Self-Oscillations in Delay and Limited Power of the Energy Source

Abstract

Mixed self-oscillations, forced and parametric oscillations with a nonlinear friction force with a retarded argument and an energy source of limited power are considered. The averaging method is used to derive the equations of non-stationary and stationary motions. Using the Routh-Hurwitz criterion, stability conditions for stationary motions are obtained. Calculations are performed to obtain information on the amplitude-frequency-frequency dependence and stability of oscillations under the action of delay and the presence of limited power of the energy source.