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]. 工程科学学报, 2007, 29(S2): 144-147. DOI: 10.13374/j.issn1001-053x.2007.s2.088
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]. 工程科学学报, 2007, 29(S2): 144-147. DOI: 10.13374/j.issn1001-053x.2007.s2.088
shu
ZHANG Wujun, XU Jinwu, LV Zhimin, YANG Debin. Bifurcation and chaos identification on the rubbing rotor[J]. Chinese Journal of Engineering, 2007, 29(S2): 144-147. DOI: 10.13374/j.issn1001-053x.2007.s2.088
Citation: ZHANG Wujun, XU Jinwu, LV Zhimin, YANG Debin. Bifurcation and chaos identification on the rubbing rotor[J]. Chinese Journal of Engineering, 2007, 29(S2): 144-147. DOI: 10.13374/j.issn1001-053x.2007.s2.088
shu

碰摩转子系统分叉与混沌行为的识别

Bifurcation and chaos identification on the rubbing rotor

    摘要
  • 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.

     

    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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