Applied Mathematics and Mechanics

, Volume 24, Issue 6, pp 621–630

# Safety margin criterion of nonlinear unbalance elastic axle system

• Chen Yu-shu
• Li Yin-shan
• Xue Yu-sheng
Article

## 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.

## Key words

unbalance elastic rotor safety margin comparative positive-area criterion (CPAC) bifurcation and chaos

TB122 TH133

37M99 37N15

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© Editorial Committee of Applied Mathematics and Mechanics 2003

## Authors and Affiliations

• Chen Yu-shu
• 1
• Li Yin-shan
• 1
• 2
• Xue Yu-sheng
• 3
1. 1.Department of MechanicsTianjin UniversityTianjinP.R.China
2. 2.Institute of Engineering Mechanics, School of Mechanical EngineeringHebei University of TechnologyTianjinP.R.China
3. 3.Nanjing Automation Research InstituteNanjingP.R. China