218 卓球における衝突解析とラケットの性能予測

概要

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This work investigated the physical properties of the racket and the ball, and predicts the impact force, the contact time, the deformation of ball and rubber, and the rebound power coefficient associated with the impact when the impact velocity and the impact location on the racket face is given. It clarifies the origin of ball speed. It is based on the experimental identification of the dynamic characteristics of the ball-racket system and an approximate nonlinear impact analysis, where the contact time is determined by the natural period of the whole system composed of the mass of the ball, the nonlinear stiffness of the ball and rubber, and the reduced mass of the racket at the impact location on the rubber face. Also considered is the energy loss during the impact. The diameter and the mass of the ball are 38mm and 2.5g respectively and the mass of the racket is 171g including 79.5g for two sheets or rubbers. This work enables us to predict quantitatively the factors associated with impact between a racket and a ball. The results show that the rebound power coefficient peaks at 18mm from the center of the racket face and then diminishes because of the mass distribution of the racket. The rebound power coefficient decreases remarkably with increasing impact velocity.
2002-09-13