Elastic wave and vibration bandgaps in planar square metamaterial-based lattice structures

被引：60
作者：
An, Xiyue [1 ,2 ]
Fan, Hualin [1 ,2 ]
Zhang, Chuanzeng [3 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R China
[2] Hohai Univ, Coll Mech & Mat, Nanjing 210098, Peoples R China
[3] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany
来源：
JOURNAL OF SOUND AND VIBRATION | 2020年 / 475卷
基金：
中国国家自然科学基金;
关键词：
Metamaterial-based lattice structures; Band structures; Vibration attenuation; Spectral element method; ACOUSTIC METAMATERIALS; HOMOGENIZATION; PROPAGATION; DYNAMICS; GAPS;
D O I：
10.1016/j.jsv.2020.115292
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In this work, a new type of planar square lattice structures for the attenuation of elastic wave propagation is proposed and designed. To obtain a high vibration attenuation in low frequency ranges, the internal resonance mechanism of the acoustic metamaterials (AMs) is introduced into the continuous square lattice system with a cross-type core consisting of two segments with a radius jump discontinuity in each unit-cell. The wave propagation and vibration bandgap properties of the AM-based lattice structures are studied by using a spectral element method (SEM) which can provide accurate dynamic characteristics of a lattice structure due to its analytical spectral element matrix. The band structures calculated show that the phononic bandgaps induced by the local resonance and destructive interference co-exist in the considered systems. The effects of the structural and material parameters on the bandgaps are investigated in detail by the frequency response analysis of a spectral element model subjected to a dynamic excitation. Finally, in order to obtain lower and wider frequency bandgaps, the mechanism to optimize the unit-cell of the AM-based lattice structures is illustrated and a composite lattice model is suggested. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：15
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