The period doubling bifurcation and the Neimark-Sacker bifurcation of the multi-degree-of-freedom vibro-impact system with clearance are studied in this paper. The periodic solution of vibro-impact system is solved and a six-dimensional Poincare map is established, and the doubling bifurcation and the Neimark-Sacker bifurcation are analyzed. The study of bifurcation and chaos of the system provides reliable basis for the design and fault diagnosis and provides theoretical guidance and technical support for the actual design in the safe and stable operation of some rotating machinery.
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