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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 problems in the implementation of the mixed boundary element method, which is used to simulate the Lamb waves and the law of the defects, are discussed. The basic elastic dynamic boundary integral equations and the basic dynamic solutions are obtained. The coefficients in the matrix form of linear equations discretely obtained for the boundary integral equations The solution of the matrix elements is modeled to establish the boundary conditions on the virtual boundary, the analysis of the calculation accuracy, and some simulation examples. The results of the boundary element simulation provide an important theoretical basis for the detection of elastic flat plate defects using Lamb waves and can also be used as the basis for quantification of defects.