Gyroscopic Stabilization of Indefinite Damped Systems

Wolfhard Kliem, Peter C. Müller

    Research output: Book/ReportReportResearchpeer-review


    The paper deals with linear systems of differential equationswith symmetric system matrices M,D, and K.The mass matrix M and the stiffness matrix K are both assumed to bepositive definite. The damping matrix D is indefinite. Three questionsare of interest: 1) When is the system unstable? Apparently not always,if the matrix D is indefinite. 2) What can we say about conditions whichensure that an unstable system can be stabilized by adding a gyroscopicterm Gdx/dt? 3) What is, in this case, a suitable or optimal matrixG? The questions are answered in the frame of a first order perturbationapproach.
    Original languageEnglish
    Number of pages6
    Publication statusPublished - 1996
    EventGAMM Wissentschafliche Jahrestagung - Prague
    Duration: 1 Jan 1996 → …


    ConferenceGAMM Wissentschafliche Jahrestagung
    Period01/01/1996 → …

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