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Erschienen in: Acta Mechanica Sinica 3/2018

07.03.2018 | Research Paper

Anharmonic 1D actuator model including electrostatic and Casimir forces with fractional damping perturbed by an external force

verfasst von: Maryam Mansoori Kermani, Maryam Dehestani

Erschienen in: Acta Mechanica Sinica | Ausgabe 3/2018

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Abstract

We modeled a one-dimensional actuator including the Casimir and electrostatic forces perturbed by an external force with fractional damping. The movable electrode was assumed to oscillate by an anharmonic elastic force originated from Murrell–Mottram or Lippincott potential. The nonlinear equations have been solved via the Adomian decomposition method. The behavior of the displacement of the electrode from equilibrium position, its velocity and acceleration were described versus time. Also, the changes of the displacement have been investigated according to the frequency of the external force and the voltage of the electrostatic force. The convergence of the Adomian method and the effect of the orders of expansion on the displacement versus time, frequency, and voltage were discussed. The pull-in parameter was obtained and compared with the other models in the literature. This parameter was described versus the equilibrium position and anharmonicity constant.

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Metadaten
Titel
Anharmonic 1D actuator model including electrostatic and Casimir forces with fractional damping perturbed by an external force
verfasst von
Maryam Mansoori Kermani
Maryam Dehestani
Publikationsdatum
07.03.2018
Verlag
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Erschienen in
Acta Mechanica Sinica / Ausgabe 3/2018
Print ISSN: 0567-7718
Elektronische ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-017-0746-8

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