Unusual routes from periodic motion to chaos for a vibro-impact system

A two-degree-of-freedom system impacting a single stop is considered. Unusual routes form periodic impact to chaos are investigated by numerical simulation. The periodic impact motion and its period doubling bifurcation are obtained by experimental method. The global bifurcation process form periodic impact to chaos includes both period-doubling bifurcation and Hopf bifurcation. The routes to chaos are qualitatively very different to those in the usual consecutive maps. Grazing discontinuities in the Poincare map are likely to be a major cause of unusual routes to chaos for the vibro-impact system.© (2002) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.