Analytical approximations to nonlinear vibration of an electrostatically actuated microbeam |
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| Authors: | Y.H. Qian D.X. RenS.K. Lai S.M. Chen |
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| Affiliation: | a College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang 321004, PR China
b Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong |
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| 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. |
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| Keywords: | Homotopy analysis method Electrostatic actuation Fully clamped microbeam |
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