Thermo mechanical vibration of single wall carbon nanotube partially embedded into soil medium
University of Tartu, Faculty of Science and Technology, Institute of mathematics and statistics, Narva mnt 18, EE51009 Tartu, Estonia
Single wall carbon nanotube is one of the promising forms of carbon nanocomposite. Due to its high strength and stiffness, carbon nanotube is potentially used in various nanoscale structures. In this paper, dynamic behaviour of single wall carbon nanotube partially embedded into elastic soil medium is modelled by the Euler-Bernoulli beam theory and nonlocal theory of elasticity. Analytical solution technique is employed to solve these governing differential equations of nanotube. Analysing the effects of temperature, nonlocal parameter, coefficients of elastic medium on dynamic behaviour of nanotube are our main concern. The results reveal that the effects of temperature, nonlocal parameter and coefficients of elastic medium are very significant on the natural frequency of nanotube.