瞬态弹性动力学问题的半解析边界元法

SOLUTION OF TRANSIENT ELASTODYNAMIC PROBLEMS BY THE SEMI-ANALYTICAL BOUNDARY ELEMENT METHOD

本文用半解析有限元法对边界积分方程作离散化处理,通过引入基本解函数和半解析半离散试函数的二次半解析过程,使三维弹性动力学问题简化为一维数值计算。文中又采用移动边界元法来模拟波在半无限介质中传播的表面积分问题,分析计算了各种瞬态波在介质内传播,绕射及地面运动问题。计算结果表明,半解析边界元法不仅计算精度高,而且工作量大大降低,具有较高的经济效益与应用价值。

This paper presents a discrete process for boundary integral equation using the semi-analytical finite element. The three-Dimensional elastodyanmic problems have been simolified into one-dimensional numerical calculations by semi-analytical process twice of fun lamental solutions and trial functions. The moving boundary element method is used to describe the wave propagation in half-space. Some exam es such as wave propagation and wave diffraction were studied to show the higher accuracy, less computation work and great benifit of the numerical soultion.