A-12 Dynamic Analysis of Wrist Turn Using Theory of Free Vibration

Abstract

We aim to clarify dynamics of the wrist turn of a golf swing and the effect of the parameters on dynamic behavior at the wrist turn with simple approximate equations. We model the dynamic behavior of the wrist turn as a free vibration of double pendulum system. At first, we carry out the eigenvalue analysis for the rotating double pendulum system and calculate transient response of the wrist turn using the modal analysis method. Through the discussion, we derive essential parameters which can give us a physical insight to understand the dynamic behavior of the wrist turn. Next, we convert the equations of motion of the two- degree-of-freedom double pendulum system to a single-degree-of-freedom pendulum system because the dynamic behavior of the single-degree-of-freedom system is easy to understand. Finally, we derive a very simple approximate equation which can express the effect of parameters on the head speed at the impact without numerical integration.