Ji, J. C. Dynamics of a Jeffcott rotor-magnetic bearing system with time delays. (English) Zbl 1348.93031 Int. J. Non-Linear Mech. 38, No. 9, 1387-1401 (2003). Summary: A Jeffcott rotor with an additional magnetic bearing locating at the disc is employed to investigate the effect of time delays on the non-linear dynamical behavior of the system. The time delays are presented in the proportional and derivative feedback, respectively. For the corresponding autonomous system, a linear stability analysis is performed for the system with two identical time delays in the control loop. The nature of a single Hopf bifurcation is determined by constructing a center manifold. For the non-autonomous system, the primary resonance response is studied for its small non-linear motions using the method of averaging. The effects of time delays and control gains, as well as excitation amplitude, on the amplitude of the steady-state response are investigated. Finally, experiments are carried out to validate the theoretical predictions. Cited in 8 Documents MSC: 93A30 Mathematical modelling of systems (MSC2010) 93C20 Control/observation systems governed by partial differential equations 70Q05 Control of mechanical systems Keywords:Jeffcott rotor; Magnetic bearing; Time delay; Stability; Hopf bifurcation; Primary resonance PDFBibTeX XMLCite \textit{J. C. Ji}, Int. J. Non-Linear Mech. 38, No. 9, 1387--1401 (2003; Zbl 1348.93031) Full Text: DOI