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- Title
PULL-DOWN INSTABILITY OF THE QUADRATIC NONLINEAR OSCILLATORS.
- Authors
Ji-Huan He; Qian Yang; Chun-Hui He; Alsolami, Abdulrahman Ali
- Abstract
A nonlinear vibration system, over a span of convincing periodic motion, might break out abruptly a catastrophic instability, but the lack of a theoretical tool has obscured the prediction of the outbreak. This paper deploys the amplitude-frequency formulation for nonlinear oscillators to reveal the critically important mechanism of the pseudo-periodic motion, and finds the quadratic nonlinear force contributes to the pull-down phenomenon in each cycle of the periodic motion, when the force reaches a threshold value, the pull-down instability occurs. A criterion for prediction of the pull-down instability is proposed and verified numerically.
- Subjects
NONLINEAR oscillators; PERIODIC motion; NONLINEAR systems; ENERGY harvesting
- Publication
Facta Universitatis, Series: Mechanical Engineering, 2023, Vol 21, Issue 2, p191
- ISSN
0354-2025
- Publication type
Article
- DOI
10.22190/FUME230114007H