Analysis of dynamic pull-in voltage and response time for a micro-electro-mechanical oscillator made of power-law materials

Skrzypacz, Piotr; Wei, Dongming; Nurakhmetov, Daulet; Kostsov, E. G.; Sokolov, A. A.; Begzhigitov, Madi; Ellis, Grant A.

doi:10.1007/s11071-021-06653-3

Cited by 7 publications

(3 citation statements)

References 35 publications

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“…If equation ( 10) is satisfied for all t > 0, the system becomes instable. In order to find the pull-in instable area, we integrate equation (10) from 0 to 1 by adding a weighting function of u 3 , and this results in…”

Section: Pull-in Instability Criterionmentioning

confidence: 99%

“…The last two decades have witnessed a skyrocketing interest in the micro/nanoelectromechanical system, sparked by its wide advanced applications in nanotechnology, micro-devices, micro-sensors, micro-actuators, and micro-power generators, [1][2][3][4][5][6] and it has been caught a renewed attention to the pull-in stability from both industry and academia because the pull-in instability is an unwanted phenomenon, [7][8][9][10][11] which causes unreliability. Much effort was made to avoid the pull-in instability.…”

Section: Introductionmentioning

confidence: 99%

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A mathematical control for the pseudo-pull-in stability arising in a micro-electromechanical system

Yang

2022

Journal of Low Frequency Noise, Vibration and Active Control

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A micro-electromechanical system’s reliability depends strongly upon its periodic motion; however, the pull-in instability might arise when the applied voltage is high enough. No criterion is available to judge the reliability condition in a simple but effective way. This paper tackles this challenge mathematically. The sufficient conditions for the periodic motion and the pull-in instability of a micro-electromechanical system with a current-carrying conductor are established, respectively. There is an uncertain area, where the system behaves firstly periodic motion, and after a certain number of cycles, the pull-in instability occurs. This new phenomenon is called as a pseudo-pull-in stability (pseudo-periodic motion); its main factors affecting the pseudo-periodic motion are elucidated.

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Section: Pull-in Instability Criterionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A mathematical control for the pseudo-pull-in stability arising in a micro-electromechanical system

Yang

2022

Journal of Low Frequency Noise, Vibration and Active Control

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“…We establish the proof using simple phase plane analysis, cf., 4 , 17 – 19 . The solution is periodic if and only if the phase diagram produces a closed curve.…”

Section: Mathematical Model For Retaining Wall Subject To Swelling Pr...mentioning

confidence: 99%

Oscillations of retaining wall subject to Grob’s swelling pressure

Kozlov

Tulendinova

Kim

et al. 2022

Sci Rep

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The single-degree-of-freedom nonlinear problem describing the essential dynamics of an oscillating retaining wall based on non-quaking ground and subject to Grob’s swelling pressure is considered. The periodic solutions are derived using harmonic approximation. The amplitude-frequency relation is established by employing Lambert’s special function or alternatively using linearization of the nonlinear force. Analytical results are verified using numerical simulations.

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Dynamic pull-in and oscillations of current-carrying filaments in magnetic micro-electro-mechanical system

Skrzypacz

Ellis²,

et al. 2022

Communications in Nonlinear Science and Numerical Simulation

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Analysis of dynamic pull-in voltage and response time for a micro-electro-mechanical oscillator made of power-law materials

Cited by 7 publications

References 35 publications

A mathematical control for the pseudo-pull-in stability arising in a micro-electromechanical system

A mathematical control for the pseudo-pull-in stability arising in a micro-electromechanical system

Oscillations of retaining wall subject to Grob’s swelling pressure

Dynamic pull-in and oscillations of current-carrying filaments in magnetic micro-electro-mechanical system

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