On the Nonlinear Dynamics of a Doubly Clamped Microbeam near Primary Resonance

Nizar Jaber, Karim M. Masri, Mohammad I. Younis

Research output: Contribution to journalArticlepeer-review


This work aims to investigate theoretically and experimentally various nonlinear dynamic behaviors of a doubly clamped microbeam near its primary resonance. Mainly, we investigate the transition behavior from hardening, mixed, and then softening behavior. We show in a single frequency-response curve, under a constant voltage load, the transition from hardening to softening behavior demonstrating the dominance of the quadratic electrostatic nonlinearity over the cubic geometric nonlinearity of the beam as the motion amplitudes becomes large, which may lead eventually to dynamic pull-in. The microbeam is fabricated using polyimide as a structural layer coated with nickel from top and chromium and gold layers from the bottom. Frequency sweep tests are conducted for different values of DC bias revealing hardening, mixed, and softening behavior of the microbeam. A multi-mode Galerkin model combined with a shooting technique are implemented to generate the frequency response curves and to analyze the stability of the periodic motions using the Floquet theory. The simulated curves show good agreement with the experimental data.
Original languageEnglish (US)
JournalJournal of Vibration and Acoustics
Issue number4
StatePublished - Apr 7 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01


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