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Tunable ultralow frequency wave attenuations in one-dimensional quasi-zero-stiffness metamaterial

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Abstract

Metamaterials are artificially structured materials that enable wave attenuation in band gaps. However, opening an ultralow-frequency band gap is still a challenge, since it is hard to realize near-zero stiffness in a traditional way. In this paper, a one-dimensional tunable quasi-zero-stiffness (QZS) metamaterial is engineered for ultralow-frequency (about a few tens Hertz) wave attenuation. Design optimization on the configuration of this new metamaterial is conducted to achieve quasi-zero stiffness. The dispersion relation is derived theoretically based on a lumped diatomic chain model, and then the band structure is revealed. The characteristics of longitudinal wave propagation in the metamaterial are studied by both numerical analyses and FE simulations, which are also validated by experimental tests. The results indicate that the stiffness is deformation-related, and the band gap can be tuned substantially by just changing the pre-compression. Therefore, the quasi-zero stiffness and then the ultralow-frequency band gap can be fulfilled by pre-compressing the metamaterial properly.

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Acknowledgements

The authors gratefully acknowledge the support from the National Key R&D Program of China (2017YFB1102801), the National Natural Science Foundation of China (11972152) and the Laboratory of Science and Technology on Integrated Logistics Support.

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Correspondence to Jiaxi Zhou.

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Zhou, J., Pan, H., Cai, C. et al. Tunable ultralow frequency wave attenuations in one-dimensional quasi-zero-stiffness metamaterial. Int J Mech Mater Des 17, 285–300 (2021). https://doi.org/10.1007/s10999-020-09525-7

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  • DOI: https://doi.org/10.1007/s10999-020-09525-7

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