Duffing Oscillator’s Vibration Control under Resonance with a Negative Velocity Feedback Control and Time Delay
作者机构：Department of MathematicsFaculty of ScienceZagazig UniversityZagazigEgypt Department of Engineering Physics and MathematicsFaculty of EngineeringTanta UniversityTantaEgypt
出 版 物：《Sound & Vibration》 (声音与振动（英文）)
年 卷 期：2021年第55卷第3期
页 面：191-201页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Non-linear dynamical system multiple time scales method active feedback controller time delay
摘 要：An externally excited Duffing oscillator under feedback control is discussed and analyzed under the worst resonance *** time scales method is applied for this system to find analytic solution with the existence and nonexistence of the time delay on control *** 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 *** response curves are involved to show and compare controller *** addition,analytic solutions are compared with numerical approximation solutions using Rung-Kutta method of fourth order.
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