Method for predicting modal damping ratio of composite head

1. A computer implemented method for predicting a modal damping ratio for a mode of vibration, of a composite head comprising two or more kinds of materials comprising a first material and a second material, the method comprising the steps of:

computing, using a computer, at least a coefficient Px of a generalized Maxwell model M1 in the first material using a known material damping ratio ζ1;

obtaining a calculation model of the head using the generalized Maxwell model M1; and

calculating, using the computer, the modal damping ratio of the head based on analysis of the head using the calculation model.

2. The method according to claim 1 comprising the steps of:

computing the coefficient Px of the generalized Maxwell model M1 in the first material using the known material damping ratio ζ1;

computing a coefficient Py of a generalized Maxwell model M2 in the second material using a known material damping ratio ζ2;

obtaining the calculation model of the head using the generalized Maxwell model M1 and the generalized Maxwell model M2; and

calculating the modal damping ratio of the head based on the analysis of the head using the calculation model.

3. The method according to claim 2 , wherein the first material is carbon fiber reinforced plastic (CFRP), and the second material is a titanium alloy.

4. The method according to claim 2 , wherein a representative value D1 having no frequency dependency is used as the material damping ratio ζ1, and a representative value D2 having no frequency dependency is used as the material damping ratio ζ2.

5. The method according to claim 2 , wherein a number of parallel Maxwell models is equal to or greater than two in the generalized Maxwell model M1; and

a number of parallel Maxwell models is equal to or greater than two in the generalized Maxwell model M2.

6. The method according to claim 1 , wherein the analysis of the head comprises the steps of:

performing impact response analysis;

calculating a frequency response function based on a result of the impact response analysis; and

calculating the modal damping ratio of the head based on the frequency response function.

7. A method for designing a golf club head, comprising the steps of:

analyzing the head and calculating the modal damping ratio using the method according to claim 1 ; and

determining disposal of materials so as to bring about a long-time ball hitting sound in consideration of the relation between the modal damping ratio and a natural mode shape in each mode of vibration.

8. The method according to claim 7 , wherein the determining step comprises the steps of:

specifying a natural mode shape Lm having a comparatively large modal damping ratio; and

replacing at least a part of a region vibrating in the natural mode shape Lm with a material having a comparatively small material damping ratio.

9. The method according to claim 8 , wherein the material having a comparatively small material damping ratio is a material having the smallest material damping ratio ζ, of the materials used for the composite head.

10. The method according to claim 8 , wherein the replacing step is the step of replacing at least a part of the region vibrating in the natural mode shape Lm with a titanium alloy in place of carbon fiber reinforced plastic (CFRP).

11. The method according to claim 7 , wherein the determining step comprises the steps of:

specifying a natural mode shape Ls having a comparatively small modal damping ratio; and

replacing at least a part of a region unvibrating in the natural mode shape Ls with a material having a comparatively large material damping ratio ζ.

12. The method according to claim 7 , wherein the determining step comprises the steps of:

specifying a natural mode shape Lm having a comparatively large modal damping ratio; and

subjecting at least a part of a region vibrating in the natural mode shape Lm to dimensional change and/or shape change.

13. A ball hitting sound simulation method using the method according to claim 1 .