Investigation of the nonlinear static and dynamic behaviour of rectangular microplates under electrostatic actuation

Shahid Saghir, Mohammad I. Younis

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We present an investigation of the static and dynamic behavior of the nonlinear von-Karman plates when actuated by the nonlinear electrostatic forces. The investigation is based on a reduced order model developed using the Galerkin method, which rely on modeshapes and in-plane shape functions extracted using a finite element method. In this study, a fully clamped microplate is considered. We investigate the static behavior and the results are validated by comparison with the results calculated by a finite element model. The forced-vibration response of the plate is then investigated when the plate is excited by a harmonic AC load superimposed to a DC load. The dynamic behavior is examined near the primary resonance. The microplate shows a strong hardening behavior due to the cubic nonlinearity of mid-plane stretching. However, the behavior switches to softening as the DC load is increased.
Original languageEnglish (US)
Title of host publicationMATEC Web of Conferences
PublisherEDP Sciences
StatePublished - Nov 16 2016

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