Investigating Nonlinear Vibration of a Fully Clamped Nanobeam in Presence of the van der Waals Attraction

Amir Reza Askari, Masoud Tahani

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Citations (Scopus)

Abstract

In this paper, combination of the Galerkin decomposition procedure and homotopy analysis method (HAM) is utilized to derive analytical approximate solutions for nonlinear vibration of a fully clamped nanobeam used in the applications of nano-electromechanical systems (NEMS), under the effect of van der Waals (vdW) force. The model accounts for the inherent nonlinearity of distributed vdW force and geometrical nonlinearity of von Kármán mid-plane stretching as well as the influence of applied axial loading. The HAM is also optimized to accelerate the convergence of approximate solution. The present results are found to agree well with those obtained by the fourth-order Runge-Kutta method.

Original languageEnglish
Title of host publication2012 International Conference on Vibration, Structural Engineering and Measurement, ICVSEM 2012
EditorsChunliang Zhang, Paul P. Lin
PublisherTrans Tech Publications Ltd
Pages181-185
Number of pages5
ISBN (Electronic)9783038133124
ISBN (Print)9783037855072
DOIs
Publication statusPublished - 29 Nov 2012
Externally publishedYes
Event2012 International Conference on Vibration, Structural Engineering and Measurement - Shanghai, China
Duration: 19 Oct 201221 Oct 2012

Publication series

NameApplied Mechanics and Materials
PublisherTrans Tech Publications Ltd
Volume226-228
ISSN (Print)1660-9336
ISSN (Electronic)1662-7482

Conference

Conference2012 International Conference on Vibration, Structural Engineering and Measurement
Abbreviated titleICVSEM 2012
Country/TerritoryChina
CityShanghai
Period19/10/1221/10/12

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