CHEN Yu-shu, LI Yin-shan, XUE Yu-sheng. Safety Margin Criterion of Nonlinear Unbalance Elastic Axle System[J]. Applied Mathematics and Mechanics, 2003, 24(6): 551-558.
 Citation: CHEN Yu-shu, LI Yin-shan, XUE Yu-sheng. Safety Margin Criterion of Nonlinear Unbalance Elastic Axle System[J]. Applied Mathematics and Mechanics, 2003, 24(6): 551-558.

# Safety Margin Criterion of Nonlinear Unbalance Elastic Axle System

• Rev Recd Date: 2003-02-18
• Publish Date: 2003-06-15
• 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.
•  [1] CHEN Yu-shu,Leung A Y T.Bifurcation and Chaos in Engineering[M].London:Springer,1998. [2] 李银山,陈予恕,吴志强.正交各向异性圆板非线性振动的亚谐分岔[J].机械强度,2001,23(2):148-151. [3] 李银山,杨桂通,张善元,等.圆板受迫振动超谐分叉和混沌运动的实验研究[J].实验力学,2001,16(4):347-358. [4] 李银山,高峰,张善元,等.二次非线性圆板的1/2亚谐解[J].机械强度,2002,24(4):505-509. [5] 李银山,刘波,龙运佳,等.二次非线性粘弹性圆板的2/1Ý3/1超谐解[J].应用力学学报,2002,19(3):20-24. [6] 李银山,曹树谦,丁千,等.非线性油膜力轴承上不平衡弹性转子的分岔和混沌[A].见:杨桂通,黄筑平,梁乃刚主编.塑性力学与工程[C].北京:万国学术出版社,2002,177-183. [7] 李银山,孙雨明,李欣业,等.不平衡弹性转子系统非线性油膜失稳分析[J].太原理工大学学报,2001,31(6):559-561. [8] 薛禹胜.运动稳定性量化理论——非自治非线性多刚体系统稳定性分析[M].南京:江苏科学技术出版社,1999. [9] 李银山,陈予恕,薛禹胜.非线性油膜力轴承上不平衡弹性转子的稳定裕度[J].机械工程学报,2002,38(9):27-32. [10] 徐小峰,张文.一种非稳态油膜力模型下刚性转子的分岔和混沌特性[J].振动工程学报,2000,13(6):247-253.

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