Stability analysis of a rotor-AMB system with time varying stiffness |
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| Authors: | HS Bauomy |
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| Institution: | 1. Department of Electrical and Computer Engineering, University of New Hampshire, Durham, NH 03824, USA;2. Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA 22904-4746, USA;3. Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, Charlottesville, VA 22904-4743, USA;1. UIET, Panjab University, Chandigarh, 160014, India;2. Department of Mechanical Engineering, Jadavpur University, Kolkata, West Bengal, India;3. Department of Mechanical Engineering, IIT Delhi, Hauz Khas, New Delhi, India |
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| Abstract: | A rotor-active magnetic bearing (AMB) system subjected to a periodically time-varying stiffness with quadratic and cubic nonlinear under tuned, and external excitation is studied. The method of multiple scales is applied to analyze the response of two modes of a rotor-AMB system near the simultaneous combined and sub-harmonic resonance. The stability of the steady-state solution for that resonance is determined and studied applying Rung–Kutta fourth order method. It is shown that the system exhibits many typical nonlinear behaviors, including multiple-valued solutions, jump phenomenon, hardening and softening nonlinear and chaos in the second mode of the system. The effects of the different parameters on the steady-state solutions are investigated and discussed. |
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