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Band Gap Mechanism and Design of a New Type of Six-Ligament Chiral Structure

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Abstract

Achieving low-frequency and wide band gaps with a simple and small structure can be a challenging task. In this paper, a new type of six-ligament chiral structure with simple geometric parameters and smaller geometric dimensions is designed. The side length of the chiral unit cell is only 20 mm. The proposed structure and the design idea it embodies may be of assistance to deal with the challenges mentioned above. A numerical simulation is performed to analyze the relationship between the geometric parameters and band gap characteristics of the structure. Based on this relationship, a geometrically optimized structure is proposed and the simulation results show it has better band gap characteristics which can achieve low-frequency and wide band gaps. Moreover, frequency response analysis is used to verify the accuracy of the simulation. Finally, the band gap mechanism is analyzed by analyzing the mode diagrams of the structure.

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Funding

This project was supported by the National Natural Science of China (Grant No. 61690222, 12072222, 12021002, 11991032), the State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures (Grant No. SKLTESKF1901), the Aeronautical Science Foundation of China (Grant No. ASFC-201915048001) and the Project of Tianjin Natural Science Foundation (No.18JCQNJC05400).

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Authors and Affiliations

  1. Key Laboratory of Green Construction and Intelligent Maintenance for Civil Engineering of Hebei Province, Yanshan University, Qinhuangdao, China

    Yajun Xin & Ran Wang

  2. Hebei Province Low-Carbon and Clean Building Heating Technology Innovation Center, Yanshan University, Qinhuangdao, China

    Yajun Xin

  3. Department of Mechanics and Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin, China

    Yongtao Sun & Qian Ding

  4. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Yongtao Sun

  5. Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structure of Hebei Province, Yanshan University, Qinhuangdao, China

    Shuliang Cheng

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  1. Yajun Xin
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  2. Ran Wang
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  3. Yongtao Sun
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  4. Qian Ding
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Correspondence to Shuliang Cheng.

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Xin, Y., Wang, R., Sun, Y. et al. Band Gap Mechanism and Design of a New Type of Six-Ligament Chiral Structure. Acoust Aust 50, 41–48 (2022). https://doi.org/10.1007/s40857-021-00249-y

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  • DOI: https://doi.org/10.1007/s40857-021-00249-y

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