Effects of Damping and Circulatory Forces on Dynamic Instability of Gyroscopic Conservative Continuous Systems

ABSTRACT The title problem is studied, with emphasis on the small damping and circulatory force case. It is shown that small internal and/or external damping forces and/or smalt (as well as large) circulatory forces in general destabilize an otherwise stable gyroscopic conservative system. A condition for no destabilizing effects of these small forces is obtained, A concept of "perfect" system in elastic stability of nonconservative problems is also presented. An example problem is given for demonstration purposes.