On a Parametric Resonance Problem

摘要

In the paper a problem of finding instability domains of a rotating system with periodically varying moment of inertia is considered. An equation describing small torsional oscillations of the system with periodic coefficients dependent on four parameters including damping is derived. A new method of stability study based on behaviour of the Floquet multipliers is presented. Analytical and numerical results for instability domains in parameter space are obtained and discussed in detail.