DYNAMICS OF A BODY UNDER THE IMPULSE FORCE AND WITH OSCILLATION LIMITER

The paper investigates the dynamics of a body under piecewise constant periodic force with an arbitrary duty cycle and in presence oscillation limiter. mathematical model is strongly nonlinear non-autonomous dynamical system truncated phase space along one coordinates. Using point mapping method for (vibro-impact) systems, equations two-dimensional Poincare map are obtained form explicit analytical formulas. relations made it possible to effectively study rearrangements arbitrarily complex motions both finite infinite number fixed points, depending on change parameters system. This allowed us represent first time that define parameter boundaries existence stability domain points surface (corresponds infinitely impact mode motion). numerical experiments presented using software product developed C++ language present bifurcation diagrams clearly demonstrate ranges values chaotic motion modes body. A scenario emergence chaos has been established. transition overload from carried out according period doubling. Comparison analysis results different sets (overload parameter) showed their good agreement.