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Issue title: Nonlinear vibrations in elastic structures: Dynamics and control
Article type: Research Article
Authors: Welte, Johannes | Kniffka, Till Jochen | Ecker, Horst
Affiliations: Institute for Transport Studies, University of Natural Resources and Life Sciences, Vienna, Austria | Institute of Mechanics and Mechatronics, Vienna University of Technology, Vienna, Austria
Note: [] Corresponding author: Johannes Welte, Institute for Transport Studies, University of Natural Resources and Life Sciences, Gregor Mendel Straße 33, 1180 Vienna, Austria. E-mail: johannes.welte@boku.ac.at
Abstract: This contribution investigates the influence of parametric excitation on the dynamic stability of a microelectromechanical system. In systems with just a single degree of freedom, parametric excitation causes the oscillator to exhibit unstable behavior within certain intervals of the parametric excitation frequency. In multi-degree of freedom systems on the other hand, unstable behavior is caused within a wider range of intervals of the parametric excitation frequency. Moreover, such systems show frequency intervals of enhanced stability, an effect known as anti-resonance phenomenon. Both types of phenomena, the parametric resonance and anti-resonance, are modeled and studied for a microelectromechanical system with two degrees of freedom and some novel results are discussed.
Keywords: Stability, resonance, anti-resonance, parametric excitation, MEMS
DOI: 10.3233/SAV-130826
Journal: Shock and Vibration, vol. 20, no. 6, pp. 1113-1124, 2013
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