Effect of the Negative Velocity Feedback Control for Reducing the Primary Resonance Vibration of a Magnetic Levitation System using the Harmonic Balance Method

Authors

F. O. Darwesh, Basic Science Department, Higher Technology Instutite, Tenth of Ramadan City, EgyptFollow
Y. A. Amer, Mathematics Department, Faculty of Science, Zagazig University, EgyptFollow
K. R. Raslan, Mathematics Department, Faculty of Science, AlAzhar University, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In order to reduce the primary resonance vibration of a magnetic levitation system, this paper investigated the effect of applying negative linear velocity feedback control. External and parametric forces that were linear, quadratic and cubic were exposed to the system under analysis. The control of linear velocity feedback shows that it is better to reduce the resulting vibration than the cubic one. To obtain the response system and analyze the stability of it, the harmonic balance method (HBM) was applied. It is confirmed that it is stable overall. Comparison of the approximate and numerical solutions and the effect of the response system parameters were analyzed using MATLAB 14.0. The response system shows that only the coefficient of the linear force is affected, while the coefficients of the quadratic and cubic forces have no effect on the response system.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150314

Recommended Citation

O. Darwesh, F.; A. Amer, Y.; and R. Raslan, K. (2021) "Effect of the Negative Velocity Feedback Control for Reducing the Primary Resonance Vibration of a Magnetic Levitation System using the Harmonic Balance Method," Applied Mathematics & Information Sciences: Vol. 15: Iss. 3, Article 14.
DOI: http://dx.doi.org/10.18576/amis/150314
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss3/14