eng Science and Education Publishing American Journal of Mechanical Engineering 2014-10-06 2 7 195 198 10.12691/ajme-2-7-5 AJME2014275 article Jozef Bocko jozef.bocko@tuke.sk 1 Pavol Lengvarsky 1 Department of Applied Mechanics and Mechanical Engineering, Technical University of Košice, Faculty of Mechanical Engineering, Košice, Slovakia The free bending vibration of single-walled carbon nanotubes (SWCNTs) is investigated in the present paper. A continuum approach based on nonlocal theory of beam bending is used for natural frequency computation. Analytical solutions of frequency equations are given for four types boundary conditions: clamped-free (C-F), simply-simply supported (S-S), clamped-simply supported (C-S) and clamped-clamped (C-C). The graphical representations of numerical results are shown for the first case of boundary conditions clamped end - free end. http://pubs.sciepub.com/ajme/2/7/5/ajme-2-7-5.pdf single-walled carbon nanotube vibration beam nonlocal theory free vibration