本文在对乒乓球与球台/球拍反弹过程的受力、冲量、冲量矩分析的基础上,提出“临界摩擦角”的概念,并利用“临界摩擦角”给出乒乓球与球台/球拍之间是滚动还是滑动的判定条件,从而进一步得到乒乓球与球台/球拍之间的物理反弹模型.另外,通过学习算法,利用多元线性回归得到了一种反弹模型.最后通过参数估计、试验验证、误差分析,证明了两种反弹模型的有效性.
Based on the stress, impulse, and impulse moment received by a spinning table tennis ball from the ta- ble/racket in the rebound process, a concept of 'critical friction angle' is introduced and a criterion is put forward to distinguish the types of the friction effects, thus a physical rebound model is built. In addition, a linear rebound model is obtained through the learning algorithm and multiple linear regressions. Experiments and the error analysis validate the effectiveness of the two rebound models.