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.


74K10 Rods (beams, columns, shafts, arches, rings, etc.)
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
74M25 Micromechanics of solids
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