A novel method for shear horizontal surface waves in periodically layered semi-infinite structures with coating layers
A novel method for shear horizontal surface waves in periodically layered semi-infinite structures with coating layers
复制标题
具有涂层的周期性层状半无限结构剪切水平面波的新方法
DOI：
10.1016/j.jsv.2019.03.011
复制
发表时间：
2019
影响因子：
4.7
通讯作者：
Zhang Y H
中科院分区：
文献类型：
--
作者：
Gao Q;Zhang Y H
本文的目的是引起人们对周期性层状半无限涂层结构中剪切水平(SH)面波频散的研究。基于辛矩阵的性质，给出并证实了关于这一问题的一系列重要结论。周期层状半无限结构中SH面波的传播特性可以用一个单胞来分析，这意味着计算成本大大降低。然后，基于W-W算法，将该方法推广到具有涂层的周期性层状半无限结构中的SH表面波的预测。所有的特征频率都可以用特征值计数的概念来计算。在这项研究中考虑了两种边界条件(自由表面和固定表面)。最后，给出了几个数值算例来说明该方法的性能，并与以前发表的结果和通过求根技术得到的结果进行了比较。
The motivation of this paper is to draw attention to the research of shear horizontal (SH) surface wave dispersions in periodically layered semi-infinite structures with coating layers. Based on the properties of the symplectic matrix, a series of important conclusions regarding this subject are presented and confirmed. The propagation behaviour of SH surface waves in periodically layered semi-infinite structures can be analysed using only a single unit cell, which implies a significant reduction in the computational cost. Then based on the Wittrick-Williams (W-W) algorithm, the proposed method was extended to predict SH surface waves in periodically layered semi-infinite structures with coating layers. All eigenfreqencies can be computed by using the concept of the eigenvalue count. Two types of boundary conditions (free and clamped surfaces) are considered in this study. Finally, serval numerical examples are provided to illustrate the performance of the proposed method, which involves a comparison with previously published results and results obtained via the seeking root technique.