Parametrically Excited Linear Nonconservative Gyroscopic Systems*

摘要

This paper presents an analytical method, based on the multiple scales method, for analyzing parametrically excited linear nonconservative gyroscopic systems having many degrees of freedom and distinct frequencies, where excitation and damping are small. Explicit first-order expressions for stability boundaries are obtained. Various resonances are treated. Some of these results are applied in stability analysis of asymmetric dual-spin spacecraft.