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research-article

Band-Gap Properties of Elastic Metamaterials with Inerter-Based Dynamic Vibration Absorbers

[+] Author and Article Information
Xiang Fang

Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China
11424018@zju.edu.cn

Kuochih Chuang

Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China
chuangkc@zju.edu.cn

Xiao-ling Jin

Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China
xiaolingjin@zju.edu.cn

Z. L. Huang

Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Department of Engineering Mechanics, Zhejiang University, Hangzhou, 310027, China
zlhuang@zju.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4039898 History: Received January 30, 2018; Revised April 05, 2018

Abstract

In this paper, inerter-based dynamic vibration absorbers (IDVAs) are applied in elastic metamaterials to broaden low-frequency band gaps. A discrete mass-spring lattice system and a distributed metamaterial beam carrying a periodic array of IDVAs is respectively considered. Unlike traditional local resonators, the proposed IDVAs generate two local-resonance band gaps for the discrete lattice system, a narrow low-frequency band gap and a wider high-frequency one. For the distributed IDVA-based metamaterial beam, other than the generated two separated local-resonance band gaps, the Bragg band gap can also be significantly broadened. When further introducing a dissipative damping mechanism into the IDVA-based metamaterials, the two close split local-resonance band gaps in the lattice system can be merged into one wide band gap. As for the metamaterial beam with the dissipative IDVAs, an even wider band gap can be acquired due to the overlap of the local-resonance and Bragg-scattering band gaps. This work shows that the IDVA-based metamaterials can possess much wider band gaps than the traditional local resonator-based metamaterials.

Copyright (c) 2018 by ASME
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