) becomes smaller and less than 3, the thickness portion due to the reinforcing ribs increases too much and the coefficient of restitution decreases, whereas when it exceeds 50, stress concentration tends to occur and the durability decreases.
Therefore, the value of the ratio (θ / R) is 3 or more and 50 or less.

  In the wood type golf club head 10 having the above-described configuration, the maximum value of the Mises stress generated when the golf ball is hit off-center on the surface of the face portion 12 (face surface) is generated when the golf ball is hit at the center. The position, height, width, and cross-sectional area of the reinforcing ribs 70 to 76 are set so as to be less than 1.3 times the maximum value of the Mises stress.

  The golf club head according to the above-described design method and the design method reduces the rigidity of the face part at the time of off-center shot and improves the resilience characteristics by improving the impedance matching while securing the reinforcing effect by the reinforcing rib on the back surface of the face. Can expand the sweet area. Also, by constructing a club head model and a ball model by a computer and performing a collision simulation, it is possible to design very easily without going through steps such as trial manufacture of an actual product and actual measurement of stress values. Further, since the computer is used, the shape and material can be changed only by changing the input data, and the design of the face portion of the head with various patterns can be easily performed in the virtual space by the computer.

"Example"
The wood type golf club heads of Examples 1 to 8 shown in Table 1 and Comparative Examples 1 to 4 shown in Table 2 were produced on a computer, and collided with a ball model to perform a simulation to obtain a coefficient of restitution and evaluate.
Except for the reinforcing ribs of the face part, the specifications of all examples and comparative examples are the same, and the head is a hollow in which a substantially bowl-shaped face part and body part similar to the embodiment shown in FIGS. 6 to 9 are joined. The titanium alloy head was used. The head volume was 405 cc, the face area was 4100 mm 2, and the thickness of the face portion without the reinforcing ribs was 1.8 mm to 2.0 mm.

In the table, Smax: Maximum Mises stress value when hitting the face center Smax ': Maximum Mises stress value when hitting other than the face center (off-center) In the table, "Durability" means that the shaft and grip are attached to the head of each example. A golf club was struck and 1000 balls were hit by a swing robot at a head speed of 50 m / s with the face center as a hit point. The case where the depth of the dent of the face surface generated by hitting was 0.1 mm or less was indicated as ◯, the case where the depth exceeded 0.1 mm was indicated as Δ, and the case where the face surface was destroyed by hitting within 1000 balls was indicated as ×.

As shown in Tables 1 and 2, the shape of the back face of Example 1 is shown in FIG. 10, Example 2 is shown in FIG. 11, Example 3 is shown in FIG. 12, and Example 4 is shown in FIG. did. In Example 5 and Example 6, the overall configuration was the same as in FIG. 13, and the standing state of the belt-shaped reinforcing ribs was as shown in FIGS. 14 and 15. Example 7 was configured as shown in FIG. 16, and Example 8 was configured as shown in FIG.
The overall shapes of Comparative Example 1 and Comparative Example 2 were as shown in FIG. 2A, and the reinforcing ribs were erected at 110 ° and 90 ° as shown in FIGS. Comparative Example 3 has the shape shown in FIG. 20, and Comparative Example 4 has the shape shown in FIG.

For Examples 1 to 8 and Comparative Examples 1 to 4, a head model and a ball model are produced as shown in FIG. 2, and the ball model collides with the head model, and the Mises stress generated at the collision position is analyzed. did.
The stress analysis results of Example 1 are shown in FIG.
Collision positions are center position CEN (a), U10 position (b) 10 mm upward from the center position, D10 position (c) 10 mm downward, H20 position (d) 20 mm downward heel side, toe side 20mm T20 position (e), 20mm up to the heel side and 10mm heel side diagonally upward H20U10 position (f), 20mm down to the heel side and 10mm down heel side diagonal H20D10 position (g), to the toe side T20U10 position (h) obliquely 20 mm above and 10 mm toe side obliquely upward, and T20D10 position (i) obliquely below 10 mm toe side obliquely and 20 mm downward toe side.

In Examples 1 to 8 shown in Table 1, Smax '/ Smax was 1.3 or less, and it was confirmed that even when hitting off-center, the resilience performance equivalent to that when hitting with the center was obtained. As a result, it is recognized that the sweet area has been expanded. In addition, as for the durability evaluation, good results were obtained with ◎ and ○.
On the other hand, in Comparative Examples 1 to 4 shown in Table 2, Smax '/ Smax exceeded 1.3, and the resilience performance was different between when hitting off-center and when hitting at the center, and hitting off-center. In some cases, it was confirmed that the rebound performance equivalent to that of hitting at the center could not be obtained. In addition, the durability was evaluated as Δ or ×.

