The present invention relates to a wood golf club head, and more particularly, to a wood golf club head which can describe the most desirable trajectory of a golf ball, that is, which can achieve the maximum flight distance of a golf ball effectively.
Conventionally, in relation to a wood golf club head, especially a driver club head, various kinds of efforts have been made to improve the flight distance of a golf ball struck by such a club head. Experience has shown that a launch angle and a backspin speed of a golf ball after striking it as well as the head speed of the golf club being used should be appropriately determined in order to increase the flight distance of the ball.
For example, as to the correlation between the head speed of a golf club and the launch angle of a golf ball, it has been considered preferable that inverse correlation exists between them. That is, as the club head speed becomes higher the ball launch angle is made smaller, whereas as the club head speed becomes lower the ball launch angle is made greater.
Also, as to the correlation between the club head speed and the backspin, a certain range of the most desirable backspin relative to the club head speed has been determined according to the rule of the thumb. For example, as the club head speed becomes higher the backspin rate is made lower, whereas as the club head speed becomes lower the backspin rate is made higher.
However, there have been no formulations to describe the correlation between the club head speed, ball launch angle and backspin rate, especially the correlation between the ball launch angle and backspin rate in order to improve the ball flight distance more effectively.
The present invention has been made in view of these circumstances, and its object is to provide a wood golf club head which can effectively achieve the maximum flight distance of a golf ball, that is, which can describe the optimum trajectory or the flight path of a golf ball, by incorporating appropriate correlation between the launch angle and backspin speed of a golf ball immediately after ball impact.
Different kinds of trajectory computing methods of a golf ball have been developed so far, but the there were considerable errors between the ball flight distance calculated by the trajectory computing methods and the flight distance of a ball that has been actually struck and measured. Therefore, the trajectory computing methods of prior art are not accurately established.
The inventors of the present invention have been engaged in the trajectory computing method of a golf ball for a long period of time, and have now found that the ball flight distance determined by the following method coincides with the actual ball flight distance very precisely.
A ball that has been struck by a golf club head is influenced by aerodynamic force during flight. By forming the equation of motion under the influence of the aerodynamic force and solving it by numerical analysis, the ball position at every moment can be determined.
Now, force F applied to a ball in flight at time instant t can be expressed below when X coordinate designates the flight direction and Y coordinate the vertical direction.
FX(t)=−½(CD(t)cos α+CL(t)sin α)ρAVB(t)2 (1)
FY(t)=−½(CD(t)sin α−CL(t)cos α)ρAVB(t)2−mg (2)
where CD: drag coefficient, CL: lift coefficient, α: ball elevation angle(deg), ρ: air density(kg/m3), A: ball sectional area(m2), VB: ball velocity(m/sec), m: ball mass(kg), g: gravitational acceleration(m/sec2).
Also, the golf ball during flight is influenced by aerodynamic torque that decreases the rotational speed of the ball. Decrease in the rotational speed of the ball due to the aerodynamic torque can be expressed as follows:
N(t+Δt)=−ρAdCm(t)VB(t)2Δt/(4πI)+N(t) (3)
where Cm: moment coefficient, d: ball diameter(m), I: moment of inertia of a ball (kg·m2), N: ball rotational speed(rps).
Incidentally, the flight distance of a golf ball that has been struck by the golf club head is determined by the initial velocity of the ball immediately after the impact, the launch angle of the ball, which is the angle the ball flight makes to the horizontal when it initially comes off the club face, and the rotational speed (or spin speed) of the ball immediately after the ball leaves the club face. The ball velocity is generally determined by the club head speed of a golfer and the restitution coefficient of the club head relative to the ball. Thereby, in the case of each individual golfer and club, correlation between the launch angle and backspin speed that makes the ball flight distance maximum can be achieved. To be concrete, at an arbitrary ball speed, with the variables of the launch angle and backspin speed, the optimal solution is sought using the above-mentioned equation of motion. The optimal solution shows the correlation between the launch angle and the backspin that makes the ball flight distance maximum.
