Science and Education Publishing American Journal of Mechanical Engineering 2 7 2014 10 06 Vibration of Single-Walled Carbon Nanotubes by Using Nonlocal Theory 195 198 EN Jozef Bocko Department of Applied Mechanics and Mechanical Engineering, Technical University of Košice, Faculty of Mechanical Engineering, Košice, Slovakia Pavol Lengvarsky AJME2014275 10.12691/ajme-2-7-5 2014 09 02 2014 09 17 2014 10 06 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.