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
收藏
页码：149 / 159
页数：11
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