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Analysis of Bandgap Formation Mechanism Based on the Programmable Curved-Beam Periodic Structure

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Proceedings of 2023 the 6th International Conference on Mechanical Engineering and Applied Composite Materials (MEACM 2023)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 156))

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Abstract

In order to investigate the propagation and isolation mechanisms of elastic waves, we propose a programmable curved beam periodic structure (PCBPS). The PCBPS is assembled by a unit cell containing bistable curved beams, which is equivalent to a spring oscillator system, and is used to analyze the principle of bandgap formation. We employ the finite element method (FEM) and theoretical analysis to validate the proposed equivalent model. By equating the spring oscillator system, we compute closed-form solutions to demonstrate the accuracy and predictability of the dispersion relation. Our results show that the spring-oscillator model can accurately predict the structural bandgap of PCBPS while obtaining the effect of the geometrical parameters of the unit cell on the structural bandgap. The ideas presented and the results obtained have significant potential for designing functional structures and facilitating the practical application of periodic structures for wave insulation and propagation control in different frequency ranges.

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Authors and Affiliations

  1. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Department of Mechanics, School of Mathematics, Statistics and Mechanics, Beijing University of Technology, Beijing, 100124, China

    Hong Cheng & Jia-Jia Mao

Authors
  1. Hong Cheng
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  2. Jia-Jia Mao
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Correspondence to Jia-Jia Mao .

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Editors and Affiliations

  1. Department of Industrial Engineering, Tsinghua University, Beijing, China

    Xiaowei Yue

  2. Department of Materials Science and Engineering, University of Science and Technology Beijing, Beijing, China

    Kunjie Yuan

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Cheng, H., Mao, JJ. (2024). Analysis of Bandgap Formation Mechanism Based on the Programmable Curved-Beam Periodic Structure. In: Yue, X., Yuan, K. (eds) Proceedings of 2023 the 6th International Conference on Mechanical Engineering and Applied Composite Materials. MEACM 2023. Mechanisms and Machine Science, vol 156. Springer, Singapore. https://doi.org/10.1007/978-981-97-1678-4_30

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  • DOI: https://doi.org/10.1007/978-981-97-1678-4_30

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-97-1677-7

  • Online ISBN: 978-981-97-1678-4

  • eBook Packages: EngineeringEngineering (R0)

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