Periodic solutions and the avoidance of pull-in instability in nonautonomous microelectromechanical systems
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.44, sa.18, ss.14556-14568, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 18
- Basım Tarihi: 2021
- Doi Numarası: 10.1002/mma.7725
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.14556-14568
- Anahtar Kelimeler: dynamical systems, forced graphene oscillator, pull-in, MEMS, MEMS
- Süleyman Demirel Üniversitesi Adresli: Hayır
Özet
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 Poincare 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 Poincare 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.