A study on Computational Accuracy of the Laplace Transform Boundary Element Method for Unsteady Elastodynamic Problems (Two-Dimensional Cases).

Abstract

In the Laplace transform boundary element analysis for unsteady elastodynamic problems, the inverse transform must be performed numerically. Computational accuracy and efficiency of the results are influenced by the computational conditions such as the sampling number and the number of boundary elements. This paper proposes a new procedure to determine the computational conditions for accurate and efficient analysis of the unsteady elastodynamic problems. The proposed procedure employs two techniques of the numerical inverse Laplace transform, that is, Hosono's technique for obtaining the reference results and Durbin's technique for main use in numerical analysis. Numerical computation is carried out for several two-dimensional problems to demonstrate the usefulness of the proposed procedure.