Transverse vibration of short carbon nanotubes using cylindrical shell and beam models

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Volumn 224, Issue 3, 2010, Pages 745-756

  Ghorbanpourarani, A ^a   Mohammadimehr, M ^a   Arefmanesh, A ^a   Ghasemi, A ^a  

^a UNIVERSITY OF KASHAN   (Iran)

Author keywords

Axial loading; Carbon nanotube; Non local theory; Transverse vibrations

Indexed keywords

AMPLITUDE COEFFICIENTS; AXIAL LOADING; BEAM MODEL; CLASSICAL MODEL; CYLINDRICAL SHELL; DOUBLE-WALLED CARBON NANOTUBES; EULER BERNOULLI BEAMS; EULER-BERNOULLI; NONLOCAL THEORY; SHELL MODELS; SHORT CARBON NANOTUBES; SIMPLY SUPPORTED; TIMOSHENKO BEAM MODEL; TRANSVERSE VIBRATIONS; VIBRATION BEHAVIOURS;

AXIAL LOADS; CRACK INITIATION; MULTIWALLED CARBON NANOTUBES (MWCN); VIBRATION MEASUREMENT;

CARBON NANOTUBES;

EID: 77949739697     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/09544062JMES1659     Document Type: Article

References (20)

1. Iijima, S.Helical microtubes of graphitic carbon.Nature, 1991, 354, 56-58.
2. Yoon, J., Ru, C. Q., and Mioduchowski, A. Vibration of an embedded multiwall carbon nanotube. Compos. Sci. Technol., 2003, 63, 1533-1545.
3. Fu,Y. M.,Hong, J.W., andWang,X. Q. Analysis of nonlinear vibration for embedded carbon nanotubes. J. Sound Vibr., 2006, 296, 746-756.
4. Wang, C. M., Tan, V. B. C., and Zhang, Y. Y. Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes. J. SoundVibr., 2006, 294, 1060-1072.
5. Ranjbartoreh, A. R., Ghorbanpour, A., and Soltani, B. Double-walled carbon nanotube with surrounding elastic medium under axial pressure. Physica E, 2007, 39, 230-239.
6. Ranjbartoreh, A. R.,Wang,G. X.,Ghorbanpourarani, A., and Loghman,A.Comparative consideration of axial stability of single- and double-walled carbon nanotube and its inner and outer tubes. Physica E, 2008, 41, 202-208.
7. Aydogdu, M. Vibration of multi-walled carbon nanotubes by generalized shear deformation theory. Int. J. Mech. Sci., 2008, 50, 837-844.
8. Ghorbanpourarani, A., Rahmani, R., Arefmanesh, A., and Golabi, S. Buckling analysis of multi-walled carbon nanotubes under combined loading considering the effect of small length scale. J. Mech. Sci. Technol., 2008, 22, 429-439.
9. Lennard-Jones, J. E. The determination of molecular fields: from the variation of the viscosity of a gas temperature. Proc. R. Soc., 1924, 106A, 441.
10. He, X. Q., Kitipornchai, S., and Liew, K. M. Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van derWaals interaction. J.Mech. Phys. Solids, 2005, 53, 303-326.
11. Saito, R., Dresselhous, G., and Dresselhous, M. S. Physical properties of carbon nanotubes, 1988 (Imperial College Press, London).
12. Ru,C.Q. Axially compressed buckling of a double-walled carbon nanotube embedded elastic medium. J. Mech. Phys. Solids, 2001, 49, 1265-1279.
13. Wang, X., Guoxing, Lu., and Lu,Y. J. Buckling of embedded multi-walled carbon nanotubes under combined torsion and axial loading. Int. J. Solids Struct., 2007, 44, 336-351.
14. Eringen, A. C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys., 1983, 54, 4703-4710.
15. Zhang,Y. Q., Liu, G. R., and Han, X. Effect of small length scale on elastic buckling of multi walled carbon nanotubes under radial pressure. Phys. Lett. A, 2006, 349, 370-376.
16. Brush, D. O. and Almroth, B. O. Buckling of bars, plates, and shells, 1975 (McGraw-Hill, NewYork).
17. Wang, Q. and Liew, K. M. Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures. Phys. Lett. A, 2007, 363, 236-242.
18. Wang, C. Y., Ru, C. Q., and Mioduchowski, A. Axially compressed buckling of pressured multi-walled carbon nanotubes. Int. J. Solids Struct., 2003, 40, 3893-3911.
19. Timoshenko, S. Vibration problems in engineering, 2nd edition, 1938 (D. Van Nostrand Co., USA).
20. Graham Kelly,S. Fundamentals of mechanical vibration, 2nd edition, 2000 (Mcgraw Hill, USA).