Free vibration analysis of nano-plate using three-dimensional theory of elasticity

被引：43

作者：

Alibeigloo, A. ^{[1
]}

机构：

[1] Tarbiat Modares Univ, Dept Mech Engn, Tehran 14115143, Iran

来源：

ACTA MECHANICA | 2011年 / 222卷 / 1-2期

关键词：

NONLOCAL ELASTICITY;

D O I：

10.1007/s00707-011-0518-7

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Vibration analysis of a nano-plate, based on three-dimensional theory of elasticity, is studied employing non-local continuum mechanics. By using state-space method in the thickness direction and Fourier series in the in-plane directions, a closed form solution for the natural frequencies of a rectangular simply supported nano-plate is obtained. To verify the accuracy of the present approach, numerical results are compared with the results available in the literature. The effect of the non-local parameter, aspect ratio, thickness-to-length ratio and half-wave numbers in the frequency behavior is examined.

引用

页码：149 / 159

页数：11

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