Size-dependent free vibration analysis of infinite nanotubes using elasticity theory

Jafar Eskandari Jam; Yaser Mirzaei; Behnam Gheshlaghi; Reza Avazmohammadi

doi:10.2140/jomms.2012.7.137

Size-dependent free vibration analysis of infinite nanotubes using elasticity theory

Jafar Eskandari Jam, Yaser Mirzaei, Behnam Gheshlaghi, Reza Avazmohammadi

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	137-144
Number of pages	8
Journal	Journal of Mechanics of Materials and Structures
Volume	7
Issue number	2
DOIs	https://doi.org/10.2140/jomms.2012.7.137
State	Published - 2012

Keywords

Elasticity solution
Free surface energy
Free vibration
Nanotube

ASJC Scopus subject areas

Mechanics of Materials
Applied Mathematics

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10.2140/jomms.2012.7.137

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abstract = "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.",

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AU - Jam, Jafar Eskandari

AU - Mirzaei, Yaser

AU - Gheshlaghi, Behnam

AU - Avazmohammadi, Reza

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Elasticity solution

KW - Free surface energy

KW - Free vibration

KW - Nanotube

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Size-dependent free vibration analysis of infinite nanotubes using elasticity theory

Abstract

Keywords

ASJC Scopus subject areas

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