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Inertial amplification band-gap generation by coupling a levered mass with a locally resonant mass
International Journal of Mechanical Sciences, Volume: 207, Start page: 106630
Swansea University Author: Sondipon Adhikari
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DOI (Published version): 10.1016/j.ijmecsci.2021.106630
Abstract
Inertial amplification has been utilized in phononic media as a mechanism for the generation of large band gaps at low subwavelength frequencies. A unique feature in an inertial-amplification band gap is that it may exhibit two coupled peaks in the imaginary wavenumber portion of its band diagram. T...
| Published in: | International Journal of Mechanical Sciences |
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| ISSN: | 0020-7403 |
| Published: |
Elsevier BV
2021
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa57264 |
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| Abstract: |
Inertial amplification has been utilized in phononic media as a mechanism for the generation of large band gaps at low subwavelength frequencies. A unique feature in an inertial-amplification band gap is that it may exhibit two coupled peaks in the imaginary wavenumber portion of its band diagram. This unique double-attenuation band gap has been shown to emerge from a periodic arrangement of a levered mass whose motion is directly connected to that of an independent degree of freedom in the system through the motion of the lever base. Here we demonstrate a double-attenuation band gap emerging from a modal coupling of the levered mass with a conventional local-resonance mass separately attached to the base. This presents a fundamentally distinct mechanical mechanism for the shaping of inertially-amplified band gaps and provides a pathway for realising a combination of strength and breadth in the wave attenuation characteristics. We theoretically present this concept, analytically identify critical conditions for the coupling of the attenuation peaks, and provide a series of parametric sweeps to further highlight the phenomenon and guide design. For example, we find a design with a relatively elevated level of minimum attenuation over practically the entire width of a band gap with a relative size of , and another design with a smaller band gap but a 15-fold increase in the minimum attenuation strength compared to a pure IA chain. |
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| Keywords: |
elastic metamaterials, inertial amplification, local resonance, band gaps, elastic waves, vibration attenuation |
| College: |
Faculty of Science and Engineering |
| Start Page: |
106630 |