Small scale effect on the free vibration of orthotropic arbitrary straight-sided quadrilateral nanoplates

被引：118

作者：

Malekzadeh, P. ^{[1
]}

Setoodeh, A. R. ^{[2
]}

Beni, A. Alibeygi ^{[3
]}

机构：

[1] Persian Gulf Univ, Dept Mech Engn, Bushehr 75168, Iran

[2] Shiraz Univ Technol, Fac Mech & Aerosp Engn, Shiraz, Iran

[3] Persian Gulf Univ, Dept Civil Engn, Bushehr 75168, Iran

来源：

COMPOSITE STRUCTURES | 2011年 / 93卷 / 07期

关键词：

Free vibration; Quadrilateral nanoplates; Small scale effect; Differential quadrature; Nonlocal elasticity theory; NONLOCAL PLATE MODEL; GRAPHENE SHEETS; DIFFERENTIAL QUADRATURE; THERMAL ENVIRONMENTS; ELASTICITY THEORY; CONTINUUM MODELS; EQUATIONS;

D O I：

10.1016/j.compstruct.2011.01.008

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

As a first endeavor, the free vibration of orthotropic arbitrary straight-sided quadrilateral nanoplates is investigated using the nonlocal elasticity theory. The formulation is derived based on the first order shear deformation theory (FSDT). The solution procedure is based on the transformation of the governing equations from physical domain to computational domain and then discretization of the spatial derivatives by employing the differential quadrature method (DQM) as an efficient and accurate numerical tool. The formulation and the method of the solution are firstly validated by carrying out the comparison studies for the isotropic and orthotropic rectangular plates against existing results in literature. Then, the effects of nonlocal parameter in combination with the geometrical shape parameters, thickness-to-length ratio and the boundary conditions on the frequency parameters of the nanoplates are investigated. (C) 2011 Elsevier Ltd All rights reserved.

引用

页码：1631 / 1639

页数：9

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