Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (6): 621-630.

• Articles •     Next Articles

SAFETY MARGIN CRITERION OF NONLINEAR UNBALANCE ELASTIC AXLE SYSTEM

CHEN Yu-shu1, LI Yin-shan1,2, XUE Yu-sheng3   

  1. 1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
    2. Institute of Engineering Mechanics, School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, P. R. China;
    3. Nanjing Automation Research Institute, Nanjing 210003, P. R. China
  • Received:2002-02-04 Revised:2003-02-18 Online:2003-06-18 Published:2003-06-18
  • Supported by:
    the National Natural Science Foundation of China(19990510);Shanxi Foun dation of Science and Technology(20001007);the National Key Basic Research Special Foundation of China(G1998020316)

Abstract: The safety margin criterion of nonlinear dynamic question of an elastic rotor system are given. A series of observing spaces were separated from integral space by resolving and polymerizing method. The stable-state trajectory of high dimensional nonlinear dynamic systems was got within integral space.According to international standard of rotor system vibration, energy limits of safety criterion were determined. The safety margin was calculated within a series of observing spaces by comparative positive-area criterion (CPAC) method. A quantitative example calculating safety margin for unbalance elastic rotor system was given by CPAC. The safety margin criterion proposed includes the calculation of current stability margin in engineering. This criterion is an effective method to solve quantitative calculation question of safety margin and stability margin for nonlinear dynamic systems.

2010 MSC Number: 

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