Abstract
AbstractIn previous studies of linear rotary systems with active magnetic bearings, parametric excitation was introduced as an open-loop control strategy. The parametric excitation was realized by a periodic, in-phase variation of the bearing stiffness. At the difference between two of the eigenfrequencies of the system, a stabilizing effect, called anti-resonance, was found numerically and validated in experiments. In this work, preliminary results of further exploration of the parametric excitation are shared. A Jeffcott rotor with two active magnetic bearings and a disk is investigated. Using Floquet theory, a deeper insight into the dynamic behavior of the system is obtained. Aiming at a further increase of stability, a phase difference between excitation terms is introduced.
Funder
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering
Reference13 articles.
1. Awrejcewicz, J.: Biforcation Portrait of the human vocal cord oscillations. J. Sound Vib. 136, 151–156 (1990)
2. Cesari, L.: Sulla stabilità delle soluzioni dei sistemi di equazioni differenziali lineari a coefficienti periodici (On the stability of systems of linear differential equations with periodic coefficients) Reale Accademia d’Italia, Rome (1940)
3. Dohnal, F.: General parametric stiffness excitation: anti-resonance frequency and symmetry. Acta Mech. 196, 15–31 (2008)
4. Dohnal, F.: A contribution to the mitigation of transient vibrations, parametric anti-resonance: theory, experiment and interpretation Habilitation thesis. Technical University of Darmstadt, Darmstadt (2012)
5. Dohnal, F., Chasalevris, A.: Inducing modal interaction during run-up of a magnetically supported rotor In: 13th International Conference in Dynamical Systems Theory and Applications DSTA (2015)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献