Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation

被引：137

作者：

Gurses, Murat ^{[1
]}

Akgoz, Bekir ^{[1
]}

Civalek, Omer ^{[1
]}

机构：

[1] Akdeniz Univ, Fac Engn, Dept Civil Engn, Div Mech, TR-07058 Antalya, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 06期

关键词：

Discrete singular convolution method; Nonlocal elasticity; Geometric mapping; Free vibration; Sector plate; WALLED CARBON NANOTUBES; WAVE-PROPAGATION; RECTANGULAR-PLATES; INTERNAL SUPPORTS; DSC ANALYSIS; ELASTICITY; FORMULATION; SCALE;

D O I：

10.1016/j.amc.2012.09.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present study, free vibration analysis of nano-sized annular sector plate is analyzed using the nonlocal continuum theory. The method of discrete singular convolution (DSC) is used for numerical computations. Firstly, equation of motion of thin plates is formulated via nonlocal elasticity. Then, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation. The DSC procedures are then applied to discretization of the transformed set of governing equations and related boundary conditions. The effects of nonlocal parameter, mode numbers, sector angle and radius ratio on the vibration frequencies are investigated in detail. It is seen that the size effects are significant in vibration analysis of nano-scaled annular sector plates and need to be included in the mechanical model. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：3226 / 3240

页数：15

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