Bifurcation and chaos of a two-degree-of-freedom non-smooth system with piecewise-linearity

In this paper,the bifurcation and chaos of periodic motions of a two-degree-of-freedom non-smooth system with piecewise-linearity is studied.The switching matrix is given out at the switching boundaries and the Neimark-Sacker bifurcation and period-doubling bifurcation of periodic motions of the system are investigated by the Floquet theory.We establish Poincare map is established as well as further study of Neimark-Sacker bifurcation,in other words,period-doubling bifurcation and subharmonic bifurcation in the non-smooth system by means of numerical simulations.It is possible to optimize the parameters of the practical system by investigation of bifurcation and chaos in the soft impact system.