Analysis of nonlinear vibration for embedded carbon nanotubes

被引:200
作者
Fu, Y. M. [1 ]
Hong, J. W. [1 ]
Wang, X. Q. [1 ]
机构
[1] Hunan Univ, Dept Engn Mech, Changsha, Hunan, Peoples R China
关键词
D O I
10.1016/j.jsv.2006.02.024
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Based on the continuum mechanics and a multiple-elastic beam model, the nonlinear free vibration of embedded multi-wall carbon nanotubes considering intertube radial displacement and the related internal degrees of freedom is investigated. By using the incremental harmonic balanced method, the iterative relationship of nonlinear amplitude and frequency for the single-wall nanotube and double-wall nanotube are expressed. In the numerical calculation, the amplitude frequency response curves of the nonlinear free vibration for the single-wall and double-wall nanotubes are obtained. The effects of the surrounding elastic medium, van der Waals forces and aspect ratio of the multi-wall nanotubes on the amplitude frequency response characteristics are discussed. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:746 / 756
页数:11
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