Nonlinear analysis of a rub-impact rotor-bearing system with initial permanent rotor bow |
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Authors: | Xiaoyao Shen Jiuhong Jia Mei Zhao |
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Institution: | (1) State Key Laboratory of Vibration, Shock & Noise, Shanghai Jiaotong University, Shanghai, 200240, People’s Republic of China |
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Abstract: | A general model of a rub-impact rotor-bearing system with initial permanent bow is set up and the corresponding governing
motion equation is given. The nonlinear oil-film forces from the journal bearing are obtained under the short bearing theory.
The rubbing model is assumed to consist of the radial elastic impact and the tangential Coulomb type of friction. Through
numerical calculation, rotating speeds, initial permanent bow lengths and phase angles between the mass eccentricity direction
and the rotor permanent bow direction are used as control parameters to investigate their effect on the rub-impact rotor-bearing
system with the help of bifurcation diagrams, Lyapunov exponents, Poincaré maps, frequency spectrums and orbit maps. Complicated
motions, such as periodic, quasi-periodic even chaotic vibrations, are observed. Under the influence of the initial permanent
bow, different routes to chaos are found and the speed when the rub happens is changed greatly. Corresponding results can
be used to diagnose the rub-impact fault in this kind of rotor systems and this study may contribute to a further understanding
of the nonlinear dynamics of such a rub-impact rotor-bearing system with initial permanent bow. |
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Keywords: | Initial permanent bow Nonlinear analysis Rub-impact Rotor-bearing system |
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