Applied Mathematics and Mechanics

, Volume 24, Issue 11, pp 1316–1323 | Cite as

Study on influence of bending-torsion coupling in an impacting-rub rotor system

  • Sun Zheng-ce
  • Xu Jian-xue
  • Zhou Tong
  • Tan Ning


A mathematical model of an impacting-rub rotor system with bending-torsion coupling was established. It was compared with the model without bending-torsion coupling through the modern nonlinear dynamic theory. It is observed that periodical, chaotic, period adding phenomena in them and the two models have a similar bifurcation process in their bifurcation figures. But the influence of bending-torsion on the dynmaic characteristics of the system is not neglected. The results have considerable meanings to analyze and improve the characteristics of an impacting-rub rotor system.

Key words

impacting-rub bending-torsion coupling chaos period adding 

Chinese Library Clasification number


2000 Mathematics Subject Classifications

74H45 74H60 74H65 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Yamamoto T T. On critical speeds of a shaft[J].Memoirs of the Faculty of Engineering, Nagoya University (Japan), 1954,6(2):211.Google Scholar
  2. [2]
    Ehrich F F. Some observations of chaotic vibration phenomena in high-speed rotor dynamics[J].ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, 1991,113(1):50–57.CrossRefGoogle Scholar
  3. [3]
    Goldman P, Muszynska A. Dynamic effects in mechanical structures with gaps and impacting[J].Order and Chaos, 1994,116(4):541–547.Google Scholar
  4. [4]
    REN Fu-chun, YANG Kun. Analysis on the dynamic coupling of the vibration of the unbalance rotor[J].Chinese Journal of Turbine Technology, 1997,13(1):33–37. (in Chinese)Google Scholar
  5. [5]
    XIA Bo-qian, YU Lie, XIE You-bai. Study on lateral-torsional coupling vibration model of gear-rotor-bearing system[J].Journal of Xi' an Jiaotong University, 199731(2):93. (in Chinese)Google Scholar
  6. [6]
    LI Shun-ming, LI Xiang-lian. Bending-torsional vibration analysis of rubbing rotor[J].Mechanical Science and Technology, 2000,19(1):1. (in Chinese)Google Scholar
  7. [7]
    LIU Xian-dong, LI Qi-han. An impacting-rub model of an rotor system with unbalance and its chaotic characteristics[J].Journal of Aerospace Power, 1998,13(4):361. (in Chinese)Google Scholar
  8. [8]
    SUN Zheng-ce, XU Jian-xue, Gong Pu-lin. Study on dynamic characteristics of a rotor system with clearance[J].Journal of Vibration Engineering, 2000,13(3):474. (in Chinese)Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Sun Zheng-ce
    • 1
    • 2
  • Xu Jian-xue
    • 1
  • Zhou Tong
    • 1
  • Tan Ning
    • 1
  1. 1.State Key Laboratory of Mechanical Structural Strength and VibrationXi'an Jiaotong UniversityXi'anP.R. China
  2. 2.Department of MechanicsFudan UniversityShanghaiP.R. China

Personalised recommendations