The Influence of Viscosity on Band Gaps of 2D Phononic Crystal

被引：39

作者：

Wei, P. J. ^{[1
]}

Zhao, Y. P. ^{[1
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Appl Sci, Dept Math & Mech, Beijing 100083, Peoples R China

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2010年 / 17卷 / 06期

基金：

美国国家科学基金会;

关键词：

phononic crystal; band gap; viscoelasticity; plane wave expansion; standard solid model; WAVE EXPANSION METHOD; CONVERGENCE PROBLEM; ELASTIC-WAVES; COMPOSITES; PROPAGATION;

D O I：

10.1080/15376494.2010.483320

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The influence of viscosity on band gaps of 2D phononic crystal is studied in this paper. The standard solid model is used to simulate the viscoelastic behavior of the host material. Cylindrical fillers embedded in the host are still assumed elastic material. The band gap problem of phononic crystal leads to a mathematical eigenvalue problem by using the plane wave expansion method and the Bloch-Floquet wave theory. An iterative algorithm is designed to obtain some wave bands due to the dependence of Lame coefficients on the frequency for the viscoelastic host. A numerical example is given for the steel/epoxy phononic crystal. Band gaps are evaluated for different viscoelastic parameters. It is found that the viscosity of host material affects not only the location but also the width of band gaps.

引用

页码：383 / 392

页数：10

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