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dc.contributor.authorJi, J.en
dc.contributor.authorHansen, C.en
dc.identifier.citationJournal of Vibration and Acoustics-Transactions of the Asme, 2005; 127(4):362-369en
dc.description.abstractThis paper is concerned with a study of the influence of a time delay occurring in a PD feedback control on the dynamic stability of a rotor suspended by magnetic bearings. In the presence of geometric coordinate coupling and time delay, the equations of motion governing the response of the rotor are a set of two-degree-of-freedom nonlinear differential equations with time delay coupling in nonlinear terms. It is found that as the time delay increases beyond a critical value, the equilibrium position of the rotor motion becomes unstable and may bifurcate into two qualitatively different kinds of periodic motion. The resultant Hopf bifurcation is associated with two coincident pairs of complex conjugate eigenvalues crossing the imaginary axis. Based on the reduction of the infinite dimensional problem to the flow on a four-dimensional center manifold, the bifurcating periodic solutions are investigated using a perturbation method.en
dc.description.statementofresponsibilityJ. C. Ji and Colin H. Hansenen
dc.publisherASME-Amer Soc Mechanical Engen
dc.titleHopf bifurcation of a magnetic bearing system with time delayen
dc.typeJournal articleen
pubs.library.collectionMechanical Engineering publicationsen
dc.identifier.orcidHansen, C. [0000-0002-1444-4716]en
Appears in Collections:Mechanical Engineering publications
Environment Institute publications

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