Title: Vibrational properties of single-walled carbon nanotubes embedded in an elastic medium in thermal environment
Authors: Ming Li; Huiming Zheng; Xia Luo
Addresses: Department of Mechanics, Wuhan University of Science and Technology, Wuhan, Hubei Province 430081, China ' Department of Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei Province 430074, China ' Department of Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei Province 430074, China
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.
Keywords: vibrational properties; single-walled CNTs; carbon nanotubes; SWCNT; elastic medium; thermal environment; non-local boundary conditions; exact solution; resonant frequency; vibrational mode shapes; cantilever beams; Euler-Bernoulli beam theory; nanomanufacturing; nanotechnology; small scale effects; temperature change; Winkler constant; geometrical parameters.
International Journal of Nanomanufacturing, 2014 Vol.10 No.5/6, pp.453 - 465
Received: 19 Mar 2013
Accepted: 25 Oct 2013
Published online: 20 Dec 2014 *