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Published March 1, 2023 | public
Journal Article

Bio-inspired non self-similar hierarchical elastic metamaterials


Hierarchy provides unique opportunities for the design of advanced materials with superior properties that arise from architecture, rather than from constitutive material response. Contrary to the quasi-static regime, where the potential of hierarchy has been largely explored, its role in vibration mitigation and wave manipulation remains elusive. So far, the majority of the studies concerning hierarchical elastic metamaterials have proposed a self-similar repetition of a specific unit cell at multiple scale levels, leading to the activation of the same bandgap mechanism at different frequencies. On the contrary, here, we show that by designing non self-similar hierarchical geometries allows us to create periodic structures supporting multiple, highly attenuative and broadband bandgaps involving (independently or simultaneously) different scattering mechanisms, namely, Bragg scattering, local resonance and/or inertial amplification, at different frequencies. The type of band gap mechanism is identified and discussed by examining the vibrational mode shapes and the imaginary component of the wavenumber in the dispersion diagram of the unit cell. We also experimentally confirm this by performing measurements in the lowest frequency regime on a 3D printed structure. Hierarchical design strategies may find application in vibration mitigation for civil, aerospace and mechanical engineering.

Additional Information

M. Miniaci is supported by the EU H2020 ERC StG «POSEIDON», Grant Agreement No. 101039576. A. Bergamini, F. Bosia, N.M. Pugno, M. Miniaci are supported by the EU H2020 FET Open «BOHEME», Grant Agreement No. 863179. C. Daraio acknowledges financial support from the Department of Energy under grant DE-SC0021253.

Additional details

August 22, 2023
October 24, 2023