Study of the impact of perturbations forces in a system of frictional self-oscillations with the Van der Pol characteristic taking into account the nonlinearities of a complex structure

The influence of disturbing forces in a system of frictional self-oscillations with a Van der Pol characteristic is investigated. In the differential equations of the research methodology, three types of external forces periodic disturbances are taken into account: harmonic, impulsive and shock, as well as the presence of various types of complex nonlinearities elastic, dissipative, or simultaneously elastic and dissipative. To reduce the amplitude of oscillations, sometimes reaching significant values, force action is introduced into the system. Its structure and parameters are determined based on the methods of the theory of harmonic linearization and optimal control.