Study of Small Scale Effect on Nonlinear Vibration of Nano-Plates

被引：14

作者：

Jomehzadeh, E. ^{[1
,2
]}

Saidi, A. R. ^{[1
,3
]}

机构：

[1] Shahid Bahonar Univ Kerman, Dept Mech Engn, Kerman 7615133, Iran

[2] Islamic Azad Univ, Young Researchers Club, Kerman Branch, Kerman 7635131167, Iran

[3] Virginia Polytech Inst & State Univ, Dept Engn Sci & Mech, Blacksburg, VA 24061 USA

来源：

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2012年 / 9卷 / 06期

关键词：

Small Scale; Nonlinear Vibration; Nano-Plate; Nonlocal Continuum; NONLOCAL ELASTICITY THEORY; GRAPHENE SHEET; DEFORMATION; BEAMS;

D O I：

10.1166/jctn.2012.2108

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In the present article, nonlinear free and forced vibration analyses of nano-plates are presented based on the nonlocal elasticity theory. Using the Hamilton's principle, three coupled nonlinear equations of motion are obtained based on the von Karman geometrical model and Eringen theory of nonlocal continuum. The solutions of free and forced nonlinear vibrations, based on a one term mode shape, are found for both simply supported and clamped nano-plates. A complete analysis of nano-plates with movable as well as immovable in-plane conditions is also carried out. The results obtained herein are compared with those available in the literature for classical isotropic rectangular plates and excellent agreement is seen. Also, the nonlinear effects are presented as functions of geometric properties and small scale parameter.

引用

页码：864 / 871

页数：8

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