• CN:11-2187/TH
  • ISSN:0577-6686

›› 2002, Vol. 38 ›› Issue (9): 27-32.

• 论文 • 上一篇    下一篇

非线性油膜力轴承上不平衡弹性转子的稳定裕度

李银山;陈予恕;薛禹胜   

  1. 天津大学机械工程学院;南京电力自动化研究院
  • 发布日期:2002-09-15

STABILITY MARGIN OF UNBALANCE ELASTIC ROTOR IN SHORT BEARINGS UNDER A NON-LINEAR OIL-FILM FORCE MODEL

Li Yinshan; Chen Yushu;Xue Yusheng   

  1. Tianjin University Nanjing Automation Research Institute
  • Published:2002-09-15

摘要: 探讨了弹性转子系统的稳定性和稳定裕度问题,采用短轴承油膜力的解析表达式和数值模拟的方法研究了系统的分岔和混沌特性。希望把电力系统广泛应用的高维轨线约化扩展相平面稳定性量化理论推广到非线性转子系统中,提出了相比正面积准则,给出了转子系统稳定裕度的定义,对滑动轴承不平衡转子系统进行了稳定性量化分析。

关键词: 不平衡弹性转子, 分岔和混沌, 稳定裕度, 相比正面积准则(CPAC)

Abstract: The stability and the stability margin of an elastic rotor supported by short journal bearings is discussed, focusing particular attention on its nonlinear aspects. A more reasonable nonlinear unsteaby oil-film force model, which is determined only by three functions, is adopted and the explicit analytical formula of oil-film force for short journal bearing is used for bifurcation and chaos stuby. The extended phase area stability criterion by trajectory-reduction-coupling in high dimensional nonlinear systems, which has got an extensive application in power system stability, is creatively introduced to nonlinear rotor system, A quantitative criterion of nonlinear rotor system stability is presented, which is called CPAC (Comparative positive-area criterion), The definition of stability margin is introduced, A quantitative example on rotor system stability is given by CPAC.

Key words: Unbalance elastic rotor Stability margin Comparative positive-area criterion(CPAC) Bifurcation and chaos

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