Homogenization theory for designing graded viscoelastic sonic crystals

doi:10.1088/1674-1056/24/2/024303

Abstract In this paper, we propose a homogenization theory for designing graded viscoelastic sonic crystals (VSCs) which consist of periodic arrays of elastic scatterers embedded in a viscoelastic host material. We extend an elastic homogenization theory to VSC by using the elastic-viscoelastic correspondence principle and propose an analytical effective loss factor of VSC. The results of VSC and the equivalent structure calculated by using the finite element method are in good agreement. According to the relation of the effective loss factor to the filling fraction, a graded VSC plate is easily and quickly designed. Then, the graded VSC may have potential applications in the vibration absorption and noise reduction fields.

Keywords: graded sonic crystals homogenization theory viscoelasticity

Received: 18 May 2014
Revised: 22 August 2014
Accepted manuscript online:

PACS:	43.35.Gk	(Phonons in crystal lattices, quantum acoustics)
	83.60.Bc	(Linear viscoelasticity)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2011CB610301).

Corresponding Authors: Pei Yong-Mao, Fang Dai-Ning
E-mail: peiym@pku.edu.cn;fangdn@pku.edu.cn

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Qu Zhao-Liang (曲兆亮), Ren Chun-Yu (任春雨), Pei Yong-Mao (裴永茂), Fang Dai-Ning (方岱宁) Homogenization theory for designing graded viscoelastic sonic crystals 2015 Chin. Phys. B 24 024303

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