Vibrational properties of single-walled carbon nanotubes embedded in an elastic medium in thermal environment. (12th December 2014)

• Record Type: Journal Article
• Authors: Li, Ming; Zheng, Huiming; Luo, Xia
• Is Part Of: International journal of nanomanufacturing. Volume 10:Number 5/6(2014)
• Page Start: 453
• Page End: 465
• Publication Date: 2014-12-12
• Subjects: vibrational properties -- single-walled carbon nanotubes -- SWCNT -- elastic medium -- thermal environment -- non-local boundary condition -- exact solution -- resonant frequency -- vibrational mode shapes -- cantilever beam -- Euler-Bernoulli beams theory -- nanomanufacturing; Nanostructured materials industry -- Periodicals; Nanotechnology -- Periodicals; 620.505
• Languages: English
• ISSNs: 1746-9392

Abstract

In this paper, a non-local Euler-Bernoulli beam model has been developed to analyse the thermal vibration of single-walled carbon nanotubes (SWCNT). Further, the SWCNT is assumed to be embedded in an elastic medium. A Winkler-type elastic foundation is employed to model the interaction of the SWCNT and the surrounding elastic medium. The non-local elasticity takes into account the effect of small size into the formulation and the boundary condition. With exact solution of the dynamic governing equations, the thermal-vibrational characteristics of a cantilever SWCNT are obtained. Influence of non-local small scale effects, temperature change, Winkler constant and geometrical parameters of the SWCNT on the frequency and vibration mode shapes are investigated. The present study shows that the additional boundary conditions from small scale would change natural frequencies at different temperature change. However, with the additional boundary conditions, the non-local model-frequencies are always independent with Winkler constant.