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 direct current (DC) bias revealing hardening, mixed, and softening behavior of the microbeam. A multimode 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 a good agreement with the experimental data.
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August 2017
Research-Article
On the Nonlinear Dynamics of a Doubly Clamped Microbeam Near Primary Resonance
Nizar R. Jaber,
Nizar R. Jaber
Physical Science and Engineering Division,
King Abdullah University of Science and Technology (KAUST),
P. O. Box 4700,
Thuwal 23955-6900, Saudi Arabia
King Abdullah University of Science and Technology (KAUST),
P. O. Box 4700,
Thuwal 23955-6900, Saudi Arabia
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Karim M. Masri,
Karim M. Masri
Department of Mechanical Engineering,
State University of New York,
Binghamton, NY 13850
State University of New York,
Binghamton, NY 13850
Search for other works by this author on:
Mohammad I. Younis
Mohammad I. Younis
Physical Science and Engineering Division,
King Abdullah University of Science and Technology (KAUST),
P. O. Box 4700,
Thuwal 23955-6900, Saudi Arabia;
King Abdullah University of Science and Technology (KAUST),
P. O. Box 4700,
Thuwal 23955-6900, Saudi Arabia;
Department of Mechanical Engineering,
State University of New York,
Binghamton, NY 13850
e-mail: Mohammad.Younis@kaust.edu.sa
State University of New York,
Binghamton, NY 13850
e-mail: Mohammad.Younis@kaust.edu.sa
Search for other works by this author on:
Nizar R. Jaber
Physical Science and Engineering Division,
King Abdullah University of Science and Technology (KAUST),
P. O. Box 4700,
Thuwal 23955-6900, Saudi Arabia
King Abdullah University of Science and Technology (KAUST),
P. O. Box 4700,
Thuwal 23955-6900, Saudi Arabia
Karim M. Masri
Department of Mechanical Engineering,
State University of New York,
Binghamton, NY 13850
State University of New York,
Binghamton, NY 13850
Mohammad I. Younis
Physical Science and Engineering Division,
King Abdullah University of Science and Technology (KAUST),
P. O. Box 4700,
Thuwal 23955-6900, Saudi Arabia;
King Abdullah University of Science and Technology (KAUST),
P. O. Box 4700,
Thuwal 23955-6900, Saudi Arabia;
Department of Mechanical Engineering,
State University of New York,
Binghamton, NY 13850
e-mail: Mohammad.Younis@kaust.edu.sa
State University of New York,
Binghamton, NY 13850
e-mail: Mohammad.Younis@kaust.edu.sa
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 28, 2016; final manuscript received March 25, 2017; published online May 30, 2017. Assoc. Editor: Hanna Cho.
J. Vib. Acoust. Aug 2017, 139(4): 040902 (5 pages)
Published Online: May 30, 2017
Article history
Received:
November 28, 2016
Revised:
March 25, 2017
Citation
Jaber, N. R., Masri, K. M., and Younis, M. I. (May 30, 2017). "On the Nonlinear Dynamics of a Doubly Clamped Microbeam Near Primary Resonance." ASME. J. Vib. Acoust. August 2017; 139(4): 040902. https://doi.org/10.1115/1.4036399
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