Indian Journal of Science and Technology

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It is aimed to investigate vibrations of an embedded nanoplate subjected to biaxially applied loads and a moving nanoparticle. To this end, the nanoplate and the moving nanoparticle in order are modeled via nonlocal Kirchhoff plate theory and a rigid body. The mass weight of the moving nanoparticle, and its friction with the upper surface of the nanoplate are taken into account in the proposed model. For a more general study of the problem, the dimensionless equations of motion are obtained. The in- and out-of-plane displacements of the nanoplate are discretized in the space and time using assumed mode and generalized Newmark-β methods, respectively. The roles of the moving nanoparticle velocity, small-scale parameter, biaxially tension forces, and the lateral stiffness of the surrounding medium on the displacements of the nanoplate are addressed and discussed.

Keywords

Biaxially Tensioned Nanoplate, Moving Nanoparticle, Nonlocal Continuum Theory, Kirchhoff Plate Theory
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