| 悬臂梁碰撞系统的动力学分析 |
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| 引用本文： | 牛玉俊,李红武.悬臂梁碰撞系统的动力学分析[J].安徽大学学报(自然科学版),2009,33(4). |
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| 作者姓名： | 牛玉俊 李红武 |
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| 作者单位： | 1. 西北工业大学,理学院,陕西,西安,710072
2. 南阳师范学院数学与统计学院,河南,南阳,473061 |
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| 基金项目： | 国家自然科学基金资助项目(10872165) |
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| 摘 要： | 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.
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| 关 键 词： | 非光滑系统 悬臂梁 分岔 混沌 跳跃 |
Dynamical analysis in the cantilever beam system with impacts |
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| NIU Yu-jun,LI Hong-wu.Dynamical analysis in the cantilever beam system with impacts[J].Journal of Anhui University(Natural Sciences),2009,33(4). |
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| Authors: | NIU Yu-jun LI Hong-wu |
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| Institution: | 1.College of Automation;Northwestern Polytechnical University;Xi'an 710072;China;2.Department of Math.and Statistics;Nanyang Normal University;Nanyang 473061;China |
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| Abstract: | 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. |
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| Keywords: | non-smooth system cantilever beam bifurcation chaos jumping |
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