Journal
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Volume 170, Issue -, Pages -Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2022.108836
Keywords
Elastic metamaterials; Nonlinear resonator; Bragg band-gap; Local resonance band-gap; Ultralow frequency; Vibration isolation
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Funding
- National Natural Science Foundation of China [11872037, 11,872,159, 11572182]
- Program of Shanghai Municipal Education Commission [2017-01-07-00-09-E00019]
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This study proposes an approach to explore the band energy structures of elastic metamaterials using the Hamilton principle, Bloch theorem, and finite-element method. Experimental verification on ultralow frequency metamaterials with nonlinear resonators confirms the broadband isolation of longitudinal and transverse waves.
Elastic wave propagation in solids composed of elastic metamaterials always exists as both transverse and longitudinal waves simultaneously. By using the Hamilton principle, Bloch theorem, and finite-element method, an approach is proposed to explore the band energy structures of the metamaterial, this is observed in an experiment on an ultralow frequency metamaterial periodically positioned nonlinear resonators and this means the broadband isolation of both longitudinal and transverse waves was verified. Comparison of the propagation of transverse and longitudinal waves in the ultralow frequency metamaterials, the Bragg band-gaps (BBGs) and local resonance band-gaps (LRBGs) differ with both the frequency of the bandwidth and the depth of the band-gap.
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