边界元法求解瞬态弹性动力学问题的一种新解法

A Novel Method for Solving Transient Elastodynamic Problems by BEM

本文首次将Newmark法引入到边界元法之中,从而使得边界元法与有限元法有机地结合起来,使边界元法的通用性在求解瞬态弹性动力学问题上大大加强,在程序的实现过程中应用一定的技巧,提出了多重子单元划分法,解决了时间步长与单元网格之间的耦合关系。提高了计算精度,缩短了计算时间,从所给出的算例可知,此算法是可行的,程序也是可靠的。

This is the first time to introduce the Newmark method into the boundary element method (BEM) in order to combine the BEM and FEM organically and to strengthen the generality of BEM in solving transient elastodynamic problems. In proecess implementation, a multi—sub—element division method is proposed for solving the coupling of time—step with element mesh dimension. It rises computational accuracy. and saves the computing time on. The examples showed that the proposed method and process could be desired.