A Precise Bound For Gyroscopic Stabilization

Rostyslav Hryniv, Wolfhard Kliem, Peter Lancaster, Christian Pommer

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We consider gyroscopic systems Mx(t) + hGx(t) + Kx(t) = 0 where M > 0, G(T) = -G, and K < 0. A is shown how to compute a critical value of parameter (h) over cap which (in many cases) separates stable and unstable regimes for gyroscopic stabilization. Comparison is made with some known, sufficient conditions for stability or instability, and a theory is developed (including the formulation of a related Lyapunov function) which unifies several earlier results concerning systems of this kind. Numerical examples are included.
    Original languageEnglish
    JournalZeitschrift fuer Angewandte Mathematik und Mechanik
    Volume80
    Issue number8
    Pages (from-to)507-516
    ISSN0044-2267
    DOIs
    Publication statusPublished - 2000

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