In the study, in conjunction with perfectly matched layer (PML) analysis, an approach is proposed for the evaluation of complex derivatives directly in terms of complex stretching coordinates of points in PML. For doing this within the framework of generalized finite difference method (GFDM), a difference equation is formulated and presented, where both the function values and coordinates of data points might be complex. The use of the proposed approach is considered in the analysis of inhomogeneous visco-elasto-dynamic system and assessed through three example problems analyzed in Fourier space: the composite and inhomogeneous tube, layer and impedance problems. The GFDM results obtained for the tube and layer problems compare very closely and coincide almost exactly with the exact solution. In the impedance problems, rigid surface or embedded footings resting on a composite inhomogeneous half-space are considered. The influences of various types of inhomogeneities, as well as, of various geometric shapes of PML-(physical region) interfaces on impedance curves are examined.

在研究中，结合完美匹配层 (PML) 分析，提出了一种直接根据 PML 中点的复拉伸坐标评估复导数的方法。为了在广义有限差分法 (GFDM) 的框架内执行此操作，制定并呈现了一个差分方程，其中数据点的函数值和坐标可能很复杂。在非均匀粘弹动力系统的分析中考虑使用所提出的方法，并通过在傅立叶空间中分析的三个示例问题进行评估：复合和非均匀管、层和阻抗问题。管和层问题获得的 GFDM 结果非常接近，几乎与精确解完全一致。在阻抗问题中，刚性表面或嵌入的基脚放置在复合材料的非均匀半空间上。检查了各种类型的不均匀性以及 PML-（物理区域）界面的各种几何形状对阻抗曲线的影响。