It is a design flowchart of the golf club head of this invention. (A) is a perspective view of a golf club head model, (B) is a front view of a golf club head model. It is the schematic of a golf ball model. (A), (B), and (C) are explanatory views of a collision situation between a golf ball model head and a golf club head model. It is a figure which shows the time change of the stress which generate | occur | produces in a certain element at the time of impact. 1A and 1B show a golf club head according to an embodiment of the present invention, in which FIG. 1A is a plan view of a face portion viewed from the back side, and FIG. (A) is a figure explaining the definition of the standing angle (alpha) of the reinforcement rib with respect to the reference surface of a face back surface, (B) is an enlarged view of the part enclosed by the square in (A). (A) is drawing for demonstrating the cross-sectional area of a reinforcement rib, (B) is drawing which shows the width | variety and height of a reinforcement rib. It is an enlarged view of the boundary part of the strip | belt-shaped reinforcement rib adjacent to a center reinforcement rib. FIG. 3 is a plan view of the back side of the face part of the first embodiment. 6 is a plan view of the back surface side of the face part of Example 2. FIG. 6 is a plan view of the back surface side of the face part of Example 3. FIG. FIG. 10 is a plan view of the back side of the face part of Example 4. It is drawing which shows the standing angle of the reinforcement rib of Example 5. FIG. It is drawing which shows the standing angle of the reinforcement rib of Example 6. FIG. FIG. 10 is a plan view of the back surface side of the face part of Example 7. FIG. 10 is a plan view of the back surface side of the face part of Example 8. 5 is a drawing showing the standing angle of the reinforcing rib of Comparative Example 1; It is drawing which shows the standing angle of the reinforcing rib of the comparative example 2. 10 is a plan view of the back surface side of a face portion of Comparative Example 3. FIG. 14 is a plan view of the back side of the face part of Comparative Example 4. FIG. 3 is a graph showing Mises stress analysis results of Example 1.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Golf club head model 2 Face part 5 Golf ball model 10 Golf club head 12 Face part 12a Face surface 12b Face back surface 13 Crown part,
14 sole part 15 side part 16 hosel part 19 main body part 70 central reinforcing ribs 71 to 76 strip-shaped reinforcing ribs

Claims (9)

  1. A golf club head design method using a computer,
    A club head in which a central reinforcing rib is provided at the center of the back surface of the face portion and a plurality of belt-like reinforcing ribs extending radially from the central reinforcing rib to the peripheral side are provided and a golf ball is divided into finite elements. A model and a ball model are provided, the ball model is made to collide with the face surface of the club head model, and Mises stress generated at the collision position is obtained.
    By changing the setting condition of the reinforcing rib composed of the central reinforcing rib and the belt-shaped reinforcing rib, the maximum value of the Mises stress when the off-center of the face surface is the collision position is the Mises stress when the center is the collision position. A golf club head designing method, wherein the golf club head is designed to be less than 1.3 times the maximum value.
  2. The belt-shaped reinforcing ribs on the back surface of the face portion are 4 or more and 10 or less reinforcing ribs,
    The golf club head design method according to claim 1, wherein the setting conditions of the belt-shaped reinforcing rib include the number of reinforcing ribs, the arrangement position, the cross-sectional area, the height, and the width.
  3.   The club head model is a wood-type club head model, and the reinforcing rib is provided on the back surface of the metal plate forming the face portion, and the maximum value of the Mises stress at the off-center collision position is 1.3 times the maximum. If the cross-sectional area, width and / or height of the reinforcing rib on the back surface side of the collision position is increased, and if it is less than 1.0, the reinforcement on the back surface side of the off-center collision position is increased. The golf club design method according to claim 1, wherein the cross-sectional area, width, and / or height of the rib are small.
  4.   A golf club head designed by the design method according to claim 1.
  5.   On the back surface of the face portion, a central reinforcing rib is provided in the central portion, and four or more and ten or less belt-like reinforcing ribs extending radially from the central reinforcing rib to the peripheral side are provided, and the center position of the face surface is set. The maximum value of the Missel stress generated when the off-center position other than the center position is set as the collision position of the golf ball is less than 1.3 times the maximum value of the Mises stress generated when the golf ball is set as the collision position. A golf club head characterized by being set to.
  6.   On the back surface of the face portion, a central reinforcing rib is provided at the central portion, and four or more and ten or less belt-like reinforcing ribs extending radially from the central reinforcing rib to the peripheral side are provided. The ratio of t to width W (W / t) is 15 or more and less than 40, and the reinforcing rib is erected at an angle of 100 degrees or more and 160 degrees or less with respect to the reference surface of the face back surface. Golf club head.
  7. It consists of a wood type golf club head,
    The reinforcing rib is provided on the back surface of the metal plate constituting the face portion, and the cross-sectional area of the central reinforcing rib is 20% or more and 90% or less with respect to the entire area of the back surface of the face portion. The golf club head according to any one of the above.
  8. The golf club head according to claim 7, wherein a thickness of the central reinforcing rib is 2.6 mm or greater and 5.0 mm or smaller, and an area of the central reinforcing rib is 10 mm 2 or greater and 1000 mm 2 or less.
  9.   The portion where the boundary lines of the adjacent band-shaped reinforcing ribs intersect is rounded, and the value of the ratio (θ / R) of the radius of curvature R (mm) of these rounded ribs and the intersecting angle θ (degrees) of these reinforcing ribs is The golf club head according to any one of claims 4 to 8, wherein the golf club head is 3 or more and 50 or less.
JP2005202727A 2005-07-12 2005-07-12 Design method of golf club head and golf club head Pending JP2007025761A (en)

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