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.