Abstract
| Original language | Undefined |
|---|---|
| Pages (from-to) | 1730-1741 |
| Number of pages | 12 |
| Journal | Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science |
| Volume | 225 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 11 May 2011 |
Keywords
- generalized differential quadrature method
- vibration
- multiwall carbon nanotubes
- timoshenko beam
- pasternak-type elastic foundation
Cite this
An efficient GDQ model for vibration analysis of a multiwall carbon nanotube on Pasternak foundation with general boundary conditions. / Soltani, P; Bahar, P; Farshidianfar, A.
In: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 225, No. 7, 11.05.2011, p. 1730-1741.Research output: Contribution to journal › Article
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TY - JOUR
T1 - An efficient GDQ model for vibration analysis of a multiwall carbon nanotube on Pasternak foundation with general boundary conditions
AU - Soltani, P
AU - Bahar, P
AU - Farshidianfar, A
PY - 2011/5/11
Y1 - 2011/5/11
N2 - In this article, the free transverse vibrational behaviour of a multiwall carbon nanotube (MWNT) surrounded by a Pasternak-type elastic medium has been determined using a very generalized model. The model has been made on the basis of Timoshenko elastic beam theory which allows the effects of shear deformation and rotary inertia and supports non-coaxial vibration of the adjacent layers of MWNT using interlayer van der Waals forces. The boundary conditions used in this simulation are such that not only standard and conventional kinds, but also all possible forms, of end conditions are applicable. A generalized differential quadrature method is utilized to solve the governing equations with assorted aspect ratios, various boundary conditions, and different foundation stiffnesses. This study shows that the resonant frequencies of MWNTs are strongly dependent on the stiffness of the elastic medium, aspect ratios, and number of walls in carbon nanotubes and, for short nanotubes, the boundary stiffness plays a significant role on the natural frequencies.
AB - In this article, the free transverse vibrational behaviour of a multiwall carbon nanotube (MWNT) surrounded by a Pasternak-type elastic medium has been determined using a very generalized model. The model has been made on the basis of Timoshenko elastic beam theory which allows the effects of shear deformation and rotary inertia and supports non-coaxial vibration of the adjacent layers of MWNT using interlayer van der Waals forces. The boundary conditions used in this simulation are such that not only standard and conventional kinds, but also all possible forms, of end conditions are applicable. A generalized differential quadrature method is utilized to solve the governing equations with assorted aspect ratios, various boundary conditions, and different foundation stiffnesses. This study shows that the resonant frequencies of MWNTs are strongly dependent on the stiffness of the elastic medium, aspect ratios, and number of walls in carbon nanotubes and, for short nanotubes, the boundary stiffness plays a significant role on the natural frequencies.
KW - generalized differential quadrature method
KW - vibration
KW - multiwall carbon nanotubes
KW - timoshenko beam
KW - pasternak-type elastic foundation
U2 - 10.1177/0954406211402555
DO - 10.1177/0954406211402555
M3 - Article
VL - 225
SP - 1730
EP - 1741
JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
SN - 0954-4062
IS - 7
ER -