悬臂梁碰撞系统的动力学分析

Dynamical analysis in the cantilever beam system with impacts

研究带有悬臂梁碰撞系统的分岔与混沌问题,考察外界扰动参数变化对系统动力学行为的影响,并给出对应的分岔图、时间历程图和庞加莱截面图.首次从分岔图上发现了跳跃这一光滑系统出现过的现象,并通过时间历程图解释了这种跳跃现象产生的原因.

In the paper, the bifurcations and chaos of a cantilever beam system with impact were studied using the way of numerical methods. The inflection of perturbation＇s parameter variation was thought about, the corresponding bifurcation diagram, time evaluation, Poincare surface and phase diagram were given to prove the inflection. And a phenomenon of jumping in the bifurcation diagram was mentioned, the causation was given too.