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低压发电机转子系统弯扭耦合情况下的组合共振研究

李军,  陈予恕

文章导航 > 应用数学和力学  > 2011 >  32(8): 895-911
李军, 陈予恕. 低压发电机转子系统弯扭耦合情况下的组合共振研究[J]. 应用数学和力学, 2011, 32(8): 895-911. doi: 10.3879/j.issn.1000-0887.2011.08.001
引用本文: 李军, 陈予恕. 低压发电机转子系统弯扭耦合情况下的组合共振研究[J]. 应用数学和力学, 2011, 32(8): 895-911. doi: 10.3879/j.issn.1000-0887.2011.08.001
shu
LI Jun, CHEN Yu-shu. Study on Combined Resonance of Low Pressure Cylinder-Generator Rotor System With Bending-Torsion Coupling[J]. Applied Mathematics and Mechanics, 2011, 32(8): 895-911. doi: 10.3879/j.issn.1000-0887.2011.08.001
Citation: LI Jun, CHEN Yu-shu. Study on Combined Resonance of Low Pressure Cylinder-Generator Rotor System With Bending-Torsion Coupling[J]. Applied Mathematics and Mechanics, 2011, 32(8): 895-911. doi: 10.3879/j.issn.1000-0887.2011.08.001
shu

低压发电机转子系统弯扭耦合情况下的组合共振研究

doi: 10.3879/j.issn.1000-0887.2011.08.001

  • 哈尔滨工业大学 航天学院137信箱,哈尔滨 150001

基金项目: 国家自然科学基金资助项目(10632040)
详细信息
    作者简介:

    李军(1982- ),男,博士生(E-mail:y8a82000@163.com);陈予恕(联系人.E-mail:yschen@hit.edu.cn).

  • 中图分类号: O322; TH133

Study on Combined Resonance of Low Pressure Cylinder-Generator Rotor System With Bending-Torsion Coupling

  • School of Astronautics, Harbin Institute of Technology, Harbin 150001, P. R. China

    摘要
  • 摘要: 考虑转子系统弯扭耦合作用，建立汽轮发电机组低压缸转子和发电机转子在次同步谐振作用下的非线性模型．应用平均法研究在次同步谐振的情况下发生组合共振的解析解．并得到分岔方程．应用奇异性理论，得到系统参数和其动态行为的关系．运用数值方法对所得结果进行验证，对发生组合共振和不发生组合共振的情况进行了数值比较．该结果对工程实际应具有一定参考价值．
    Abstract: The nonlinear model of the low pressure cylinder-generator rotor system was presented for the study of sub-synchronous resonance and combined resonance.Analytical results were obtained by the averaging method.The transition sets and bifurcation diagrams were obtained by the singularity theory for two-state variable system.The bifurcation characteristics were analyzed,which can provide a basis for the optimal design and fault diagnosis of the rotor system.Finally,the theoretical results are verified by the numerical results.
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    • 参考文献(13)
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出版历程
  • 收稿日期:  2010-10-15
  • 修回日期:  2011-05-21
  • 刊出日期:  2011-08-15

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