Article
Discrete breathers in a mechanical metamaterial
Author/s | Duran, Henry
Cuevas-Maraver, Jesús Kevrekidis, Panayotis G. Vainchtein, Anna |
Department | Universidad de Sevilla. Departamento de Física Aplicada I |
Publication Date | 2023-01 |
Deposit Date | 2023-02-23 |
Published in |
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Abstract | We consider a previously experimentally realized discrete model that describes a mechanical metamaterial
consisting of a chain of pairs of rigid units connected by flexible hinges. Upon analyzing the linear band structure
of ... We consider a previously experimentally realized discrete model that describes a mechanical metamaterial consisting of a chain of pairs of rigid units connected by flexible hinges. Upon analyzing the linear band structure of the model, we identify parameter regimes in which this system may possess discrete breather solutions with frequencies inside the gap between optical and acoustic dispersion bands. We compute numerically exact solutions of this type for several different parameter regimes and investigate their properties and stability. Our findings demonstrate that upon appropriate parameter tuning within experimentally tractable ranges, the system exhibits a plethora of discrete breathers, with multiple branches of solutions that feature period-doubling and symmetry-breaking bifurcations, in addition to other mechanisms of stability change such as saddle-center and Hamiltonian Hopf bifurcations. The relevant stability analysis is corroborated by direct numerical computations examining the dynamical properties of the system and paving the way for potential further experimental exploration of this rich nonlinear dynamical lattice setting. |
Funding agencies | EU (FEDER Program No. 2014-2020) through both Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía Project No. P18-RT-3480 EU (FEDER Program No. 2014-2020) through both Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía Project No. US-1380977 MCIN/AEI/10.13039/501100011033 Project No. PID2019-110430GB-C21 MCIN/AEI/10.13039/501100011033 Project No. PID2020-112620GB-I00 |
Project ID. | FEDER P18-RT-3480
FEDER US-1380977 PID2019-110430GB-C21 PID2020-112620GB-I00 |
Citation | Duran, H., Cuevas-Maraver, J., Kevrekidis, P.G. y Vainchtein, A. (2023). Discrete breathers in a mechanical metamaterial. Physical Review E, 107 (1), 014220. https://doi.org/10.1103/PhysRevE.107.014220. |
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