Analytical approximations to nonlinear vibration of an electrostatically actuated microbeam

Y. H. Qian, D. X. Ren, Siu Kai Lai, S. M. Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

37 Citations (Scopus)


This paper employs the homotopy analysis method (HAM) to derive analytical approximate solutions for the nonlinear problem with high-order nonlinearity. Such a problem corresponds to the large-amplitude vibration of electrostatically actuated microbeams. The HAM is also optimized to accelerate the convergence of approximate solutions. To verify the accuracy of the present approach, illustrative examples are provided and compared with other analytical and exact solutions.
Original languageEnglish
Pages (from-to)1947-1955
Number of pages9
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number4
Publication statusPublished - 1 Apr 2012
Externally publishedYes


  • Electrostatic actuation
  • Fully clamped microbeam
  • Homotopy analysis method

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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