研究柔性体撞击问题的子结构离散方法

本文用子结构方法研究刚性小球和均质柔性杆的纵向撞击以及和均质柔性梁的横向撞击问题，导出了用模态坐标表示的动力学方程，通过对刚性小球和柔性杆的纵向撞击的仿真教育处发现，在总单元数相同的情况下，取8个子结构比较合理，在此基础上对刚性小球和均质柔性梁的横向撞击的特性进行研究，发现撞击力在变化过程中会产生上下波动，当梁的弹性模量增加时，撞击力增大，撞击时间缩短。

A substructure technique for the contact\|impact of a flexible body with a rigid ball

In this paper, a substructure method is used for the longitudinal and transverse impact of a bar(or a beam) with a rigid ball. The equation of motion expressed with modal coordinates is derived, which has fewer degree of freedom. It is shown that with the same element number, 8 substructure model is proper for the longitudinal impact. According to the rule, the transverse impact force is also presented which reveals that the time history of the impact force is not a smooth curve. It is shown that when the modulus of elasticity increases, the impact force becomes greater and the contact duration is shortened.