Effect of magnetic-thermal field on nonlinear wave propagation of circular nanoplates

E. Allahyari and M. Asgari

Journal of Electromagnetic Waves and Applications, 2019, vol. 33, issue 17, 2296-2316

Abstract: In this article, an analytical approach is developed to investigate the nonlinear vibrational behavior of an graphene sheet. In order to be a practical instance, the circular nanoplate is also resting on an external Pasternak elastic medium including the Winkler modulus and shear modulus parameters. At the same time, it is subjected to the magnetic field and a thermal load. The modified couple stress theory as well as Eringen nonlocal elasticity theory involving small scale parameters are implemented to justify the size-dependent effects. The governing equations are derived based on von Kármán nonlinear strain–displacement relations. The presented method is verified by comparing the obtained results to their counterparts reported in the published literature. Effects of various parameters such as nonlocal parameters, temperature change, and elastic medium coefficients for different boundary conditions are also discussed. Numerical results reveal that the intrinsic size-dependent property of material increases the natural frequency.

Date: 2019
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DOI: 10.1080/09205071.2019.1677271

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