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Structural Design and Band Gap Properties of 3D Star-Shaped Single-Phase Metamaterials

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Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Purpose

Vibration and noise usually propagate in the form of elastic waves in periodic structure. Using the band gap characteristics of metamaterials to control vibration and noise has important application prospects. This research provides a new method for the design and development of 3D single-phase metamaterials for low frequency and wide band gap vibration and noise reduction.

Methods

In this study, we propose a single-phase 3D star metamaterial and use the finite element method to study the elastic wave propagation characteristics.

Results

The simulation results show that the 3D star metamaterials form multiple wide and almost continuous band gaps at low frequency domain. By changing the geometric parameters of the unit cell, such as the length and concave angle of the diverging ribs, the variation of band gaps are studied. Then, in order to understand the mechanism of band gap generation, we simulated the mode shapes of unit cells and we find that the local resonance formed by the bending deformation of the beam on the x or y direction panel of the structure and the traveling wave coupling in the matrix are the main reasons for the low frequency band gap. In addition, the frequency response function of the finite structure is calculated, and the attenuation peak of the frequency response curve is consistent with the band gap to verify the correctness of the results.

Conclusion

The research of this paper provides a new strategy for the design and development of low-frequency vibration and noise reduction materials and devices.

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Funding

This study was funded by the National Natural Science Foundation of China (Grant Nos. 12021002, 12072222, 12132010, 11991032), the State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures (Grant No. SKLTESKF1901) and the Aeronautical Science Foundation of China (Grant No. ASFC-201915048001) and the Central University Fund (3122019075).

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Authors and Affiliations

  1. Aeronautical Engineering Institute, Civil Aviation University of China, Tianjin, China

    Fen Yu, Yueli Huo, Zhenpeng He & Aijun Sun

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

    Qian Ding, Yongtao Sun & Haoqiang Gao

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

    Cong Wang & Jinxin Yao

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

    Yongtao Sun

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  1. Fen Yu
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  2. Yueli Huo
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  3. Qian Ding
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  4. Cong Wang
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  9. Aijun Sun
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Correspondence to Zhenpeng He or Yongtao Sun.

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Conflict of interest

Fen Yu, Yueli Huo, Qian Ding, Cong Wang, Jinxin Yao, Zhenpeng He, Yongtao Sun, Haoqiang Gao, and Aijun Sun declares that they have no conflict of interest.

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Yu, F., Huo, Y., Ding, Q. et al. Structural Design and Band Gap Properties of 3D Star-Shaped Single-Phase Metamaterials. J. Vib. Eng. Technol. 10, 863–871 (2022). https://doi.org/10.1007/s42417-021-00415-6

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  • DOI: https://doi.org/10.1007/s42417-021-00415-6

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