The present invention has been made in view of these circumstances. The wood golf club head according to a first embodiment of the present invention is designed so that the launch angle and backspin speed of a golf ball can be located in the region defined by the ellipse, shown in
Additionally, in
The wood golf club head according to a second preferred embodiment of the invention is designed so that the launch angle and backspin speed of a golf ball can be located in the region defined by the ellipse, shown in
The ellipse of
In this case, by designing a wood golf club head in such a way that the ball launch angle and backspin speed can satisfy the correlation that is included in the region defined by the ellipse shown in
The wood golf club head according to a third embodiment of the invention is designed so that the launch angle and backspin speed of a golf ball can be located in the region defined by the ellipse, shown in
The ellipse of
In this case, by designing a wood golf club head in such a way that the ball launch angle and backspin speed can satisfy the correlation that is included in the region defined by the ellipse shown in
With respect to the wood golf club head according to a fourth aspect in connection with the first, second or third embodiment of the invention, the above-mentioned ellipse is determined by solving the equation of motion via numerical analysis using the following equations:
Fx(t)=−½(CD(t)cos α+CL(t)sin α) ρAVB(t)2;
FY(t)=−½(CD(t)sin α−CL(t)cos α) ρAVB(t)2−mg;
and
N(t+Δt)=−ρAdCm(t)VB(t)2 Δt/(4πI)+N(t);
where FX(t) is force applied to a ball in flight in the flight direction at time instant t, FY(t) is force applied to a ball in flight in the vertical direction at time instant t, and N(t+Δt) is decrease in the rotational speed of a ball due to aerodynamic torque after interval of Δt; and where CD: drag coefficient, CL: lift coefficient, α: elevation angle of a ball(deg), π: air density(kg/m3), A: sectional area of a ball (m2), VB: ball velocity(m/sec), m: ball mass(kg), g: gravitational acceleration(m/sec2), Cm: moment coefficient, d: ball diameter(m), I: moment of inertia of a ball (kg·m2), N: ball rotational speed(rps).
With respect to the wood golf club head according to a fifth aspect in connection with the first, second or third embodiment of the invention, a face, or striking surface, of the wood golf club head is formed of a low friction material.
Here,
In order to increase the ball launch angle, increasing loft of a club head may be considered one way. However, merely increasing the loft makes the spin speed as well enlarged. Thereby, each of the dots plotted in
Therefore, in order to put these dots inside and near the ellipse, it is necessary to enlarge only the launch angle without increasing the backspin speed. For that reason, some measures to increase the loft as well as to decrease the backspin speed are required. As an example, a low friction material may be utilized on the face of the golf club head so as to decrease the coefficient of friction of the face relative to the ball. Alternatively, a coating layer may be formed on the face. The invention according to a fifth aspect has been made in view of these standpoints.
In this case, by decreasing the coefficient of the face, backspin of the ball after impact can be reduced. As shown in each of the elliptic regions in
Techniques to decrease the coefficient of friction of the face are, as described according to a sixth aspect of the invention, any one of the coatings such as DLC(Diamond-like carbon) film coating, ceramic coating, and SiC coating. In these coating layers, especially, the DLC coating layer having a coefficient of friction of 0.1 or less, which is lower relative to the metal nitride film or the like, is more preferable. Also, the DLC coating layer has a higher hardness and thus, a superior wear resistance. The ceramic coating can achieve an ultra-low coefficient of friction by doping TEFLON® (tetrafluoroethylene fluorocarbon polymer or fluorinated ethylene-propylene polymer; DuPont) into the minute pores of the ceramic film. The SiC coating has a higher hardness and thus, it is superior in wear resistance.
Also, as described according to a seventh aspect of invention, DYNEEMA® FRP (DFRP: Ultra-High-Strength Polyethylene Fiber Reinforced Plastic; TOYOBO Co., Ltd.) may be used as a face material. In this case, the coefficient of friction of the face can be reduced and besides, the strength of the face can be improved.
Moreover, as described according to an eighth aspect of the invention, chromium plating or dispersed nickel plating may be utilized on the face to decrease the coefficient of friction of the face.
Alternatively, as described according to a ninth aspect of the invention, the face may have an insert formed of polyacetal (POM), polyamide (PA), polytetrafluoroethylene (PTFE), polyphenylenesulfide (PPS), polyamideimide (PAI), or polyimide (PI).
In these materials, particularly, polytetrafluoroethylene(PTFE) has a remarkably lower coefficient of friction and higher wear resistance, and thus, it is more preferable as a face material.
Also, as described according to a tenth aspect of the invention, the face of a wood golf club head may be formed of composite materials that are made from pitch-based carbon fiber and a pitch-based matrix. Since such composite materials are superior in wear resistance, they are preferable as a face material.
According to an eleventh aspect in connection with the first, second or third embodiment, and/or the fourth aspect of the invention, the wood golf club head may be a driver club head.
According to a twelfth aspect in connection with the first, second or third embodiment, and/or the fourth aspect of the invention, the wood golf club head may be a driver club head whose loft (i.e. loft angle) is 13 to 20 degrees.
Incidentally, the loft angle for a men's driver club of the prior art is generally 8 to 12 degrees. However, such a loft angle cannot achieve an adequate ball launch angle. Therefore, in order to obtain the maximum golf ball carry as in the present invention, a driver with a loft angle of 13 to 20 degrees is preferable. The degree of loft angle less than 13 degrees has difficulty in achieving a ball launch angle of 13 degrees or more. As a result, it becomes difficult to impact a golf ball within the elliptic regions described according to the first, second and third embodiments of the invention. Also, the degree of loft angle more than 20 degrees decreases the restitution ratio, or the ratio of the initial ball velocity relative to the club head speed. Thereby, the ball speed becomes lower, and thus, the golf ball carry will not be improved.
According to the eleventh and twelfth aspects of the invention, a driver club head, which requires the greatest ball flight distance among wood golf club heads, can describe the optimum trajectory of a golf ball.
