International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.1, No.6, Dec. 2015, Pub. Date: Dec. 6, 2015
Asymptotic Analytical Solutions of an Electrostatically Actuated Microbeam Base on Homotopy Analysis Method
Pages: 339-346 Views: 2512 Downloads: 1122
Authors
[01] Y. H. Qian, College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang, P. R. China;Department of Mathematics, Shawnee State University, Portsmouth, OH, USA.
[02] W. K. Liu, College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang, P. R. China.
[03] L. Shen, College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang, P. R. China.
[04] S. P. Chen, Department of Mathematics, Xiamen University of Technology, Xiamen, P. R. China.
Abstract
Presented herein is an analytical approach based on homotopy analysis method (HAM) used to deal with the seventh-order Duffing type problem with high-order nonlinearity. Such a problem corresponds to the large-amplitude vibration of an electrostatically actuated microbeam. Unlike tradition HAM, the convergence-control auxiliary parameters are introduced in the present approximation to improve the accuracy. To verify the efficient of present approach, illustrative examples are provided and compared between the results obtained by analytical and numerical method.
Keywords
Homotopy Analysis Method, Electrostatically Actuated Microbeam, Convergence-Control Parameter
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