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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (11): 1290-1301.

• 论文 • 上一篇    下一篇

STABILITY AND BIFURCATION OF UNBALANCE ROTOR/LABYRINTH SEAL SYSTEM

李松涛1, 许庆余1, 万方义1, 张小龙2   

  1. 1. Architectural Engineering and Mechanics, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    2. Xi’an University of Architecture & Technology, Xi’an 710052, P. R. China
  • 收稿日期:2002-03-26 修回日期:2003-06-23 出版日期:2003-11-18 发布日期:2003-11-18
  • 基金资助:
    the National Natural Science Foundation of China (50275113)

STABILITY AND BIFURCATION OF UNBALANCE ROTOR/LABYRINTH SEAL SYSTEM

LI Song-tao1, XU Qing-yu1, WAN Fang-yi1, ZHANG Xiao-long 2   

  1. 1. Architectural Engineering and Mechanics, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    2. Xi’an University of Architecture & Technology, Xi’an 710052, P. R. China
  • Received:2002-03-26 Revised:2003-06-23 Online:2003-11-18 Published:2003-11-18
  • Supported by:
    the National Natural Science Foundation of China (50275113)

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摘要： The influence of labyrinth seal on the stability of unbalanced rotor system was presented. Under the periodic excitation of rotor unbalance, the whirling vibration of rotor is synchronous if the rotation speed is below stability threshold, whereas the vibration becomes severe and asynchronous which is defined as unstable if the rotation speed exceeds threshold. The. Muszynska model of seal force and shooting method were used to investigate synchronous solution of the dynamic equation of rotor system. Then, based on Floquet theory the stability of synchronous solution and unstable dynamic characteristic of system were analyzed.

Abstract: The influence of labyrinth seal on the stability of unbalanced rotor system was presented. Under the periodic excitation of rotor unbalance, the whirling vibration of rotor is synchronous if the rotation speed is below stability threshold, whereas the vibration becomes severe and asynchronous which is defined as unstable if the rotation speed exceeds threshold. The. Muszynska model of seal force and shooting method were used to investigate synchronous solution of the dynamic equation of rotor system. Then, based on Floquet theory the stability of synchronous solution and unstable dynamic characteristic of system were analyzed.

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