2013•Mechanical Research and ApplicationRequires access

Chaos and Bifurcation of a Two-degree-of-freedom Vibro-impact System with Unilateral Rigid Restraint

Mingxuan Wang

Abstract

A two-degree-of-freedom system with impact vibration is considered in this paper,chaos and bifurcation behaviors are anaylzed comprehensively.By chosing a impact section as the Poincare mapping,Hopf bifurcation behaviors of the system under suitable parameters are simulated,and the variation trend of linearized matrix eigenvalue in the unite circle is given out.

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Key concepts: Bifurcation, Eigenvalues and eigenvectors, Mathematics, Poincaré map, CHAOS (operating system), Hopf bifurcation, Degree (music), Saddle-node bifurcation