Vibration characteristics of advanced nanoplates in humid-thermal environment incorporating surface elasticity effects via differential quadrature method

Farzad Ebrahimi , Ebrahim Heidari

Abstract

In this study, Eringen nonlocal elasticity theory in conjunction with surface elasticity theory is employed to study nonlinear free vibration behavior of FG nano-plate lying on elastic foundation, on the base of Reddy\'s plate theory. The material distribution is assumed as a power-law function and effective material properties are modeled using Mori-Tanaka homogenization scheme. Hamilton\'s principle is implemented to derive the governing equations which solved using DQ method. Finally, the effects of different factors on natural frequencies of the nano-plate under hygrothermal situation and various boundary conditions are studied.

Key Words

nanomechanics; rectangular plate; hygro-thermo-mechanical; surface effect; generalized differential quadrature method; high shear deformation plate theory; thermal loading; elastic medium; nonlocal

Address

Farzad Ebrahimi and Ebrahim Heidari: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

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