Stability of Rotor Systems: A Complex Modelling Approach

Wolfhard Kliem, Christian Pommer, Jakob Stoustrup

    Research output: Book/ReportReportResearchpeer-review

    Abstract

    A large class of rotor systems can be modelled by a complex matrix differential equation of secondorder. The angular velocity of the rotor plays the role of a parameter. We apply the Lyapunov matrix equation in a complex setting and prove two new stability results which are compared with the results of the classical approach using Rayleighquotients. Several rotor systems are tested: a simple Laval rotor, a Laval rotor with additional elasticity and damping in thr bearings, and a number of rotor systems with complex symmetric 4x4 randomly generated matrices.
    Original languageEnglish
    Number of pages12
    Publication statusPublished - 1996
    EventGAMM-Wissenschafliche Jahrestagung - Prague
    Duration: 1 Jan 1996 → …

    Conference

    ConferenceGAMM-Wissenschafliche Jahrestagung
    CityPrague
    Period01/01/1996 → …

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