Analytical approximations to nonlinear vibration of an electrostatically actuated microbeam

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

doi:10.1016/j.cnsns.2011.09.018

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 publication › Journal article › Academic research › peer-review

45 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1947-1955
Number of pages	9
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	17
Issue number	4
DOIs	https://doi.org/10.1016/j.cnsns.2011.09.018
Publication status	Published - 1 Apr 2012
Externally published	Yes

Keywords

Electrostatic actuation
Fully clamped microbeam
Homotopy analysis method

ASJC Scopus subject areas

Numerical Analysis
Modelling and Simulation
Applied Mathematics

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10.1016/j.cnsns.2011.09.018

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N2 - 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.

AB - 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.

KW - Electrostatic actuation

KW - Fully clamped microbeam

KW - Homotopy analysis method

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ER -

Analytical approximations to nonlinear vibration of an electrostatically actuated microbeam

Abstract

Keywords

ASJC Scopus subject areas

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