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首页> 外文期刊>Mathematical Problems in Engineering >Global Dynamics of a Compressor Blade with Resonances
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Global Dynamics of a Compressor Blade with Resonances

机译：具有共振的压气机叶片的整体动力学

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摘要

The global bifurcations and chaotic dynamics of a thin-walled compressor blade for the resonant case of 2:1 internal resonance and primary resonance are investigated. With the aid of the normal theory, the desired form associated with a double zero and a pair of pure imaginary eigenvalues for the global perturbation method is obtained. Based on the simpler form, the method developed by Kovacic and Wiggins is used to find the existence of a Shilnikov-type homoclinic orbit. The results obtained here indicate that the orbit homoclinic to certain invariant sets for the resonance case which may lead to chaos in the sense of Smale horseshoes for the system. The chaotic motions of the rotating compressor blade are also found by using numerical simulation.
机译：研究了2：1内部共振和一次共振的薄壁压缩机叶片的整体分叉和混沌动力学。借助于正则理论，获得了与全局摄动方法的双零和一对纯虚数特征值相关的期望形式。基于更简单的形式，由Kovacic和Wiggins开发的方法用于发现Shilnikov型同斜轨道的存在。此处获得的结果表明，在共振情况下，轨道与某些不变集同向，这可能导致系统的Smale马蹄铁产生混乱。旋转压缩机叶片的混沌运动也可以通过数值模拟找到。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第9期|3275750.1-3275750.12|共12页
  • 作者

    Bian Xiaoxia; Chen Fangqi; An Fengxian;

  • 作者单位

    Nanjing Univ Aeronaut & Astronaut, Dept Mech, Nanjing 210016, Jiangsu, Peoples R China|Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China|Yancheng Inst Technol, Sch Math & Phys, Yancheng 224051, Peoples R China;

    Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China;

    Nanjing Univ Aeronaut & Astronaut, Dept Mech, Nanjing 210016, Jiangsu, Peoples R China|Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China;

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