Asymptotic Analytical Solutions of an Electrostatically Actuated Microbeam Base on Homotopy Analysis Method
نویسندگان
چکیده
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 ( ) i i 1,2 m = ħ ⋯ 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.
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