The continuous Poincare-like cell mapping method and its application to nonlinear dynamics analysis of a bearing–rotor system

Based on the idea of continuous cell mapping, an improved Poincare-like cell mapping method is developed. This method can be used for global analysis of nonlinear dynamic systems without missing the periodic solutions and the domains of attraction. A bearing–rotor system is analyzed by using this me...

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Bibliographic Details
Published in:Tribology international 1998-07, Vol.31 (7), p.369-375
Main Authors: Liu, H., Yu, L., Xie, Y.B., Yao, F.S.
Format: Article
Language:English
Subjects:
Applied sciences
bearing
cell mapping
Drives
Exact sciences and technology
Mechanical engineering. Machine design
nonlinear
rotor
Shafts, couplings, clutches, brakes
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Summary:Based on the idea of continuous cell mapping, an improved Poincare-like cell mapping method is developed. This method can be used for global analysis of nonlinear dynamic systems without missing the periodic solutions and the domains of attraction. A bearing–rotor system is analyzed by using this method, and the influences of initial conditions on transient movement are discussed in detail.
ISSN:0301-679X
1879-2464
DOI:10.1016/S0301-679X(98)00046-2