Non-linear Saturation Controller to Reduce the Vibrations of Vertical Conveyor Subjected to External Excitation
Y. A. Amer, A. T. EL-Sayed, M. N. Abd EL-Salam
Asian Research Journal of Mathematics · pp. 1–26 · Published 29 Oct 2018
10.9734/ARJOM/2018/44590Abstract
In this article, We adjusted the equations by using non-linear saturation controller (NSC) to control the vibrations of vertical conveyor. The system described by a four-degree-of-freedom (4-DOF) including the cubic non-linear terms and external excitations. We applied the multiple scale perturbation technique (MSPT) to obtain the approximate solution. The time histories of the system are investigated numerically with and without NSC control. We investigated the frequency response equations at the simultaneous resonance case (Ω1≅ω1, Ω2≅ω2, ω1≅2ω3, ω2≅2ω4) numerically using Runge-Kutta of fourth order. We studied the numerical simulation to obtain the effectiveness of the different parameters on the system using MATLAB program. Finally, we submitted a comparison of previously published studies.
Cited by 11
Y. Amer, R. K. Hussein, Sharif Abu Alrub · Mathematics · 2025
M. N. Abd el-Salam, R. K. Hussein · Mathematics · 2025
M. el-Sayed, Y. Amer · Bulletin of Faculty of Science, Zagazig University · 2023
H. S. Bauomy, A. T. el-Sayed, F. T. El-Bahrawy · Alexandria Engineering Journal · 2023
H. S. Bauomy, A. T. el-Sayed · 2020
Y. Amer, A. T. el-Sayed, M. N. Abd el-Salam · 2020
A. Mitura, R. Rusinek · IOP Conference Series: Materials Science and Engineering · 2020
Y. S. Hamed, Hammad Alotaibi, E. R. El-Zahar · IEEE Access · 2020
R. E. Abdullah, Department of Mathematics, Saxony Egypt University for Applied Science and Technology, Cairo 11511, Egypt, Rageh K. Hussein · AIMS Mathematics · 2025
Sarah K. El-Din Gad, Hany Samih Bauomy, Ashraf Taha EL-Sayed · Journal of Low Frequency Noise, Vibration and Active Control · 2025
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