邊界元素法於多領域二維彈動力問題之應用研究

Abstract

本文主要在利用時間域邊界元素法來求解多層次域（Multi-Domain）的問題。而在推導公式的過程中，我們籍由次結構物（Substructure）的觀念，配合二項條件；一為力平衡關係，另一為位移諧和關係，利用此兩項條件，來求解多層次域的邊界值（曳引力、位移）。 而後本文將依據此理論，針對兩塊不同材質，改變其基本性質(如剪力模數G、包松比ν)，與改變載重形式。我們發現，基本性質改變，勁度與週期亦隨之改變，且其影響性也有程度上的不同。

The paper is devoted to solve the wave propagation problems in 2-D multi-region by time-domain BEM. In dealing with multi-region problems, the concept of substructure is employed. When substructure concept is applied, two condition, one is equilibrium equation and the other is compatibility relationship. At the interfaces of different region, must be employed in order to obtain the boundary values of tractions and displacements. In order to demonstrate the accuracy of the presented method and show some phenomenon of wave propagation in multi-region domain, we choose two-region domain with different material properties and changing their basic property (such as shear modulus G and poisson ratioν) and load form. Results indicate that stiffness and period will change when basic property change and their influence on displacement and traction are completely different.