Pull-in Dynamics of an Elastic Beam Actuated by Continuously Distributed Electrostatic Force

By Slava Krylov, R. Maimon. 2004

189 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/0d127d337c24f91f3c1186bc14c57025ff833061

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Pull-in and snap-through instabilities in transient deformations of microelectromechanical systems (2009, unknown): “The pull-in instability in a MEMS under a transient electric load has been studied in [23–28], and the snap-through of arches and shells during their transient deformations under mechanical loads has been reported in [29, 30].”
Nonlinear Dynamics of MEMS Arches Under Harmonic Electrostatic Actuation (2010, background): “Dynamic pull-in requires lower values of dc voltage to be triggered compared to the static pull-in threshold [30], [33]–[35].”
Theoretical modeling and nonlinear analysis of piezoelectric energy harvesting from vortex-induced vibrations (2014, methodology): “Therefore, the modified mode shapes are developed with the consideration of the inertial force at the offset D/2 from the free end of the beam and the rotational moment of inertia of the cylinder around the end of the beam (Krylov and Maimon, 2004).”
Piezoelectric energy harvesting from concurrent vortex-induced vibrations and base excitations (2014, background): “Taking into account for the inertial force at the offset D/2 from the free end of the beam and the rotational moment of inertia of the cylinder around the end of the beam, the mode shapes of this system can be expressed as [50]:”
Nonlinear Dynamics and Its Applications in Micro- and Nanoresonators (2010, methodology): “A systematic investigation of this situation, involving experimentation and comparison with a mathematical model for a microbeam, is described by Krylov and Maimon [58].”
Review of modeling electrostatically actuated microelectromechanical systems (2007, unknown): “[12–19].”
REDUCED-ORDER MODELS FOR MICROELECTROMECHANICAL RECTANGULAR AND CIRCULAR PLATES INCORPORATING THE CASIMIR FORCE (2008, methodology): “These devices are used in signal filtering, and chemical and mass sensing, see for example Abdel-Rahman et al. (2002), Nayfeh and Younis (2005), Rhoads et al. (2006), Tilmans and Legtenberg (1994b), Younis and Nayfeh (2003), Krylov and Maimon (2004) , Kuang and Chen (2004), Xie et al. (2003).”
On the nonlinear resonances and dynamic pull-in of electrostatically actuated resonators (2009, background): “There is a slight deviation between theory and experiment in the right branch of the frequency–response curve, which might be because of the variation in damping during the experiment or due to noise and the effect of the torsional and higher vibration modes [1].”
Nonlinear damping in a micromechanical oscillator (2009, background): “For example, the effect of nonlinear damping for the case of strictly dissipative force, being proportional to the velocity to the nth power, on the response and bifurcations of driven Duffing [55–58] and other types of nonlinear oscillators [45, 57, 59–61] has been studied extensively.”