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Homotopy Perturbation Method for Analysis Nonlinear Vibration of Double-Walled Carbon Nanotubes

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Abstract:

To obtain the approximately analytical solution of double-walled carbon nanotubes (DWNTs) nonlinear vibration. In this study, homotopy perturbation method (HPM) was used to solve nonlinear vibration equation of DWNTs. Novel and accurate analytical solutions for the frequency and displacement are derived. Comparison of the result obtained by the HPM with exact solutions reveals that only the first or second order approximation of the HPM leads to higher accurate solution.

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Advanced Materials Science and Applied Mechanics View Preview

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Periodical:

Advanced Materials Research (Volume 702)

Pages:

186-190

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.702.186

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Online since:

May 2013

Authors:

Lie Zhen Chang, Yu Tian Pan, Xin Mou Ma

Keywords:

Constant Expansion, Cubic Nonlinearities, Double-Walled Carbon Nanotubes (DWNTs), Homotopy Perturbation Method (HPM)

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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