Eur. Phys. J. Plus (2017) 132: 172
https://doi.org/10.1140/epjp/i2017-11400-6

Regular Article

Surface effects on nonlinear dynamics of NEMS consisting of double-layered viscoelastic nanoplates

Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

^* e-mail: febrahimy@eng.ikiu.ac.ir

Received: 22 July 2016
Accepted: 5 February 2017
Published online: 14 April 2017

Abstract

The nonlinear flexural vibration behavior of double-layered viscoelastic nanoplates including surface effects is investigated based on nonlocal elasticity theory. Using nonlinear strain-displacement relations, the geometrical nonlinearity is modeled. To derive the governing equations, nonlocal plate theory and Hamilton's principle are employed and also to obtain the nonlinear eigenvalues, the differential quadrature method (DQM) is utilized. In particular, surface effects, including surface elasticity, residual surface stress and surface density, are considered. The detailed parametric study is conducted, focusing on the influences of nonlocal effect, aspect ratio of the plate, elastic foundation, Van der Walls (vdW) interaction, temperature and the viscidity of the plate. The influence of the viscoelastic coefficient is also discussed. Results are compared and validated with available studies, and a good agreement is seen. After validation of the present study, various plots for the nonlinear-to-linear frequencies against amplitude-to-thickness ratio and thickness for double visco-nanoplates are presented.