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

Y. A. Amer1, Taher A. Bahnasy2,*

1 Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
2 Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt

* Corresponding Authors: Taher A. Bahnasy. Email: email,email

(This article belongs to the Special Issue: Analytical Methods for Nonlinear Vibration & Active Control in Nano/Micro Devices and Systems)

Sound & Vibration 2021, 55(3), 191-201. https://doi.org/10.32604/sv.2021.014358

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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APA Style
Amer, Y.A., Bahnasy, T.A. (2021). Duffing oscillator’s vibration control under resonance with a negative velocity feedback control and time delay. Sound & Vibration, 55(3), 191-201. https://doi.org/10.32604/sv.2021.014358
Vancouver Style
Amer YA, Bahnasy TA. Duffing oscillator’s vibration control under resonance with a negative velocity feedback control and time delay. Sound Vib . 2021;55(3):191-201 https://doi.org/10.32604/sv.2021.014358
IEEE Style
Y.A. Amer and T.A. Bahnasy, "Duffing Oscillator’s Vibration Control under Resonance with a Negative Velocity Feedback Control and Time Delay," Sound Vib. , vol. 55, no. 3, pp. 191-201. 2021. https://doi.org/10.32604/sv.2021.014358



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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