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Size-dependent free
vibration analysis of infinite nanotubes using elasticity
theory
Jafar Eskandari Jam, Yaser Mirzaei, Behnam Gheshlaghi and Reza Avazmohammadi |
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Vol. 7 (2012), No. 2, 137–144
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Abstract |
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Exact elasticity theory is employed to study the (two-dimensional) free vibration of nanoscale cylindrical tubes in the presence of free surface energy. Use is made of the Gurtin–Murdoch surface elasticity model to incorporate the surface stress terms into the pertinent boundary conditions. Some numerical examples are provided to depict the influence of the surface energy, and particularly the inner radius size of the nanocylinder, on the natural frequencies of the system. The results indicate a stronger influence of surface effects for both smaller values of the outer to inner radius ratio and higher modes of vibration. |
Keywords
free surface energy, free vibration, nanotube, elasticity
solution
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Milestones
Received: 28 March 2011
Revised: 8 August 2011
Accepted: 19 August 2011
Published: 6 May 2012
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Authors |
| Jafar Eskandari Jam | |
| Composite Material and Technology
Center Tehran Iran |
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| Yaser Mirzaei | |
| Department of Mechanical
Engineering Damavand Branch Islamic Azad University Damavand Iran |
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| Behnam Gheshlaghi | |
| Young Researchers Club Science and Research Branch Islamic Azad University Tehran Iran |
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| Reza Avazmohammadi | |
| Department of Mechanical Engineering
and Applied Mechanics University of Pennsylvania 220 S 33rd St. Philadelphia, PA 19104-6315 United States |
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