The size-dependent vibration analysis of micro-plates based on a modified couple stress theory

被引：259
|
作者：
Jomehzadeh, E. [1 ]
Noori, H. R. [2 ]
Saidi, A. R. [2 ]
机构：
[1] Shahid Bahonar Univ Kerman, Young Researchers Soc, Kerman, Iran
[2] Shahid Bahonar Univ Kerman, Dept Mech Engn, Kerman, Iran
来源：
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2011年 / 43卷 / 04期
关键词：
ELASTICITY;
D O I：
10.1016/j.physe.2010.11.005
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
A microscale vibration analysis of micro-plates is developed based on a modified couple stress theory. The presence of the length scale parameter in this theory enables us to describe the size effect in micro-structures. A variational approach based on Hamilton's principle is employed to obtain the governing equations of motion. To illustrate the new model, the free vibration analysis of a rectangular micro plate with two opposite edges simply supported and arbitrary boundary conditions along the other edges and a circular micro-plate are considered. The natural frequencies of micro-plates are presented for over a wide range of length scale parameters, different aspect ratios and various boundary conditions for both rectangular and circular micro-plates. The effect of length scale parameter on natural frequencies of micro-plates are discussed in details and the numerical results reveal that the intrinsic size dependence of material leads to increase the natural frequency. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：877 / 883
页数：7
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