基于拉氏变换的弹性动力学问题边界元法

弹性动力学方程的边界元求解一般有两种方法，一是采用带时间变量基本解的时域法，二是采用积分变换法(拉氏变换或富氏变换)。本文采用拉氏变换，将瞬态的弹性动力学方程作拉氏变换后，在变换域内用边界元法求解，最后再用代数数值反演方法求得原问题的解。

Boundary Element Method with Laplace Transform for Elastodynamics

It is well-known that there are two approaches for the boundary element method of elastodynamics. The first one is time-domain approach using the fundamental solution with time parameter; another one is a combination of BEM with Laplace or Fourier transformation. In this paper the Laplace transform is applied. The transient elastodynamics equation is transformed and then solved using BEM. Finally, the algebraic numerical inversion of Laplace transform is introduced to obtain the solution of original problem.