Development of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrations

In this paper, the layered cantilever-in-mass structures (LCIMs) will be theoretically investigated to reveal the effects of the layered structures on band gaps, which have great potential to bring in many useful material properties without much increasing the manufacturing difficulty by stacking th...

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Main Authors: Jun Wang, Xiaoqin Zhou, Rongqi Wang, Jieqiong Lin
Format: Article
Language:English
Published: AIP Publishing LLC 2018-05-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5030043
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spelling doaj-4ce41cbd144346ce9b208eae6c7cd8472020-11-24T22:35:53ZengAIP Publishing LLCAIP Advances2158-32262018-05-0185055222055222-810.1063/1.5030043082805ADVDevelopment of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrationsJun Wang0Xiaoqin Zhou1Rongqi Wang2Jieqiong Lin3School of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaSchool of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaSchool of Electromechanical Engineering, Changchun University of Technology, Changchun 130012, ChinaIn this paper, the layered cantilever-in-mass structures (LCIMs) will be theoretically investigated to reveal the effects of the layered structures on band gaps, which have great potential to bring in many useful material properties without much increasing the manufacturing difficulty by stacking the damped layers or other different component layers. Firstly, the negative effective mass model of LCIMs is derived based on the mass-in-mass model, which is applied to analyze the effective parameters of band gaps in terms of the geometrical features and material properties, the analytical results indicate the negative effective masses of LCIMs depend highly on the material parameter and thicknesses of each constituent layers. Then the LCIMs consist of the same thickness layers are further researched, which has found that their resonance frequency are independent on the layer thickness, and the numeric values of resonance frequencies are between the maximum and minimum local resonance frequency of their constituent layers. To validate the above analytical model, the three-dimensional model and the two-dimensional shell model of LCIMs are constructed in COMSOL Multiphysics. The obtained results show well agreement with the derived model in both the three-dimensional model and shell model. Finally, the dissipative LCIMs modeled by stacking the damped layers and metal layers are studied and discussed.http://dx.doi.org/10.1063/1.5030043
collection DOAJ
language English
format Article
sources DOAJ
author Jun Wang
Xiaoqin Zhou
Rongqi Wang
Jieqiong Lin
spellingShingle Jun Wang
Xiaoqin Zhou
Rongqi Wang
Jieqiong Lin
Development of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrations
AIP Advances
author_facet Jun Wang
Xiaoqin Zhou
Rongqi Wang
Jieqiong Lin
author_sort Jun Wang
title Development of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrations
title_short Development of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrations
title_full Development of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrations
title_fullStr Development of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrations
title_full_unstemmed Development of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrations
title_sort development of dissipative elastic metamaterials based on the layered cantilever-in-mass structure for attenuating the broad spectrum vibrations
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2018-05-01
description In this paper, the layered cantilever-in-mass structures (LCIMs) will be theoretically investigated to reveal the effects of the layered structures on band gaps, which have great potential to bring in many useful material properties without much increasing the manufacturing difficulty by stacking the damped layers or other different component layers. Firstly, the negative effective mass model of LCIMs is derived based on the mass-in-mass model, which is applied to analyze the effective parameters of band gaps in terms of the geometrical features and material properties, the analytical results indicate the negative effective masses of LCIMs depend highly on the material parameter and thicknesses of each constituent layers. Then the LCIMs consist of the same thickness layers are further researched, which has found that their resonance frequency are independent on the layer thickness, and the numeric values of resonance frequencies are between the maximum and minimum local resonance frequency of their constituent layers. To validate the above analytical model, the three-dimensional model and the two-dimensional shell model of LCIMs are constructed in COMSOL Multiphysics. The obtained results show well agreement with the derived model in both the three-dimensional model and shell model. Finally, the dissipative LCIMs modeled by stacking the damped layers and metal layers are studied and discussed.
url http://dx.doi.org/10.1063/1.5030043
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