A mathematical control for the pseudo-pull-in stability arising in a micro-electromechanical system. Issue 2 (June 2023)

• Record Type: Journal Article
• Authors: Yang, Qian
• Is Part Of: Journal of low frequency noise, vibration, and active control. Volume 42:Issue 2(2023)
• Page Start: 927
• Page End: 934
• Publication Date: 2023-06
• Subjects: MEMS oscillator -- pull-in instability -- He's frequency formulation -- energy dissipation -- potential -- energy harvesting; Vibration -- Periodicals; Noise -- Periodicals; Sound -- Periodicals; Damping (Mechanics) -- Periodicals; Damping (Mechanics); Noise; Sound; Vibration; Periodicals; 620.205
• DOI: 10.1177/14613484221133603
• Languages: English
• ISSNs: 1461-3484

Abstract

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.