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
收藏
页码：510 / 520
页数：11
相关论文
共 63 条
[1]   A size-dependent shear deformation beam model based on the strain gradient elasticity theory [J].
Akgoz, Bekir ;
Civalek, Omer .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2013, 70 :1-14
[2]   Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory [J].
Akgoz, Bekir ;
Civalek, Omer .
MECCANICA, 2013, 48 (04) :863-873
[3]   Free vibration analysis for single-layered graphene sheets in an elastic matrix via modified couple stress theory [J].
Akgoz, Bekir ;
Civalek, Omer .
MATERIALS & DESIGN, 2012, 42 :164-171
[4]   Analysis of micro-sized beams for various boundary conditions based on the strain gradient elasticity theory [J].
Akgoz, Bekir ;
Civalek, Omer .
ARCHIVE OF APPLIED MECHANICS, 2012, 82 (03) :423-443
[5]   Application of strain gradient elasticity theory for buckling analysis of protein microtubules [J].
Akgoz, Bekir ;
Civalek, Omer .
CURRENT APPLIED PHYSICS, 2011, 11 (05) :1133-1138
[6]   Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams [J].
Akgoz, Bekir ;
Civalek, Omer .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2011, 49 (11) :1268-1280
[7]   Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory [J].
Aksencer, Tolga ;
Aydogdu, Metin .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2011, 43 (04) :954-959
[8]  
[Anonymous], 2000, DIFFERENTIAL QUADRAT
[9]   Nonlocal wave propagation in an embedded DWBNNT conveying fluid via strain gradient theory [J].
Arani, A. Ghorbanpour ;
Kolahchi, R. ;
Vossough, H. .
PHYSICA B-CONDENSED MATTER, 2012, 407 (21) :4281-4286
[10]  
Aydogdu M., 2009, MECH RES COMMUN, V43, P34
1234567