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Transverse Vibration of Tapered Single-Walled Carbon Nanotubes Embedded in Viscoelastic Medium
Authors:Y J Lei  D P Zhang  Z B Shen
Institution:1.College of Aerospace Science and Engineering,National University of Defense Technology,Changsha,China
Abstract:Based on the nonlocal theory, Euler-Bernoulli beam theory and Kelvin viscoelastic foundation model, free transverse vibration is studied for a tapered viscoelastic single-walled carbon nanotube (visco-SWCNT) embedded in a viscoelastic medium. Firstly, the governing equations for vibration analysis are established. And then, we derive the natural frequencies in closed form for SWCNTs with arbitrary boundary conditions by applying transfer function method and perturbation method. Numerical results are also presented to discuss the effects of nonlocal parameter, relaxation time and taper parameter of SWCNTs, and material property parameters of the medium. This study demonstrates that the proposed model is available for vibration analysis of the tapered SWCNTs-viscoelastic medium coupling system.
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