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Multi-resonator coupled metamaterials for broadband vibration suppression

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Abstract

In this study, multi-resonator coupled metamaterials (MRCMs) with local resonators are proposed to obtain the multiple and wide band gaps. Kinetic models of the MRCMs are established, and the boundary conditions of the unit cell are obtained with Bloch’s theorem. The effects of structural parameters, including the mass of the resonator and the spring stiffness, on the distributions of the band gaps are studied. Furthermore, the frequency domain responses and the time domain responses are calculated for analyzing the structural vibration characteristics and the effects of damping on structural vibration. The results show that the frequency domain response can accurately express the distributions of the band gaps of the MRCMs, and we can increase the number and the width of the band gaps by using the MRCMs for the superior vibration suppression capability.

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Authors and Affiliations

  1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710072, China

    Pengcheng Zhao, Kai Zhang, Cheng Zhao & Zichen Deng

  2. MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi’an, 710072, China

    Pengcheng Zhao, Kai Zhang, Cheng Zhao & Zichen Deng

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  1. Pengcheng Zhao
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  2. Kai Zhang
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  4. Zichen Deng
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Correspondence to Kai Zhang.

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Project supported by the National Natural Science Foundation of China (Nos. 11872313 and 11902045), the National Key R&D Program of China (No. 2017YFB1102801), the Fundamental Research Fund for the Central Universities, and the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University (No. CX2020107)

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Zhao, P., Zhang, K., Zhao, C. et al. Multi-resonator coupled metamaterials for broadband vibration suppression. Appl. Math. Mech.-Engl. Ed. 42, 53–64 (2021). https://doi.org/10.1007/s10483-021-2684-8

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  • DOI: https://doi.org/10.1007/s10483-021-2684-8

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