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• W3092159541 abstract "We study periodic solutions of a one-degree of freedom micro-electro-mechanical system (MEMS) with a parallel-plate capacitor under $T$--periodic electrostatic forcing. We obtain analytical results concerning the existence of $T-$ periodic solutions of the problem in the case of arbitrary nonlinear restoring force, as well as when the moving plate is attached to a spring fabricated using graphene. We then demonstrate numerically on a $T-$ periodic Poincar{e} map of the flow that these solutions are generally locally stable with large islands of initial conditions around them, within which the pull-in stability is completely avoided. We also demonstrate graphically on the Poincar{e} map that stable periodic solutions with higher period $nT, n>1$ also exist, for wide parameter ranges, with large islands of bounded motion around them, within which all initial conditions avoid the pull--in instability, thus helping us significantly increase the domain of safe operation of these MEMS models." @default.
• W3092159541 created "2020-10-15" @default.
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• W3092159541 date "2020-10-09" @default.
• W3092159541 modified "2023-09-27" @default.
• W3092159541 title "Periodic solutions and the avoidance of pull--in instability in non--autonomous micro--electro--mechanical systems" @default.
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• W3092159541 hasPublicationYear "2020" @default.
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