Email this article PULL-DOWN INSTABILITY OF THE QUADRATIC NONLINEAR OSCILLATORS
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.
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DOI: https://doi.org/10.22190/FUME230114007H
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ISSN: 0354-2025 (Print)
ISSN: 2335-0164 (Online)
COBISS.SR-ID 98732551
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