Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom
Joint Authors
Zhang, Wei
Wu, R. Q.
Siriguleng, B.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-14
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Wei& Wu, R. Q.& Siriguleng, B.. 2020. Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom. Shock and Vibration،Vol. 2020, no. 2020, pp.1-29.
https://search.emarefa.net/detail/BIM-1209995
Modern Language Association (MLA)
Zhang, Wei…[et al.]. Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom. Shock and Vibration No. 2020 (2020), pp.1-29.
https://search.emarefa.net/detail/BIM-1209995
American Medical Association (AMA)
Zhang, Wei& Wu, R. Q.& Siriguleng, B.. Nonlinear Vibrations of a Rotor-Active Magnetic Bearing System with 16-Pole Legs and Two Degrees of Freedom. Shock and Vibration. 2020. Vol. 2020, no. 2020, pp.1-29.
https://search.emarefa.net/detail/BIM-1209995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209995