| 非解析径向轴承支承转子系统非线性动力特性分析 |
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| 引用本文： | 吕延军,虞烈,刘恒,张永芳.非解析径向轴承支承转子系统非线性动力特性分析[J].上海大学学报(英文版),2006,10(3):247-255. |
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| 作者姓名： | 吕延军 虞烈 刘恒 张永芳 |
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| 作者单位： | 1. 西安交通大学
2. 西北工业大学 |
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| 基金项目： | Project supported by National Natural Science Foundation ofChina (Grant No .50275116) ,and National High-Technology Re-search and Development Programof China (Nos .2002AA414060 ,2002AA503020) |
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| 摘 要： | Nomenclaturex,y,x ·, y·-displacement and velocity of rotor-x,-y,x-·,-y·-displacement and velocity of rotor , di mension less¨x,¨y-acceleration of rotor¨-x,¨-y-acceleration of rotor ,di mensionlessω-rotating speed of rotor-ω-rotating speed of rotor ,di mensionlessx,y,z-Cartesian coordinates-x,-y,-z-Cartesian coordinates ,di mensionless2m-mass of rotorg-acceleration of gravityG-weight of rotor ,di mensionlesse=e2x e2y-mass eccentricity of rotorex,ey-mass eccentricity of rotor in thexan…
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| 关 键 词： | 非线性动力学 轴颈轴承-转子系统 分岔 混沌 稳定性 有限元 |
| 文章编号： | 1007-6417（2006）03-0247-09 |
| 收稿时间： | 2004-08-22 |
| 修稿时间： | 2004-11-04 |
Complex nonlinear behaviors of a rotor dynamical system with non-analytical journal bearing supports |
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| Yan-jun Lu Ph. D. Candidate,Lie Yu Ph. D.,Heng Liu,Yong-fang Zhang.Complex nonlinear behaviors of a rotor dynamical system with non-analytical journal bearing supports[J].Journal of Shanghai University(English Edition),2006,10(3):247-255. |
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| Authors: | Yan-jun Lu Ph D Candidate Lie Yu Ph D Heng Liu Yong-fang Zhang |
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| Institution: | (1) Theory of Lubrication and Bearing Institute, Xi’an Jiaotong University, 710049 Xi’an, P.R. China;(2) School of Electronic and Information, Northwestern Polytechnical University, 710072 Xi’an, P.R. China |
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| Abstract: | Nonlinear dynamic behaviors of a rotor dynamical system with finite hydrodynamic bearing supports were investigated. In order
to increase the numerical accuracy and decrease computing costs, the isoparametric finite element method based on variational
constraint approach is introduced because analytical bearing forces are not available. This method calculates the oil film
forces and their Jacobians simultaneously while it can ensure that they have compatible accuracy. Nonlinear motion of the
bearing-rotor system is caused by strong nonlinearity of oil film forces with respect to the displacements and velocities
of the center of the rotor. A method consisting of a predictor-corrector mechanism and Newton-Raphson method is presented
to calculate equilibrium position and critical speed corresponding to Hopf bifurcation point of the bearing-rotor system.
Meanwhile the dynamic coefficients of bearing are obtained. The nonlinear unbalance periodic responses of the system are obtained
by using Poincar6-Newton-Floquet method and a combination of predictor-corrector mechanism and Poincart-Newton-Floquet method.
The local stability and bifurcation behaviors of periodic motions are analyzed by the Floquet theory. Chaotic motion of long
term dynamic behaviors of the system is analyzed with power spectrum. The numerical results reveal such complex nonlinear
behaviors as periodic, quasi-periodic, chaotic, jumped and coexistent solutions. |
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| Keywords: | nonlinear dynamics journal bearing-rotor system bifurcation chaos stability finite element method |
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