Solution of the Lyapunov matrix equation for a system with a time-dependent stiffness matrix

Christian Pommer, Wolfhard Kliem

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    The stability of the linearized model of a rotor system with non-symmetric strain and axial loads is investigated. Since we are using a fixed reference system, the differential equations have the advantage to be free of Coriolis and centrifugal forces. A disadvantage is nevertheless the occurrence of time-dependent periodic terms in the stiffness matrix. However, by solving the Lyapunov matrix equation we can formulate several stability conditions for the rotor system. Hereby the positive definiteness of a certain averaged stiffness matrix plays a crucial role.
    Original languageEnglish
    JournalZeitschrift fuer Angewandte Mathematik und Mechanik
    Volume84
    Issue number1
    Pages (from-to)48-52
    ISSN0044-2267
    DOIs
    Publication statusPublished - 2004

    Keywords

    • Stability
    • Time-dependent Lyapunov matrix equation
    • Rotor systems

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