Periodic solutions and the avoidance of pull-in instability in nonautonomous microelectromechanical systems
dc.contributor.author | Kadyrov Sh. | |
dc.contributor.author | Kashkynbayev A. | |
dc.contributor.author | Skrzypacz P. | |
dc.contributor.author | Kaloudis K. | |
dc.contributor.author | Bountis A. | |
dc.date.accessioned | 2025-08-06T03:53:17Z | |
dc.date.available | 2025-08-06T03:53:17Z | |
dc.date.issued | 2020 | |
dc.description.abstract | We study periodic solutions of a one-degree of freedom microelectromechanical 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 Poincaré 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 Poincaré 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. | |
dc.identifier.citation | Kadyrov Sh , Kashkynbayev A , Skrzypacz P , Kaloudis K , Bountis A / Periodic solutions and the avoidance of pull-in instability in nonautonomous microelectromechanical systems / Mathematical Methods in the Applied Sciences / 2020 | |
dc.identifier.issn | 44:14556–14568 | |
dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/1851 | |
dc.language.iso | en | |
dc.publisher | Mathematical Methods in the Applied Sciences | |
dc.subject | dynamical systems | |
dc.subject | forced graphene oscillator | |
dc.subject | MEMS | |
dc.title | Periodic solutions and the avoidance of pull-in instability in nonautonomous microelectromechanical systems | |
dc.type | Article |
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