Duffing Oscillator’s Vibration Control under Resonance with a Negative Velocity Feedback Control and Time Delay

IF 0.9 Q4 ACOUSTICS

Sound and Vibration Pub Date : 2021-01-01 DOI:10.32604/sv.2021.014358

Y. A. Amer, Taher A. Bahnasy

引用次数: 0

Abstract

An externally excited Duffing oscillator under feedback control is discussed and analyzed under the worst resonance case. Multiple time scales method is applied for this system to find analytic solution with the existence and nonexistence of the time delay on control loop. An appropriate stability analysis is also performed and appropriate choices for the feedback gains and the time delay are found in order to reduce the amplitude peak. Different response curves are involved to show and compare controller effects. In addition, analytic solutions are compared with numerical approximation solutions using Rung-Kutta method of fourth order.

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带负速度反馈和时滞的Duffing振荡器共振振动控制

对反馈控制下的外激Duffing振荡器在最坏谐振情况下进行了讨论和分析。采用多时间尺度法对该系统求解控制环存在和不存在时滞的解析解。本文还进行了适当的稳定性分析，并对反馈增益和时间延迟进行了适当的选择，以减小振幅峰值。不同的响应曲线用于显示和比较控制器的效果。此外，利用四阶龙库塔法对解析解与数值逼近解进行了比较。

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

Sound and Vibration 物理-工程：机械

CiteScore

1.50

自引率

33.30%

发文量

审稿时长

>12 weeks

期刊介绍： Sound & Vibration is a journal intended for individuals with broad-based interests in noise and vibration, dynamic measurements, structural analysis, computer-aided engineering, machinery reliability, and dynamic testing. The journal strives to publish referred papers reflecting the interests of research and practical engineering on any aspects of sound and vibration. Of particular interest are papers that report analytical, numerical and experimental methods of more relevance to practical applications. Papers are sought that contribute to the following general topics: -broad-based interests in noise and vibration- dynamic measurements- structural analysis- computer-aided engineering- machinery reliability- dynamic testing