| 碰摩转子系统分叉与混沌行为的识别 |
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| 引用本文： | 张武军,徐金梧,吕志民,杨德斌. 碰摩转子系统分叉与混沌行为的识别[J]. 北京科技大学学报, 2007, 0(Z2) |
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| 作者姓名： | 张武军 徐金梧 吕志民 杨德斌 |
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| 作者单位： | 北京科技大学机械工程学院 北京100083 |
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| 摘 要： | 研究了Jeffcott转子发生动静件碰摩时的非线性振动特性.根据数值计算的结果,利用时间序列的相空间重构方法,通过相空间的吸引子的形态来刻画碰摩转子系统的分叉、拟周期和混沌行为,利用分形维数对分叉、拟周期和混沌信号进行定性的分析.这对定性和定量的判定系统的分叉、拟周期和混沌行为是一个非常有意义.
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| 关 键 词： | 碰摩转子 分叉 混沌 相空间 分形维数 |
Bifurcation and chaos identification on the rubbing rotor |
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| ZHANG Wujun,XU Jinwu,LV Zhimin,YANG Debin Mechanical Engineering School,University of Science and Technology Beijing,Beijing ,China. Bifurcation and chaos identification on the rubbing rotor[J]. Journal of University of Science and Technology Beijing, 2007, 0(Z2) |
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| Authors: | ZHANG Wujun XU Jinwu LV Zhimin YANG Debin Mechanical Engineering School University of Science Technology Beijing Beijing China |
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| Affiliation: | ZHANG Wujun,XU Jinwu,LV Zhimin,YANG Debin Mechanical Engineering School,University of Science and Technology Beijing,Beijing 100083,China |
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| Abstract: | The nonlinear characteristics of the lateral vibration of a rub-impact Jeffcott rotor were investigated.Based on the theory of phase space reconstruction,the estimations of the embedding delay and dimension were studied,and the reconstructions of the bifurcation and chaos of the rubbing rotor were completed according to the results of numerical simulation.Then the correlation dimensions of the bifurcation and chaos were estimated. |
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| Keywords: | rubbing rotor bifurcation chaos phase space reconstruction fractal dimension |
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