The problem of finding the regions of instability of a system with a periodically varying moment of inertia is considered. An equation is derived which describes small torsional oscillations of a system with periodic coefficients, which depend on four constant parameters, including damping. A method of investigating stability based on an analysis of the behaviour of Floquet multipliers is described. Analytical expressions are obtained for the regions of instability (parametric resonance) in parameter space. Numerical examples are given.
Instability regions for a system with periodically varying moment of inertia
CATTANI, Carlo;
2005
Abstract
The problem of finding the regions of instability of a system with a periodically varying moment of inertia is considered. An equation is derived which describes small torsional oscillations of a system with periodic coefficients, which depend on four constant parameters, including damping. A method of investigating stability based on an analysis of the behaviour of Floquet multipliers is described. Analytical expressions are obtained for the regions of instability (parametric resonance) in parameter space. Numerical examples are given.File in questo prodotto:
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