Self-Induced Oscillations of Rotors With Gyroscopic Moments Present in the System (Simplest Case)

Abstract

The projections of the rotor displacements cannot often be expanded in series of characteristic functions of the transverse vibrations of the nonrotating shaft, as in (2.1). Such expansions can be used only when gyroscopic moments in the system are either absent or small. If the gyroscopic action of the mass is large enough, the characteristic functions and characteristic frequencies for direct and inverse precession of the rotor axis will differ considerably from one another, and the expansion of the displacement projections in series of characteristic functions of the nonrotating shaft (2.1) will not give sufficiently accurate results. The investigation of nonlinear vibrations of rotors with distributed and concentrated masses thus becomes much more difficult.