弹性动力问题的有限元与特解边界元耦合的数值方法

Elastodynamics Problems by Numarical Hybrid Method of particular solution BE and FE.

导出了特解边界元法与有限元法的耦合方程。并应用自由度缩减技术,使耦合方程的自由度缩减到有限元域及其和边界元域的耦合边界上。这样得到的耦合方程不增加原有限元方程的带宽和阶数。耦合方程的求解可以引用求解有限元方程的所有方法,易于程序实现。数值算例结果表明,本文所提出的方法是正确的,是一种较为理想的耦合方法。

The particular solution boundary element(BE.)method and finite element(FE.)method coupling equa- tion is derived.Used the technique of reducing freedom,the freedom of coupling equation is resduced to which only includ the freedom of finite element domain as well as that of coupling boundary of both FE.do- main and Be.domain.The equation doesn't increase the width of the matrix of original finite element equa- tion.All the method of solving the finite element equation is suitable for solving the coupling equation.The method is easy to practice in program.Numarical results indicates that the method raised in this paper is cor- rect.