不稳定性
摄动(天文学)
运动(物理)
物理
简单(哲学)
微扰理论(量子力学)
经典力学
运动方程
机械
量子力学
哲学
认识论
出处
期刊:International Journal of Modern Physics B
[World Scientific]
日期:2023-07-25
被引量:3
标识
DOI:10.1142/s0217979224502928
摘要
The pull-down instability is a newly found phenomenon for oscillators with even nonlinearities. It is a seemingly periodic motion, which will suddenly pull down after some cycles. The phenomenon is similar to the pull-in instability in the micro-electromechanical systems. This paper restudies the well-known Toda oscillator, which is considered to be in periodic motion. Its pseudo-periodic property is studied and the pull-down instability is found for the first time ever. To this end, this paper establishes a variational principle for the Toda oscillator, and the criterion for prediction of the pull-down motion is obtained. A simple formulation to calculate the pull-down instability is proved and verified through examples. Furthermore, an approximate frequency formula is obtained by Li–He modified homotopy perturbation method.
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