Application of the method of multiple scales to unravel energy exchange in nonlinear locally resonant metamaterials

2018/11/19 by Priscilla Brandão Silva, Michael J. Leamy, Silva, P. B. +5
Engineering · Materials Science · #Acoustic Wave Phenomena Research #Applied Physics (physics.app-ph) #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Metamaterials and Metasurfaces Applications #Microwave Engineering and Waveguides

paper · pdf · doi:10.48550/arxiv.1812.05713

openalex publication_date 2018/11/19 · openalex created_date 2018/12/22 · openalex updated_date 2026/07/28

Abstract

In this paper, the effect of weak nonlinearities in 1D locally resonant metamaterials is investigated via the method of multiple scales. Commonly employed to the investigate the effect of weakly nonlinear interactions on the free wave propagation through a phononic structure or on the dynamic response of a Duffing oscillator, the method of multiple scales is here used to investigate the forced wave propagation through locally resonant metamaterials. The perturbation approach reveals that energy exchange may occur between propagative and evanescent waves induced by quadratic nonlinear local interaction.

Citations

• Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook

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