采用一种先进的半解析方法来模拟带有电路电极阵列的多层压电板的动态行为

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-03-22 DOI:10.1016/j.enganabound.2025.106217

Sergey I. Fomenko , Mikhail V. Golub , Yanzheng Wang , Ali Chen , Zheng-Yang Li , Dongjia Yan , Chuanzeng Zhang

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引用次数: 0

摘要

详细研究压电超材料中的特殊波动现象需要先进而精确的数值方法。提出了一种基于格林矩阵傅里叶变换和布布诺夫-伽辽金方法的扩展边界积分方程方法，用于电极阵列通过电路成对连接的多层压电层板的波动模拟。该方法的半解析性质允许其应用于寻找具有电极阵列的压电层压结构的最佳配置和调谐参数。通过与其他数值方法的比较，验证了所提出的半解析方法的正确性，并通过几个具有代表性的压电双晶的超材料构形实例验证了所提出方法的收敛性和准确性。给出了阻带调谐和模式转换的例子。

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An advanced semi-analytical method for modeling dynamic behavior of multi-layered piezoelectric laminates with arrays of electrically circuited electrodes

Detailed studies of peculiar wave phenomena in piezoelectric metamaterials require advanced and accurate numerical methods. An extended boundary integral equation method based on the employment of the Fourier transform of Green’s matrices and the Bubnov–Galerkin method is presented for the wave motion simulation of a multi-layered piezoelectric laminate with electrode arrays connected pairwise via electrical circuits. The semi-analytical nature of the method allows its application to find optimal configuration and tuning parameters of the considered piezoelectric laminated structures with arrays of electrodes. The proposed semi-analytical method is verified by the comparison with other numerical methods, and the convergence and the accuracy of the developed method are demonstrated using several representative examples of metamaterial configuration for piezoelectric bimorphs. Examples of tuning of stop bands and regimes of mode conversion are shown.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.