Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller

Du, Tingchen; Geng, Haipeng; Wang, Bo; Lin, Hao; Yu, Lie

doi:10.1007/s11071-022-07557-6

Cited by 6 publications

(2 citation statements)

References 36 publications

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“…From the solution of this equation we can find the values of the angular velocity of the rotor 0  , at which the amplitudes of the forced and self-oscillations of the rotor and foundation will have maximum values [28].…”

Section:  mentioning

confidence: 99%

Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Kydyrbekuly,

Zhauyt,

Ibrayev

2023

Preprint

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The generalized dynamic model of the rotor system, presented in the paper, is the first model that takes into account the interconnected oscillations of the “rotor - weakly conductive fluid – foundation” system under the action of such parameters as fluid and rotor motion, linear eccentricity, friction forces, foundation vibration and nonlinear characteristics of rolling bearings, as well as the action of a magnetic field on the fluid. Consistent equations of motion for the system “rotor - weakly conductive fluid – foundation” were derived and solved analytically. Forced and natural oscillations of the system were analyzed, and the distinctive features of the rotor system dynamics were revealed. The values of frequencies and amplitudes, which are one of the main factors determining the dynamic behavior of the system, were obtained and studied.

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Section:  mentioning

confidence: 99%

Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Kydyrbekuly,

Zhauyt,

Ibrayev

2023

Preprint

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“…From the solution of this equation, we can find the values of the angular velocity of the rotor Ω 0 , at which the amplitudes of the forced and self-oscillations of the rotor and foundation will have maximum values [45].…”

Section: ∂(Ur) ∂Rmentioning

confidence: 99%

Parametric Analysis of Nonlinear Oscillations of the “Rotor–Weakly Conductive Viscous Fluid–Foundation” System under the Action of a Magnetic Field

Kydyrbekuly,

Zhauyt,

Ibrayev

2023

Applied Sciences

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The generalized dynamic model of the rotor system, presented in this paper, is the first model that takes into account the interconnected oscillations of the “rotor–weakly conductive fluid–foundation” system under the action of parameters such as fluid and rotor motion, linear eccentricity, friction forces, foundation vibration and nonlinear characteristics of rolling bearings, as well as the action of a magnetic field on the fluid. Consistent equations of motion for the “rotor–weakly conductive fluid–foundation” system were derived and solved analytically. Forced and natural oscillations of the system were analyzed, and the distinctive features of the rotor system dynamics were revealed. The values of frequencies and amplitudes, which are one of the main factors determining the dynamic behavior of the system, were obtained and studied.

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Non-contact electromagnetic control of torsional vibrations of a rigid cylinder

Atzampou,

Meijers,

Tsouvalas

et al. 2024

Nonlinear Dyn

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The successful deployment of offshore wind turbines hinges on the installation process, particularly the temporary suspension of the turbine components during assembly. External factors or imbalances in control forces can induce vibrations, emphasizing the need for precise control, especially in the torsional mode, to ensure the delicate alignment required for bolted connections. This paper introduces a contactless technique to control the torsional vibrations of a rigid cylinder using electromagnetic interaction between two magnets, incorporating magnetically-imposed damping and active control algorithms. The magnetically-imposed dissipation is achieved by introducing nonlinear damping into the system, i.e. by controlling the orientation of the field exerted by the electromagnetic actuator. Leveraging the nonlinear coupling of the interaction between the magnets and the modification of the stable equilibrium position, the results show a satisfactory active control performance (low residual error and swift response). The key parameters for control efficiency are identified as the separation distance between the magnets, the fluctuation step of the actuator’s magnetic field, and the magnetically-induced stiffness relative to the inherent stiffness of the system. Consequently, the proposed method lays a promising foundation for a non-contact control technique, particularly valuable in offshore wind turbine installations.

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Nonlinear oscillation of active magnetic bearing–rotor systems with a time-delayed proportional–derivative controller

Cited by 6 publications

References 36 publications

Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Parametric Analysis of Nonlinear Oscillations of the “Rotor-Weakly Conductive Viscous Fluid-Foundation” System under the Action of a Magnetic Field

Parametric Analysis of Nonlinear Oscillations of the “Rotor–Weakly Conductive Viscous Fluid–Foundation” System under the Action of a Magnetic Field

Non-contact electromagnetic control of torsional vibrations of a rigid cylinder

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