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.
|Journal||Zeitschrift fuer Angewandte Mathematik und Mechanik|
|Publication status||Published - 2000|