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An analysis of flexural wave band gaps of locally resonant beams with continuum beam resonators

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Abstract

Locally-resonant (LR) phononic meta-materials and structures have a potential for wide band-gaps of elastic wave attenuation in low frequency range. In this paper, we investigate a use of continuum beam resonators suspended periodically on an Euler–Bernoulli beam. In a mathematical analysis based on Floquet–Bloch’s theorem, we describe the dispersive characteristics of flexural wave attenuation. Our results show richer dispersion properties in the LR structures with periodically attached continuum resonators of distributed degrees of freedom than those with the conventional force-only resonators. In particular, we identify the appearance of a wide composite band gap of local resonance and Bragg-scattering types and its potentials for low-frequency applications.

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Acknowledgments

This work was supported in part by the Research Grants Council of Hong Kong SAR (Project No. CUHK417213) and by the Shun Hing Institute of Advanced Engineering of The Chinese University of Hong Kong (Project #RNE-p1-12).

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Authors and Affiliations

  1. School of Mechanical Engineering, Dalian University of Technology, Dalian, 116024, China

    Xiaoming Wang

  2. Department of Mechanical Engineering, National University of Singapore, Singapore, 117575, Singapore

    Michael Yu Wang

  3. Department of Mechanical and Automation Engineering, Chinese University of Hong Kong, Shatin, NT, Hong Kong

    Xiaoming Wang & Michael Yu Wang

Authors
  1. Xiaoming Wang
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  2. Michael Yu Wang
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Correspondence to Michael Yu Wang.

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Wang, X., Wang, M.Y. An analysis of flexural wave band gaps of locally resonant beams with continuum beam resonators. Meccanica 51, 171–178 (2016). https://doi.org/10.1007/s11012-015-0197-x

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  • DOI: https://doi.org/10.1007/s11012-015-0197-x

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