Numerical study of the effect of shear in-plane load on the vibration analysis of graphene sheet embedded in an elastic medium

被引：60

作者：

Mohammadi, M. ^{[1
,2
]}

Farajpour, A. ^{[3
]}

Goodarzi, M. ^{[1
]}

Pour, H. Shehni Nezhad ^{[1
]}

机构：

[1] Islamic Azad Univ, Ahvaz Branch, Dept Engn, Ahvaz, Iran

[2] Isfahan Univ Technol, Dept Mech Engn, Esfahan 8415683111, Iran

[3] Islamic Azad Univ, North Tehran Branch, Young Res & Elites Club, Tehran, Iran

来源：

COMPUTATIONAL MATERIALS SCIENCE | 2014年 / 82卷

关键词：

Vibration; Graphene sheet; Differential quadrature method; Galerkin method; RECTANGULAR-PLATES; DIFFERENTIAL QUADRATURE; NONLOCAL ELASTICITY; THERMOMECHANICAL VIBRATION; BUCKLING ANALYSIS; BENDING ANALYSES; BEAM THEORY; PLASTICITY; HDQ;

D O I：

10.1016/j.commatsci.2013.10.022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the present work, the free vibration behavior of rectangular graphene sheet under shear in-plane load is studied. Nonlocal elasticity theory has been implemented to study the vibration analysis of orthotropic single-layered graphene sheets (SLGSs) subjected to shear in-plane load. Using the principle of virtual work, the governing equations are derived for the rectangular nanoplates. Differential quadrature method is employed and numerical solutions for the vibration frequency are obtained. To verify the accuracy of the present results, the Galerkin method is also developed. DQM results are successfully verified with those of the Galerkin method. The influence of surrounding elastic medium and effect of boundary conditions on the vibration analysis of orthotropic single-layered graphene sheets (SLGSs) is studied. Six boundary conditions are investigated. Numerical results show that the vibration frequencies of SLGSs are strongly dependent on the small scale coefficient and shear in-plane load. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：510 / 520

页数：11

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