ABSTRAKT

The nonconservative boundary value problem, which is a mathematical model of controlled machine aggregate with distributed parameters, is formulated. The approximate method of determination of complex eigenvalues of the nonconservative boundary problem enables to obtain the conditions of excitation of unstable vibrations or self-sustained vibrations in controlled machine aggregates in the analytical form. It is shown that small variations of the parameter of electromagnetic inertia of motor result in widening of the region of a frequency spectrum in which unstable vibrations may be excited.