Using PWE/FE method to calculate the band structures of the semi-infinite beam-like PCs: Periodic in z-direction and finite in x-y plane

被引：18

作者：

Qian, Denghui ^{[1
]}

Shi, Zhiyu ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Aerosp Engn, State Key Lab Mech & Control Mech Struct, Yudao St 29, Nanjing 210016, Jiangsu, Peoples R China

来源：

PHYSICS LETTERS A | 2017年 / 381卷 / 17期

基金：

中国国家自然科学基金;

关键词：

Semi-infinite beam-like phononic crystal; Coupled plane wave expansion and finite element method; Band structure; Applicability and accuracy; WAVE-PROPAGATION; ELEMENT; PLATE; GAPS;

D O I：

10.1016/j.physleta.2017.02.049

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper couples the plane wave expansion (PWE) and finite element (FE) methods to calculate the band structures of the semi-infinite beam-like phononic crystals (PCs) with the infinite periodicity in z-direction and finiteness in x-y plane. Explicit matrix formulations are developed for the calculation of band structures. In order to illustrate the applicability and accuracy of the proposed coupled plane wave expansion and finite element (PWE/FE) method to beam-like PCs, several examples are displayed. At first, PWE/FE method is applied to calculate the band structures of the Pb/rubber beam-like PCs with circular and rectangular cross sections, respectively. Then, it is used to calculate the band structures of steel/epoxy and steel/aluminum beam-like PCs with the same geometric parameters. Last, the band structure of the three-component beam-like PC is also calculated by the proposed method. Moreover, all the results calculated by PWE/FE method are compared with those calculated by finite element (FE) method, and the corresponding results are in good agreement. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：1516 / 1524

页数：9

共 27 条

[1] The usage of standard finite element codes for computation of dispersion relations in materials with periodic microstructure [J].