Abstract
Active magnetic bearings (AMBs) could be utilized widely in engineering field. Their complicated dynamics mainly arise from the electromagnetic force which is a nonlinear function of the displacement of the rotor and the controlling current. An understanding of the dynamical characteristics of these structural systems is essential for their design and control. In present work, from the control equations developed in the former paper, the motions in the horizontal and vertical directions of the rotor-AMBs system with 8-pole legs and the time-varying stiffness are formulated by equations with quadratic and cubic nonlinearities and parametric excitation. Using the multiple scale method we have studied the simultaneous resonance of a two-to-one internal resonance and a primary resonance for this system. With numerical simulation, it is found that we can change the motions which represent the amplitudes and phases of the system's approximate solution with regard to the second time scale among periodic, quasi-periodic and chaotic states by choosing different parameters.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
