Non-linear Saturation Controller to Reduce the Vibrations of Vertical Conveyor Subjected to External Excitation

Main Article Content

Y. A. Amer
A. T. EL-Sayed
M. N. Abd EL-Salam

Abstract

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.

Keywords:
NSC, multiple scale perturbation, stability, vertical conveyor, simultaneous resonance

Article Details

How to Cite
Amer, Y. A., EL-Sayed, A. T., & EL-Salam, M. N. (2018). Non-linear Saturation Controller to Reduce the Vibrations of Vertical Conveyor Subjected to External Excitation. Asian Research Journal of Mathematics, 11(2), 1-26. https://doi.org/10.9734/ARJOM/2018/44590
Section
Original Research Article