建立了三自由度碰撞振动系统的动力学模型,推导出系统n-1周期运动的六雏Poincaré映射,运用数值法演示了系统由Hopf分岔,周期倍化分岔通向混沌过程.对该系统分岔与混沌行为的研宛,为工程实际中含间隙机械系统和冲击振动系统的优化设计提供了依据.%The vibro-impact system with a gap is transformed to the discrete counterpart at the impact section by applying Poincare mapping. The transcendental map and the corresponding Jacobian matrix are constructed, and the calculation of Lyapunov exponential spectrum on the vibro-impact system is obtained. The global parameters-varying rules of the Lyapunov exponential spectrum on this system are analyzed by numerical simulations. Comparing the Lyapunov exponential spectrum diagram with the bifurcation diagram, the validity and feasibility of this method are verified.
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