THE GENERALIZED CHARACTERISTIC EQUATION OF STABILITY OF ROTOR MACHINES WITH THE AUTOBALANCER

A.N. Gorbenko

The problem of nonlinear stability of the multimass passive autobalancer installed on rotor machine is considered in the article. On the basis of the perturbed movement equations with the sum generalized coordinates of the autobalancer the generalized characteristic equation for the analysis of stability of mechanical system is received. Procedure of reduce of an order of the characteristic equation for the following approached analysis is offered. The generalized formulas which allow to estimate a spectrum of eigenvalues and region of autobalancing stability of rotor machine are received. Special cases are considered.

Key words: rotor machine, rotor, autobalancing, the passive autobalancer, stability, the characteristic equation.