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

Guanwei Luo; Pu Gao; Huiming Yao

doi:10.1117/12.468769

29 May 2002 Unusual routes from periodic motion to chaos for a vibro-impact system

Guanwei Luo, Pu Gao, Huiming Yao

Proceedings Volume 4537, Third International Conference on Experimental Mechanics; (2002) https://doi.org/10.1117/12.468769
Event: Third International Conference on Experimental Mechanics, 2002, Beijing, China

Abstract

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.

Citation Download Citation

Guanwei Luo, Pu Gao, and Huiming Yao "Unusual routes from periodic motion to chaos for a vibro-impact system", Proc. SPIE 4537, Third International Conference on Experimental Mechanics, (29 May 2002); https://doi.org/10.1117/12.468769

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