This paper is concerned with the use of the Timoshenko beam model for free vibration analysis of multi-walled carbon nanotubes (CNTs). Unlike the Euler beam model, the Timoshenko beam model allows for the effects of transverse shear deformation and rotary inertia. These effects become significant fo
Analysis of nonlinear vibration for embedded carbon nanotubes
โ Scribed by Y.M. Fu; J.W. Hong; X.Q. Wang
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 203 KB
- Volume
- 296
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
Based on the continuum mechanics and a multiple-elastic beam model, the nonlinear free vibration of embedded multiwall 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.
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