Response invariance in a lattice of bistable elements with elastic interactions

Myungwon Hwang; Andres F. Arrieta

doi:10.1117/12.2303422

15 March 2018 Response invariance in a lattice of bistable elements with elastic interactions

Myungwon Hwang, Andres F. Arrieta

Proceedings Volume 10595, Active and Passive Smart Structures and Integrated Systems XII; 105950X (2018) https://doi.org/10.1117/12.2303422
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2018, Denver, Colorado, United States

Abstract

In this study, the dynamics of a lattice of bistable elements connected by linear springs are investigated with emphasis on the spatial dependence of the response profiles created by the nonlinear transition wave. We address the difficulty in creating a permanent-form transition wave in real-world settings even though such a solution theoretically exists and explain how to utilize the speed difference in wave propagation to minimize this undesirable behavior through numerical investigations. We further introduce dissipative elements along with asymmetric on-site potentials to the baseline lattice and show that almost perfect response invariance can be achieved, where the response is not only spatially independent but also input-independent.

Citation Download Citation

Myungwon Hwang and Andres F. Arrieta "Response invariance in a lattice of bistable elements with elastic interactions", Proc. SPIE 10595, Active and Passive Smart Structures and Integrated Systems XII, 105950X (15 March 2018); https://doi.org/10.1117/12.2303422

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