Vibration analysis of carbon nanotube using nonlocal Timoshenko beam theory
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
Vibration analysis of carbon nanotube using
nonlocal Timoshenko beam theory
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| Creator |
V, Senthilkumar
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| Subject |
Nanomechanics
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| Description |
The carbon nanotube was discovered by Iijima in 1991. This invention made a new era in
nanotechnology research. Because of its high mechanical strength, electrical and thermal
conductivity, carbon nanotubes are superior than any other materials. The molecular simulation
or atomic models are very successful in nanostructure analysis due to the growth of
supercomputer and cluster technology. But the computational cost is expensive. The classical
continuum model has not account for nonlocal effects. So the nonlocal continuum theory was
proposed by Eringen for the analysis of nanotube as the alternative method for molecular
dynamic simulation because of its easy analysis of implementation and computational effort. The
small scale effects on carbon nanotube are successfully studied using continuum model and
nonlocal elasticity theory by researchers. The nonlocal Timoshenko beam models are used to
analyze the vibration behavior of carbon nanotube with shear deformation effects1. The dynamic
behavior of a single-walled carbon nanotube has been studied with nonlocal continuum elasticity
models using differential transform method. By using Differential Transformation Method
(DTM), the closed form series solution or an approximate solution can be obtained for the
differential equation. The present semi-analytical technique analyses the nonlocal Timoshenko
frequency for various boundary conditions and compares with the analytical solutions and very
good results have been achieved. The small scale effect on vibration frequency has been
examined for the effects of transverse shear deformation using nonlocal Timoshenko model
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| Publisher |
International Conference on Theoretical Applied Computational and Experimental Mechanics(ICTACEM 2010)
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| Date |
2010-12-27
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| Type |
Book
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/157/1/Vibration%20analysis%20of%20carbon%20nanotube%20using_%20%20%20%20nonlocal%20Timoshenko%20beam%20theory_.pdf
V, Senthilkumar (2010) Vibration analysis of carbon nanotube using nonlocal Timoshenko beam theory. Fifth International Conference on Theoretical Applied Computational and Experimental Mechanics(ICTACEM 2010),IIT Kharagpur,27-29 December 2010 . International Conference on Theoretical Applied Computational and Experimental Mechanics(ICTACEM 2010), IIT Kharagpur. |
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| Relation |
http://cir.cmmacs.ernet.in/157/
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