Abstract

In this study we provide a vibrations analysis analytical solution of a functionally classified nano-plate including porosity, recognised to be porosities within materials with functionally graded grades (FG). In this study, the effects of material characteristics changes, including a ratio of thickness to length, aspect ratio, power law exponent and the porosity impact on FG nano-plate vibration is investigated. Compared to those achieved from other scholars, the latest solutions are. Using the virtual displacements theory, equilibrium equations are obtained. The effects of geometry, material variations of nonlocal FG nano-plates and the porosity effect on their natural frequencies are explored in this study.

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