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New periodic lattice model with specific vibration absorption patterns at resonant frequencies

共振频率下具有特定振动吸收模式的周期性晶格模型

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Abstract

A new three-dimensional periodic lattice is proposed and analyzed in this study. The Adomian decomposition method (ADM) is implemented as an analytical method to calculate the first three complete vibration band gaps of the proposed lattice. Verification of the analytical method and also the calculation of natural frequencies are performed by using the ANSYS software. Results show that a considerable number of natural frequencies are located within the band gaps for all geometries of this structure. The forced harmonic responses at these resonant frequencies show that unlike other periodic structures, the vibration waves with high amplitudes can be concentrated at different areas of the structure rather than just at the excitation points. In other words, specific vibration absorption patterns can be observed at resonance. This lattice can be practically used in cases in which the resonance phenomenon should be limited in a certain area of the structure and also in cases in which the resonance should not occur around the excitation points.

摘要

本文提出并分析了一种新的三维周期性晶格. Adomian分解法(ADM)是一种分析方法, 用于计算所提出的晶格的前三个完整振 动带隙. 使用ANSYS软件对分析方法进行验证以及固有频率的计算. 结果表明, 对于该结构的所有几何形状, 相当数量的固有频率都位 于带隙内. 这些谐振频率下的强制谐波响应表明, 与其他周期性结构不同, 高振幅的振动波可以集中在结构的不同区域, 而不仅仅是在 激励点. 换句话说, 在共振时可以观察到特定的振动吸收模式. 该晶格实际上可用于共振现象应限制在结构的某个区域的情况, 以及共 振不应发生在激励点周围的情况.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

    Mohammad Hajhosseini & Zeinab Zeinalizadeh

Authors
  1. Mohammad Hajhosseini
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  2. Zeinab Zeinalizadeh
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Contributions

Mohammad Hajhosseini contributed to conceptualization, project administration, resources, supervision, methodology, validation, writing review and editing. Zeinab Zeinalizadeh contributed to data curation, investigation, formal analysis, software, visualization, and writing original draft preparation.

Corresponding author

Correspondence to Mohammad Hajhosseini.

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Hajhosseini, M., Zeinalizadeh, Z. New periodic lattice model with specific vibration absorption patterns at resonant frequencies. Acta Mech. Sin. 39, 522463 (2023). https://doi.org/10.1007/s10409-023-22463-x

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  • DOI: https://doi.org/10.1007/s10409-023-22463-x

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