For a more complete understanding of the invention, reference should be made to the embodiments illustrated in greater detail in the accompanying drawings and described below by way of examples of the invention. In the drawings, which are not to scale:
A wood golf club head according to the present invention is shown in FIG. 1. Here, a driver club head is shown by way of example.
As shown
To be concrete, the face 2a is coated with DLC(Diamond-like Carbon) coating. DLC is a thin carbon film formed by a vapor phase synthetic method using hydrocarbon or solid carbon as a raw material. Since the DLC film has a lower coefficient of friction of 0.1 or less and a superior wear resistance, it is more preferable as the face material of a driver club head.
Also, the face 2a may be coated with ceramic or SiC. The ceramic coating can achieve an ultra-low coefficient of friction by doping TEFLON® (tetrafluoroethylene fluorocarbon polymer or fluorinated ethylene-propylene polymer; DuPont) into the minute pores of the ceramic film. The SiC coating has a higher hardness and a superior wear resistance. Moreover, the face 2a may be composed of DYNEEMA® FRP (DFRP: Ultra-High-Strength Polyethylene Fiber Reinforced Plastic). In this case, the coefficient of friction of the face 2a can be reduced and besides, strength of the face 2a can be improved. Furthermore, the face 2a may be plated with chromium or dispersed nickel to reduce the coefficient of friction thereof.
Alternatively, the face 2a may be provided with an insert formed of polytetrafluoroethylene(PTFE). The PTFE has a remarkably lower coefficient of friction and higher wear resistance, and thus, it is more preferable as a face material of a driver club head. In addition, the insert may be formed of polyacetal (POM), polyamide (PA), polyphenylenesulfide (PPS), polyamideimide(PAI), or polyimide(PI).
Also, the face 2a may be formed of composite materials that are made from pitch-based carbon fiber and pitch-based matrix. Since such composite materials are superior in wear resistance, they are preferable as a face material.
In such a manner, by composing the club head face 2a from material with a lower coefficient of friction, backspin is hard to occur on a golf ball after impact. Thereby, backspin after impact can be controlled at e.g. 2000 (rpm) or less. As a result, the launch angle and backspin of a golf ball immediately after leaving the club head face can be easily located in each of the elliptic regions that are shown in
Here, each of the elliptic regions, or regions encompassed by the ellipses shown in
The ellipse of
In this case, by designing a wood golf club head in such a way that the ball launch angle and backspin speed can satisfy the correlation that is included in the region defined by the ellipse shown in
The ellipse of
In this case, by designing a wood golf club head in such a way that the ball launch angle and backspin speed can satisfy the correlation that is included in the region defined by the ellipse shown in
Each of the ellipses in
FX(t)=−½(CD(t)cos α+CL(t)sin α)ρAVB(t)2;
FY(t)=−½(CD(t)sin α−CL(t)cos α)ρAVB(t)2−mg; and
N(t+Δt)=−ρAdCm(t)VB(t)2Δt/(4πI)+N(t);
where FX(t) is force applied to a ball in flight in the flight direction at time instant t, FY(t) is force applied to a ball in flight in the vertical direction at time instant t, and N(t+Δt)is decrease in the rotational speed of a ball due to aerodynamic torque after interval of Δt; and where CD: drag coefficient, CL: lift coefficient, α: elevation angle of a ball (deg), ρ: air density(kg/m3), A: ball sectional area(m2), VB: ball velocity(m/sec), m: ball mass(kg), g: gravitational acceleration(m/sec2), Cm: moment coefficient, d: ball diameter(m), I: moment of inertia of a ball (kg·m2), N: ball rotational speed(rps).
Additionally, in
Also, in the driver club head according to the embodiment of the present invention, loft is preferably 13 to 20 degrees.
The degree of loft less than 13 degrees has difficulty in achieving a ball launch angle of 13 degrees or more immediately after ball impact. As a result, it becomes difficult to impact a golf ball within the above-mentioned elliptic regions. On the other hand, the degree of loft more than 20 degrees decreases the restitution ratio, or the ratio of initial ball velocity relative to club head speed, thereby decreasing the ball speed. As a result, the golf ball carry will not be improved.
According to the present invention, a driver club head, which requires the greatest ball flight distance among wood golf club heads, is achieved that can describe the optimum trajectory of a golf ball.
The present invention is most applicable to a driver club head, but it can also be applied to other wood golf club heads.
Those skilled in the art to which the invention pertains may make modifications and other embodiments employing the principles of this invention without departing from its spirit or essential characteristics particularly upon considering the foregoing teachings. The described embodiments and examples are to be considered in all respects only as illustrative and not restrictive. The scope of the invention is, therefore, indicated by the appended claims rather than by the foregoing description. Consequently, while the invention has been described with reference to particular embodiments and examples, modifications of structure, sequence, materials and the like would be apparent to those skilled in the art, yet fall within the scope of the invention.
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