Open Access

ARTICLE

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

by Y. A. Amer¹, A. T. EL-Sayed², M. N. Abd EL-Salam^3,*

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:

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

Received 31 May 2020; Accepted 24 December 2021; Issue published 25 March 2022

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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Keywords

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