динамическая устойчивость

The main moments of the historical development of one of the basic methods of nonlinear systems investigating (the averaging method) are traced. This method is understood as a transition from the so-called exact equation:

The paper examines the impact of the slow movements to effective values of dissipative forces in the equations of fast motion of oscillatory system. It was previously shown that the dissipative characteristics obtained experimentally under harmonic oscillations can change significantly with polyharmonic excitation. In this paper the problem is considered in more detail in relation to the determination of the resonance amplitudes and threshold conditions for parametric and subharmonic resonances.