Abstract
This paper develops a nonlocal strain gradient plate model for vibration analysis of graphene sheet-based mass sensors resting on Winkler–Pasternak medium under hygro-thermal environments. For more accurate analysis of graphene sheets, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. Graphene sheet is modeled via a two-variable shear deformation plate theory needless of shear correction factors. Governing equations of a nonlocal strain gradient graphene sheet on elastic substrate are derived via Hamilton’s principle. Galerkin’s method is implemented to solve the governing equations for different boundary conditions. Effects of different factors such as nanoparticle mass, number of nanoparticles, nonlocal parameter, length scale parameter, hygro-thermal loading and elastic foundation on vibration characteristics of graphene sheets will be investigated.
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