Akademik Məlumat İdarəetmə Sistemi
International Symposium on Computer Science, Digital Economy and Intelligent Systems (CSDEIS), Moscow, Russia, 4 - 06 October 2019, pp.404-413, (Full Text)
An external self-oscillatory system with an energy source of limited power (limited excitation) is considered. The friction force that causes self-oscillation contains a lagging. Using the methods of direct linearization, the equations of non-stationary motions are obtained. The stationary oscillations and their stability are considered. Stability conditions for steady-state oscillations are derived using the Routh-Hurwitz criteria. To obtain information on the effect of time lag on the characteristics of stationary regimes, calculations were carried out. Calculations were performed to obtain information on the effect of the delay on the characteristics of stationary modes. As from obtained results, they are completely qualitatively similar to those obtained using the well-known methods of nonlinear mechanics. There are only small quantitative differences. At the same time, the application of the direct linearization method is quite simple, it requires significantly (several orders of magnitude) less time and labor costs compared with the known methods of nonlinear mechanics.