Abstract
The interaction of parametric and self-oscillations in the presence of a delay in damping and a source of energy of limited power is considered. For the analysis, a widespread model of a mechanical frictional self-oscillating system was used. The solution of nonlinear differential equations describing the dynamics of the system is carried out using the method of direct linearization of nonlinearity, which has a number of advantages over the known methods of nonlinear mechanics (labor and time costs are reduced by several orders of magnitude; it is possible to obtain final design relations regardless of the specific type and degree of nonlinearity; there are no time-consuming and complex approximations of various orders inherent in known methods). Equations of non-stationary and stationary motions are obtained and conditions for stability of stationary oscillations are de-rived. Calculations were carried out to obtain information on the effect of the delay in damping on the dynamics of oscillations. It is established that, depending on the magnitude of the delay, the amplitude-frequency curves change their appearance, shift up/down.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
