Journal ArticleDOI
Resonance behavior of a rotor-active magnetic bearing with time-varying stiffness
Y. A. Amer,Usama H. Hegazy +1 more
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TLDR
In this article, the non-linear dynamic behavior of a rigid disc-rotor supported by active magnetic bearings (AMB) is investigated, without gyroscopic effects, and the steady-state response and the stability of the system at the simultaneous primary resonance case for various parameters are studied numerically, applying the frequency response function method.Abstract:
The non-linear dynamic behavior of a rigid disc-rotor supported by active magnetic bearings (AMB) is investigated, without gyroscopic effects. The rotor-AMB system is subjected to a periodically time-varying stiffness. The simultaneous primary resonance case is considered and examined. The vibration of the rotor is modeled by a coupled second-order non-linear ordinary differential equations with quadratic and cubic non-linearities. Their approximate solutions are sought applying the method of multiple scales. The steady-state response and the stability of the system at the simultaneous primary resonance case for various parameters are studied numerically, applying the frequency response function method. It is found that different shapes of chaotic motion exist, which are determined using phase-plane method. It is also shown that the system parameters have different effects on the non-linear response of the rotor. For steady-state response, however, multiple-valued solutions, jump phenomenon, hardening and softening non-linearity occur. Results are compared to previously published work.read more
Citations
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Journal ArticleDOI
Nonlinear dynamics near resonances of a rotor-active magnetic bearings system with 16-pole legs and time varying stiffness
Ruiqin Wu,Wei Zhang,Ming Hui Yao +2 more
TL;DR: In this article, the authors analyzed the complicated nonlinear dynamics of rotor-active magnetic bearings (rotor-AMB) with 16-pole legs and the time varying stiffness.
Journal ArticleDOI
Nonlinear Dynamics of Magnetic Bearing Systems
TL;DR: In this article, the authors present a simulation of magnetic bearing systems and show that the nonlinear properties of the magnetic bearing system can be neglected to simplify the analysis and only linear models are used.
Journal ArticleDOI
Time-delayed control to suppress the nonlinear vibrations of a horizontally suspended Jeffcott-rotor system
N. A. Saeed,W. A. El-Ganaini +1 more
TL;DR: In this paper, the vibration control of a horizontally suspended Jeffcott-rotor system having cubic and quadratic nonlinearities via time-delayed position-velocity controller is studied.
Journal ArticleDOI
A theoretical model for analyzing the dynamic behavior of a misaligned rotor with active magnetic bearings
TL;DR: In this paper, the magnetic forces acting on the rotor, the coil currents and the displacement of the rotor were obtained through an electromagnetic theory, and three simplified models of current biased radial active magnetic bearings were presented, where four, six and eight electromagnets were powered by the bias current i0 and respective control current.
Journal ArticleDOI
Active magnetic bearing-based tuned controller to suppress lateral vibrations of a nonlinear Jeffcott rotor system
N. A. Saeed,M. Kamel +1 more
TL;DR: In this paper, a tuned positive position feedback controller is proposed to control the lateral vibrations in a Jeffcott rotor system having cubic and quadratic nonlinearities, which can reduce the vibration amplitudes close to zero at any spinning speed even at large disc eccentricity.
References
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Journal ArticleDOI
Experiments on Nonlinear Dynamic Behavior of an Oscillator With Clearance and Periodically Time-Varying Parameters
Ahmet Kahraman,G. W. Blankenship +1 more
TL;DR: In this article, a number of experiments on a physical system with clearance having combined parametric and external forcing excitation are presented, demonstrating several nonlinear phenomena that exist in periodically excited oscillators subject to clearance at a contact interface.
Journal ArticleDOI
A variable stiffness vibration absorber for minimization of transient vibrations
P.L. Walsh,J.S. Lamancusa +1 more
TL;DR: In this article, an adaptable vibration absorber is proposed to minimize transient vibrations of rotating machines during start-up and shut-down conditions, and to adapt to changes in steady state operating speeds such as might occur in engines and pumps when load conditions vary.
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Stress, Stability and Chaos in Structural Engineering: An Energy Approach
TL;DR: In this article, the concepts of buckling, catastrophe and chaos theory are introduced for energy methods and applied to the application of energy methods in the field of computer science. But this text contains the fundamentals and applications of energy method.
Journal ArticleDOI
Interactions between commensurate parametric and forcing excitations in a system with clearance
Ahmet Kahraman,G. W. Blankenship +1 more
TL;DR: In this paper, the steady state forced response of a system with clearance subject to commensurate parametric and external forcing citation is investigated analytically by considering a mechanical oscillator with time-varying stiffness and a dead zone type clearance non-linearity.
Journal ArticleDOI
Non-linear oscillations of a rotor in active magnetic bearings
Jinchen Ji,Colin H. Hansen +1 more
TL;DR: In this article, the non-linear response of a rotor supported by active magnetic bearings is investigated, and both primary and internal resonances are considered, and the steady state response and the stability of the solutions are determined numerically from the reduced system.
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