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Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method. (English) Zbl 1185.74032
Summary: Static pull-in instability of electrostatically-actuated microbridges and microcantilevers is investigated considering different nonlinear effects. Galerkin’s decomposition method is utilized to convert the nonlinear differential equations of motion to nonlinear integro-algebraic equations. Afterward, analytic solutions to static deflections of the microbeams are obtained using the homotopy perturbation method. Results are in excellent agreement with those presented in the literature.

74K10Rods (beams, columns, shafts, arches, rings, etc.) in solid mechanics
65M99Numerical methods for IVP of PDE
74H10Analytic approximation of solutions for dynamical problems in solid mechanics
Full Text: DOI
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