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 are, respectively, considered. The IDVA consists of a spring and an inerter connected to a traditional mass-spring resonator. Compared to the traditional resonators, the special designed IDVAs generate two local-resonance (LR) 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, in addition to the generated two separated LR band gaps, the Bragg band gap can also be significantly broadened and the three band gaps are very close to each other. Being able to amplify inertia, the IDVAs can be relatively light even operated for opening up low-frequency band gaps. When further introducing a dissipative damping mechanism into the IDVA-based metamaterials, the two close-split LR band gaps in the lattice system are 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 adjacent LR and Bragg-scattering band gaps.
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July 2018
Research-Article
Band-Gap Properties of Elastic Metamaterials With Inerter-Based Dynamic Vibration Absorbers
Xiang Fang,
Xiang Fang
Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Search for other works by this author on:
Kuo-Chih Chuang,
Kuo-Chih Chuang
Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Search for other works by this author on:
Xiaoling Jin,
Xiaoling Jin
Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Search for other works by this author on:
Zhilong Huang
Zhilong Huang
Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
e-mail: zlhuang@zju.edu.cn
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
e-mail: zlhuang@zju.edu.cn
Search for other works by this author on:
Xiang Fang
Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Kuo-Chih Chuang
Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Xiaoling Jin
Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
Zhilong Huang
Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
e-mail: zlhuang@zju.edu.cn
Smart Devices of Zhejiang Province,
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou 310027, China
e-mail: zlhuang@zju.edu.cn
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received January 30, 2018; final manuscript received April 5, 2018; published online May 10, 2018. Assoc. Editor: Pedro Reis.
J. Appl. Mech. Jul 2018, 85(7): 071010 (9 pages)
Published Online: May 10, 2018
Article history
Received:
January 30, 2018
Revised:
April 5, 2018
Citation
Fang, X., Chuang, K., Jin, X., and Huang, Z. (May 10, 2018). "Band-Gap Properties of Elastic Metamaterials With Inerter-Based Dynamic Vibration Absorbers." ASME. J. Appl. Mech. July 2018; 85(7): 071010. https://doi.org/10.1115/1.4039898
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