Abstract
The narrow band gap width caused by local resonance is the shackle for the further development of conventional metamaterials. In this paper, a novel type of hierarchical metamaterial containing parallel multiple resonators is presented, whose ultra-broadband vibration suppression property originates from a rational gradient design. Characterization of dispersion relations and bandgap characteristics of the one-dimensional outward-hierarchical lattice system reveals the variation of bandgap boundaries with relevant parameters. Thus, two gradient design approaches are proposed to overlap and merge the bandgaps. These designs are verified on the analogous continuum models by finite element simulations, and the ultra-wide wave/vibration attenuation band is consistent with the prediction of band gap diagram. Moreover, the range of the total band gap is determined by the boundary parameters of the gradient design, and its integrity is affected by the setting of gradient interval. In particular, the relationship between the gradient interval setting and the generation of overlapping gaps is analyzed. The gradient outward-hierarchical metamaterial is demonstrated to be an effective solution for elastic wave bandgap engineering, which can also be considered as a complement to existing inward-hierarchical configurations.
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This work is funded by the Priority Academic Program Development of Jiangsu Higher Education Institution. The authors would also like to thank the anonymous reviewers who provided insightful comments and instructive suggestions on earlier versions of this manuscript.
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Liang, X., Zhang, F. & Jiang, J. Ultra-wideband outward-hierarchical metamaterials with graded design. Int J Mech Mater Des 18, 169–184 (2022). https://doi.org/10.1007/s10999-021-09565-7
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DOI: https://doi.org/10.1007/s10999-021-09565-7