PULL-DOWN INSTABILITY OF THE QUADRATIC NONLINEAR OSCILLATORS

IF 10.1 2区工程技术 Q1 ENGINEERING, MECHANICAL Facta Universitatis-Series Mechanical Engineering Pub Date : 2023-08-10 DOI:10.22190/fume230114007h

Ji-Huan He, Qian Yang, Chun-Hui He, Abdulrahman Alsolami

引用次数: 7

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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二次型非线性振子的下拉不稳定性

一个非线性振动系统，经过一段令人信服的周期运动，可能会突然爆发灾难性的不稳定，但缺乏理论工具使爆发的预测变得模糊。本文利用非线性振子的幅频公式揭示了伪周期运动的重要机理，发现二次非线性力对周期运动的每一个周期的拉下现象都有贡献，当力达到某一阈值时，就会发生拉下失稳。提出了下拉失稳的预测准则，并进行了数值验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Facta Universitatis-Series Mechanical Engineering ENGINEERING, MECHANICAL-

CiteScore

14.40

自引率

2.50%

发文量

审稿时长

6 weeks

期刊介绍： Facta Universitatis, Series: Mechanical Engineering (FU Mech Eng) is an open-access, peer-reviewed international journal published by the University of Niš in the Republic of Serbia. It publishes high-quality, refereed papers three times a year, encompassing original theoretical and/or practice-oriented research as well as extended versions of previously published conference papers. The journal's scope covers the entire spectrum of Mechanical Engineering. Papers undergo rigorous peer review to ensure originality, relevance, and readability, maintaining high publication standards while offering a timely, comprehensive, and balanced review process.