期刊
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
卷 77, 期 -, 页码 348-363出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2015.09.013
关键词
Graded nanobeam; Eringen's non-local model; Method of Multiple Scales (MMS); Variational iteration method (VIM)
类别
资金
- Texas A&M University at Qatar
- Oscar S. Wyatt Endowed Chair
We consider in this paper the free and forced vibration response of simply-supported functionally graded (FG) nanobeams resting on a non-linear elastic foundation. The two-constituent Functionally Graded Material (FGM) is assumed to follow a power-law distribution through the beam thickness. Eringen's non-local elasticity model with material length scales is used in conjunction with the Euler Bernoulli beam theory with von Karman geometric non-linearity that accounts for moderate rotations. Non-linear natural frequencies of non-local FG nanobeams are obtained using He's Variational Iteration Method (VIM) and the direct and discretized Method of Multiple Scales (MMS), while the primary resonance analysis of an externally forced non-local FG nanobeam is performed only using the MMS. The effects of the non-local parameter, power-law index, and the parameters of the non-linear elastic foundation on the non-linear frequency-response are investigated. (C) 2015 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据