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用高阶Melnikov函数分析转子系统的混沌行为

Analyzes the Chaos Behaviors of the Rotor System with the High-level Melnikov Function
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摘要 本文讨论了含裂纹的弹性轴弹性盘转子系统的混沌运动条件.利用高阶的Melnikov函数法对相应的无量纲运动控制方程进行分析,得出系统出现Smale混沌运动时系统参数之间的关系. The conditions for chaotic motions of a rotor system for an elastic shaft-disk with a crack are studied in this paper.The relationship between existence of Smale horseshoes and mechanical system parameters is obtained by applying the high-level Melnikov analytical method.
出处 《应用数学》 CSCD 北大核心 2007年第S1期34-37,共4页 Mathematica Applicata
关键词 非线性 裂纹转子 混沌运动 高阶Melnikov方法 Non-linearity Cracked rotor Chaotic motion High-level Melnikov
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参考文献5

  • 1Wiggins S.Introduction to Applied Nonlinear Dynamical Systems and Chaos[]..1990
  • 2Ostnchowicz W M,Krawczuk M.Analysis of the effect of cracks on the natural frequencies of a cantilever beam[].Journal of Sound and Vibration.1991
  • 3SHIFRIN E I,RUOTOLO R.Natural frequencies of a beam with an arbitrary number of cracks[].Journal of Sound and Vibration.1999
  • 4Morassi.Crack-induced Change in Eigenfrequencies of Beam Structures[].Journal of Engineering.1993
  • 5FERNANDEZ-SAEZ J,RUBIO L,NAVARRO C.Approxi-mate calculation of the fundamental frequency for bend-ing vibrations of cracked beams[].Journal of Sound and Vibration.1999

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