caa a22 4500 445812176 CHVBK 20180317145215.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00419-010-0473-0 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0473-0 Effects of dimensional parameters and various boundary conditions on axisymmetric vibrations of multi-walled carbon nanotubes using a continuum model [Elektronische Daten] [S. Talebian, M. Tahani, M. Abolbashari, S. Hosseini] Axisymmetric vibrations of multi-walled carbon nanotubes (MWCNTs) with finite length are investigated in this paper. A multi-walled carbon nanotube is modeled with multiple elastic isotropic shells. Based on a continuum model and considering van der Waals forces between tubes, a two-dimensional finite element model is developed to obtain axisymmetric natural frequencies and mode shapes of MWCNTs. First, the axisymmetric vibrational characteristics of single-walled carbon nanotubes are investigated, and then, they are compared with those of MWCNTs. The effects of van der Waals forces on radial vibration of MWCNTs are also explained. Moreover, influences of end conditions on radial and axial natural frequencies of carbon nanotubes (CNTs) with wide range of length-to-thickness ratio are studied by considering the free-free (F-F) and simply supported (S-S) end conditions. Besides, it is focused on dependence of axisymmetric mode frequencies on dimensional parameters such as length, diameter, as well as number of layers of MWCNTs. Through this, explicit expressions are found for calculating the radial breathing mode and longitudinal mode frequencies of MWCNTs. Springer-Verlag, 2010 Multi-walled carbon nanotube nationallicence Axisymmetric vibration nationallicence Continuum model nationallicence Finite element model nationallicence Talebian S. Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran aut Tahani M. Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran aut Abolbashari M. Department of Mechanical Engineering, Lean Production Engineering Research Center, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran aut Hosseini S. Department of Industrial Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran aut Archive of Applied Mechanics Springer-Verlag 81/8(2011-08-01), 1129-1140 0939-1533 81:8<1129 2011 81 419 https://doi.org/10.1007/s00419-010-0473-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0473-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Talebian S. Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran aut NATIONALLICENCE 700 1- Tahani M. Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran aut NATIONALLICENCE 700 1- Abolbashari M. Department of Mechanical Engineering, Lean Production Engineering Research Center, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran aut NATIONALLICENCE 700 1- Hosseini S. Department of Industrial Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/8(2011-08-01), 1129-1140 0939-1533 81:8<1129 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer