2020/05/02 by Yuriy Ostapov, Ostapov, Yuriy
Engineering · Physics and Astronomy · #Advanced Fiber Optic Sensors #Classical Physics (physics.class-ph) #FOS: Physical sciences #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Photonic and Optical Devices
paper · pdf · doi:10.48550/arxiv.2005.03758
openalex publication_date 2020/05/02 · openalex created_date 2020/05/13 · openalex updated_date 2026/07/28
The paper studies oscillations of graphene plates under the hypothesis that deformations are much more than the thickness of plate. In this most realistic case the oscillations are described by the system of nonlinear partial differential equations (the Foppl-von Karman equations). This system is reduced to one nonlinear ordinary differential equation and investigated by means of the Bogoliubov-Mitropolsky asymptotic methods. As a result, we have the real frequency spectrum for rectangular graphene plates. Next we have examined the nonlinear resonance effects under forced oscillations. These outcomes can apply for variable strain-induced pseudomagnetic fields. Such fields permit better to understand the properties of flexural phonons connected with transport process. Resonance phenomena play a leading role in application of graphene plates in engineering constructions.