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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (10): 1115-1121.

• 论文 •    下一篇

A NUMERICAL METHOD ON ESTIMATION OF STABLE REGIONS OF ROTOR SYSTEMS SUPPORTED ON LUBRICATED BEARINGS

郑惠萍, 陈予恕   

  1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, P. R. China
  • 收稿日期:2000-05-18 修回日期:2002-05-31 出版日期:2002-10-18 发布日期:2002-10-18
  • 基金资助:
    the National Natural Science Foundation of China(19990510);the National Key Basic Research Special Foundation of China(G1998020316);the Doctoral Point Foundation of Education Ministry(D09901)

A NUMERICAL METHOD ON ESTIMATION OF STABLE REGIONS OF ROTOR SYSTEMS SUPPORTED ON LUBRICATED BEARINGS

ZHENG Hui-ping, CHEN Yu-shu   

  1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, P. R. China
  • Received:2000-05-18 Revised:2002-05-31 Online:2002-10-18 Published:2002-10-18
  • Supported by:
    the National Natural Science Foundation of China(19990510);the National Key Basic Research Special Foundation of China(G1998020316);the Doctoral Point Foundation of Education Ministry(D09901)

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摘要： The stability degree of periodic solution of nonlinear nonautonomous system was defined by means of the Floquet theory. A method evaluating the stability degree of periodic solution based on transient response was presented by the aid of the concept of dynamic systems or flows. The critical value of a system was determined by the condition, i.e., its stability degree equals zero. Stable regions of rotor systems with balanced and unbalanced disk supported on lubricated bearings were calculated. The study shows that stable region decreases with the increase of speed for a balanced rotor system and decreases with the increase of unbalance for an unbalanced rotor system. Stable regions of periodic solutions are less than that of equilibrium points under the same systematic conditions.

关键词: nonlinear rotor system, stability degree, bifurcation, stable region

Abstract: The stability degree of periodic solution of nonlinear nonautonomous system was defined by means of the Floquet theory. A method evaluating the stability degree of periodic solution based on transient response was presented by the aid of the concept of dynamic systems or flows. The critical value of a system was determined by the condition, i.e., its stability degree equals zero. Stable regions of rotor systems with balanced and unbalanced disk supported on lubricated bearings were calculated. The study shows that stable region decreases with the increase of speed for a balanced rotor system and decreases with the increase of unbalance for an unbalanced rotor system. Stable regions of periodic solutions are less than that of equilibrium points under the same systematic conditions.

Key words: nonlinear rotor system, stability degree, bifurcation, stable region

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