Volume 24 Issue 6
Jun.  1998
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Xiong Junjiang, Wu Zhe, Gao Zhentonget al. Tentative Research for Chaotic Fatigue[J]. Journal of Beijing University of Aeronautics and Astronautics, 1998, 24(6): 667-670. (in Chinese)
Citation: Xiong Junjiang, Wu Zhe, Gao Zhentonget al. Tentative Research for Chaotic Fatigue[J]. Journal of Beijing University of Aeronautics and Astronautics, 1998, 24(6): 667-670. (in Chinese)

Tentative Research for Chaotic Fatigue

  • Received Date: 18 May 1998
  • Publish Date: 30 Jun 1998
  • The bifurcation and chaos theory of dynamic system is introduced to study the sudden change of fatigue behavior. A micro-model to describe the fatigue damage dynamic system is proposed on the basis of physical mechanics. The local saddle-node, Hopf bifurcations and global bifurcations of this fatigue system are analyzed and discussed. The numerical ranges of the parameters in the fatigue damage dynamic system are presented while Hopf bifurcations occuring by means of the normal form theory and Hopf theorem, and the threshold value of the chaotic fatigue system is given by calculating Melinkov function of the perturbed system according to the unperturbed homoclinic orbits.

     

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