Boundary Element Analysis for Unsteady Elastodynamic Problems Based on the Laplace Transform

Abstract

In the present paper, the boundary element method(BEM) for unsteady elastodynamic problems based on the Laplace transform is discussed. In the Laplace transformed BEM, the accuracy of teh numerical results is generally governed by the numerical treatment of the inverse Laplace transformation for the transformed solutions. Two types of numerical inverse Laplace transformation(NILT) formula, namely Krings & Waller's method and Hosono's method are applied to the 2-dimensional BEM analysis employing regularized boundary integral equations. It is shown that there is a stability condition between the element size and the time discretization. The characteristics of two types of NILT methods are found out through 2-dimensional BEM analyses for the unsteady elastodynamic problems.