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IssuesArchive of Issues2024-1pp.431-444

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Zhenkun Guo, Yuhua Wei, Ting Dong, Xinhua Chen, and Guoqing Jiang, "Ultra-Low-Frequency Vibration Attenuation Characteristics of Multi-Span Metamaterial Dual-Beam Structures," Mech. Solids. 59 (1), 431-444 (2024)
Year 2024 Volume 59 Number 1 Pages 431-444
DOI 10.1134/S0025654423602227
Title Ultra-Low-Frequency Vibration Attenuation Characteristics of Multi-Span Metamaterial Dual-Beam Structures
Author(s) Zhenkun Guo (Beijing Key Laboratory of Performance Guarantee on Urban Rail Transit Vehicles, Beijing University of Civil Engineering and Architecture, Beijing, 102616 China, guozhenkun@bucea.edu.cn)
Yuhua Wei (Beijing Key Laboratory of Performance Guarantee on Urban Rail Transit Vehicles, Beijing University of Civil Engineering and Architecture, Beijing, 102616 China, 2108020022007@stu.bucea.edu.cn)
Ting Dong (School of Mechanical Engineering, Beijing Institute of Technology, Beijing, 100081 China, dongtingB2016@163.com)
Xinhua Chen (Beijing Key Laboratory of Performance Guarantee on Urban Rail Transit Vehicles, Beijing University of Civil Engineering and Architecture, Beijing, 102616 China, chenxinhua@bucea.edu.cn)
Guoqing Jiang (School of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, 310018 China, jiangguoqing@zstu.edu.cn)
Abstract In this work, a novel multi-span metamaterial dual-beam (MMDB) structure is proposed for the effective suppression of ultra-low-frequency vibrations in beam structures. The MMDB is composed of a periodic array of units, with each simply supported unit including beams at the top and bottom, and a spring-mass-spring resonator connecting two beams. For analyzing the dynamic behavior of the MMDB, the spectral element method (SEM) is utilized to establish a dynamic model. A comparative analysis is conducted with a traditional metamaterial dual-beam model, highlighting the advantages of the proposed MMDB. The vibration transmittance of the MMDB under base excitation is analyzed, during which the bandgap frequency beginning from zero is generated. The MMDB is further modeled by the finite element method (FEM), and the simulation results of transmittance agree well with those obtained through SEM, validating the effectiveness of the utilized approach. The band structure of the MMDB structure is further obtained and local resonance and Bragg bandgaps are simultaneously found. Subsequently, parameter study is conducted to investigate the effects of material and geometry parameters on the bandgap characteristics of the MMDB. This work provides valuable guidelines for the design of multi-layer beam structures aimed at efficiently suppressing vibrations within the ultra-low-frequency range.
Keywords multi-span metamaterial dual-beam, ultra-low-frequency, spectral element method, local resonance bandgap, Bragg bandgap
Received 01 November 2023Revised 23 January 2024Accepted 21 February 2024
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