Periodic solution of non-symmetrical rotor vibration

Abstract

The presentation deals with an approach to periodic solution of rotor vibration represented by time dependent mathematical model. The non-symmetrical rotor is modelled in rotating coordinate system and for this reason the coefficient matrices are constant. On the contrary the stiffness matrix of the bearings is time periodically dependent. For the solution was used collocation of the describing matrix integral equation whose result is vector displacement expressed in the individual collocation points. The periodic progress of displacements is checked by time by Runge-Kutta continuation.