平板兰姆波与缺陷作用边界元仿真实现研究

Study on Implementation of Boundary Element Method Simulation for Lamb Wave Interaction with Defects in Elastic Plate

讨论用于仿真计算兰姆波和缺陷作用规律的混合边界元方法实现中的若干问题,包括基本弹性动力边界积分方程和动力基础解,对边界积分方程离散得到的矩阵形式的线性方程组中系数矩阵元素的求解,以模式展开建立虚拟边界上的边界条件,计算精度的分析,以及一些仿真算例。边界元仿真的结果为使用兰姆波进行弹性平板缺陷检测提供了重要的理论基础,也可以作为缺陷量化的依据。

Some implementation issues for the hybrid boundary element method program used to simulate Lamb wave interaction with defects in elastic plate were discussed, including basic elastodynamic boundary integration equation and fundamental solutions, solving of the coefficient matrix elements for the matrix form system of linear equations, boundary conditions formulation for the virtual boundaries of the model based on mode expansion, calculation accuracy analysis, and some simulation results. This method and the acquired results provide important theoretical basis for Lamb wave plate inspection and can also be used as the foundation of defect quantification algorithm development.