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A Suitable Active Control for Suppression the Vibrations of a Cantilever Beam

Y. A. Amer1, A. T. EL-Sayed2, M. N. Abd EL-Salam3,*

1 Mathematics Department, Science Faculty, Zagazig University, Zagazig, Egypt
2 Basic Sciences Department, Modern Academy for Engineering and Technology, Cairo, Egypt
3 Basic Sciences Department, Higher Technological Institute, 10th of Ramadan City, Egypt

* Corresponding Author: M. N. Abd EL-Salam. Email: email

Sound & Vibration 2022, 56(2), 89-104. https://doi.org/10.32604/sv.2022.011838

Abstract

In our consideration, a comparison between four different types of controllers for suppression the vibrations of the cantilever beam excited by an external force is carried out. Those four types are the linear velocity feedback control, the cubic velocity feedback control, the non-linear saturation controller (NSC) and the positive position feedback (PPF) controller. The suitable type is the PPF controller for suppression the vibrations of the cantilever beam. The approximate solution obtained up to the first approximation by using the multiple scale method. The PPF controller effectiveness is studied on the system. We used frequency-response equations to investigate the stability of a cantilever beam. We notified that, there is a good agreement between the analytical solution and the numerical solution.

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Amer, Y. A., EL-Sayed, A. T., N., M. (2022). A Suitable Active Control for Suppression the Vibrations of a Cantilever Beam. Sound & Vibration, 56(2), 89–104.



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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