用子结构法解一维杆与结构的接触-冲击问题

A Substructure Method For Contact-Impact Between a Bar and a Structure

本文用子结构法分析了一维杆与结构的接触-冲击问题。该法将接触-冲击的两物体视为两个有限元系统,建立各自的运动方程,然后按接触点处的位移、速度、加速度及接触力相容条件进行迭代计算,得到收敛的解。文中用该法计算了经典的两杆冲击问题,结果与精确解甚符。最后讨论了几个参数对杆与结构接触-冲击的影响。

A general substructure method for analysis of responses of a bar and a structure, which are contacting-impacting, is presented. The method treats the two bodies separately which are idealized as two finite element systems. Their motion equations are written independently. The convergent results can be obtained by using an iteration algorithm according to the compatibility of displacements, velocities, accelerations and forces on the contact points. The results demonstrate the accuracy of the algorithm. Finally, the effects of some parameters on contact-impact problems are discussed.