Wavelet-Based Boundary Element Method for Calculating the Band Structures of Two-Dimensional Phononic Crystals
作者机构：College of Mechanical and Electrical EngineeringWenzhou UniversityWenzhou325035China
出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)
年 卷 期：2021年第34卷第5期
页 面：687-705页
核心收录：
学科分类：07[理学] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0703[理学-化学] 0702[理学-物理学]
基 金：This work is supported by the National Natural Science Foundation of China(Nos.U1909217,U1709208) Zhejiang Special Support Program for High-level Personnel Recruitment of China(No.2018R52034)
主 题：Wavelet-based boundary element method B-spline wavelet on the interval Phononic crystal Band structure
摘 要：A wavelet-based boundary element method is employed to calculate the band structures of two-dimensional phononic crystals,which are composed of square or triangular lattices with scatterers of arbitrary cross *** the aid of structural periodicity,the boundary integral equations of both the scatterer and the matrix are discretized in a unit *** make the curve boundary compatible,the second-order scaling functions of the B-spline wavelet on the interval are used to approximate the geometric boundaries,while the boundary variables are interpolated by scaling functions of arbitrary *** any given angular frequency,an effective technique is given to yield matrix values related to the boundary ***,combining the periodic boundary conditions and interface conditions,linear eigenvalue equations related to the Bloch wave vector are *** numerical examples illustrate the superior performance of the proposed method by comparing with the conventional BEM.
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