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

被引：6

作者：

Amer, Y. A. ^{[1
]}

Bahnasy, Taher A. ^{[2
]}

机构：

[1] Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt

[2] Tanta Univ, Dept Engn Phys & Math, Fac Engn, Tanta, Egypt

来源：

SOUND AND VIBRATION | 2021年 / 55卷 / 03期

关键词：

Non-linear dynamical system; multiple time scales method; active feedback controller; time delay; ACTIVE CONTROL; DYNAMICS; SYSTEMS;

D O I：

10.32604/sv.2021.014358

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

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.

引用

页码：191 / 201

页数：11

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