A rotor unbalance response based approach to the identification of the closed-loop stiffness and damping coefficients of active magnetic bearings

Zhou, Jin; Di, Long; Cheng, Chonghu; Xu, Yuanping; Lin, Zongli

doi:10.1016/j.ymssp.2015.06.008

Cited by 38 publications

(15 citation statements)

References 10 publications

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“…where σ 1 and σ 2 are two different detuning parameters. Substituting equations (15) and (16) into equations (13a) and (13b), the two-degree-of-freedom dimensionless nonlinear system under combined parametric and forcing excitations is obtained as follows:…”

Section: Asymptotic Perturbation Methodsmentioning

confidence: 99%

“…e parameters of the model were identified by using the finite element method. Zhou et al [15,16] gave a method for identifying the closed-loop AMB stiffness and damping coefficients based on the rotor unbalance responses. Ebrahimi et al [17] gave the chaotic vibration analysis of a coaxial rotor system in the active magnetic bearings and contact with the auxiliary bearings.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

Zhang

2020

Shock and Vibration

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The asymptotic perturbation method is used to analyze the nonlinear vibrations and chaotic dynamics of a rotor-active magnetic bearing (AMB) system with 16-pole legs and the time-varying stiffness. Based on the expressions of the electromagnetic force resultants, the influences of some parameters, such as the cross-sectional area Aα of one electromagnet and the number N of windings in each electromagnet coil, on the electromagnetic force resultants are considered for the rotor-AMB system with 16-pole legs. Based on the Newton law, the governing equation of motion for the rotor-AMB system with 16-pole legs is obtained and expressed as a two-degree-of-freedom system with the parametric excitation and the quadratic and cubic nonlinearities. According to the asymptotic perturbation method, the four-dimensional averaged equation of the rotor-AMB system is derived under the case of 1 : 1 internal resonance and 1 : 2 subharmonic resonances. Then, the frequency-response curves are employed to study the steady-state solutions of the modal amplitudes. From the analysis of the frequency responses, both the hardening-type nonlinearity and the softening-type nonlinearity are observed in the rotor-AMB system. Based on the numerical solutions of the averaged equation, the changed procedure of the nonlinear dynamic behaviors of the rotor-AMB system with the control parameter is described by the bifurcation diagram. From the numerical simulations, the periodic, quasiperiodic, and chaotic motions are observed in the rotor-active magnetic bearing (AMB) system with 16-pole legs, the time-varying stiffness, and the quadratic and cubic nonlinearities.

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Section: Asymptotic Perturbation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

Zhang

2020

Shock and Vibration

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“…Wang et al [16] combined the rational polynomial method with the weighted instrumental variable estimator to fit the directional frequency response function and identified the damping ratio of the first forward and backward modes of rotor systems. Zhou et al [17] estimated the closedloop stiffness and damping coefficients of active magnetic bearings (AMB) using the -5 -unbalance responses of rotor, and validated the identification results with a flexible rotor-AMB test rig. Zhou et al [18] performed an experimental study to recognize the bearing parameters and establish their features under varieties of operation conditions, and found by experiments that the linear oil-film dynamic coefficients were sensitive to the excitation load.…”

Section: Introductionmentioning

confidence: 98%

Identification of oil-film coefficients for a rotor-journal bearing system based on equivalent load reconstruction

Liu

Han

et al. 2016

Tribology International

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In this paper, a laboratory method based on equivalent dynamic load reconstruction is proposed for the identification of oil-film coefficients. When modeling the rotor, the oil-film supports are considered as its dynamic load boundary conditions. Consequently, the identification of oil-film coefficients is first converted to the reconstruction of equivalent dynamic loads. Through Green's function method and regularization, the equivalent dynamic oil-film loads can be steadily and precisely reconstructed. Then, according to the mechanical relationships between the oil-film properties and the corresponding equivalent loads, the oil-film stiffness and damping coefficients are identified using least square scheme. A rotor structure with two journal bearings is investigated and the identification results of oil-film coefficients demonstrate the validity and accuracy of the proposed method.

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“…A method with multi-frequency excitation for measurement of equivalent stiffness and damping of the active magnetic bearing rotor was presented [7]. From the unbalance response [8,9] and frequency characteristics [10], similar kinds of magnetic bearing parameter identification approaches were found. For ball bearing systems, the parameters were identified with simulated and experimental data [11].…”

Section: Introductionmentioning

confidence: 99%

An optimized bearing parameter identification approach from vibration response spectra

Mutra¹,

Srinivas²

2019

J. vibroeng.

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In the present work, an effective identification methodology bearing dynamic parameters using measured vibration responses at the bearing is proposed. The flexible rotor is analyzed by using finite element beam model with nonlinear hydrodynamic bearing forces due to floating ring bearing supports. The frequency domain responses at different operating speeds are initially obtained in both the lateral directions. The error function is formulated as an average difference in amplitudes of two lateral displacements at a bearing node with known reference signals over a frequency range. The design variables are the speed dependent direct and cross-coupled stiffness and damping parameters of the bearing. With the side constraints on the variables, the error is minimized by using a modified particle swarm optimization scheme. The accuracy of the approach is tested with noisy input signals.

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A rotor unbalance response based approach to the identification of the closed-loop stiffness and damping coefficients of active magnetic bearings

Cited by 38 publications

References 10 publications

Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom

Identification of oil-film coefficients for a rotor-journal bearing system based on equivalent load reconstruction

An optimized bearing parameter identification approach from vibration response spectra

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