An analysis of flexural wave band gaps of locally resonant beams with continuum beam resonators

被引：36

作者：

Wang, Xiaoming ^{[1
,2
]}

Wang, Michael Yu ^{[2
,3
]}

机构：

[1] Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China

[2] Chinese Univ Hong Kong, Dept Mech & Automat Engn, Shatin, Hong Kong, Peoples R China

[3] Natl Univ Singapore, Dept Mech Engn, Singapore 117575, Singapore

来源：

MECCANICA | 2016年 / 51卷 / 01期

关键词：

Locally resonant band gaps; Band gaps; Beam resonators; Phononic crystals;

D O I：

10.1007/s11012-015-0197-x

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Locally-resonant (LR) phononic meta-materials and structures have a potential for wide band-gaps of elastic wave attenuation in low frequency range. In this paper, we investigate a use of continuum beam resonators suspended periodically on an Euler-Bernoulli beam. In a mathematical analysis based on Floquet-Bloch's theorem, we describe the dispersive characteristics of flexural wave attenuation. Our results show richer dispersion properties in the LR structures with periodically attached continuum resonators of distributed degrees of freedom than those with the conventional force-only resonators. In particular, we identify the appearance of a wide composite band gap of local resonance and Bragg-scattering types and its potentials for low-frequency applications.

引用

页码：171 / 178

页数：8

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