ON THE STABILITY AND CONTROL OF VIBRATIONS IN NONLINEAR DYNAMICAL SYSTEMS

SALEM, NOURA (2015) ON THE STABILITY AND CONTROL OF VIBRATIONS IN NONLINEAR DYNAMICAL SYSTEMS. Masters thesis, Al Azhar University Gaza.

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Abstract

In this study, different controllers have been applied to investigate and suppress the vibrations of a second-order nonlinear dynamical system. Active controllers such as the position feedback (PF), negative velocity feedback (VF) and negative cubic velocity feedback controller are related directly to the considered system. While Passive controllers such as the nonlinear saturation (NS) and positive position feedback (PPF) controllers involve a second nonlinear oscillator coupled with the main system. The system under investigation is subjected to external and parametric excitation forces. The method of multiple scales as one of the perturbation techniques is used to reduce the second-order nonlinear differential equation into a set of two first-order differential equations that govern the time variation of the amplitude and phase of the response, and obtain the response equation near various resonance cases. The stability of the system is investigated by applying frequency response equations and phase-plane. The numerical solution and the effects of the parameters on the vibrating system are studied and reported. The simulation results are achieved using Maple13 software.

Item Type: Thesis (Masters)
Subjects: Q Science > Q Science (General)
Depositing User: أ. طارق زياد عبد حنونة
Date Deposited: 18 Aug 2020 08:55
Last Modified: 18 Aug 2020 08:55
URI: http://scholar.alaqsa.edu.ps/id/eprint/2083

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