A Numerical Method on Estimation of Stable Regions of Rotor Systems Supported on Lubricated Bearings
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摘要: 根据Floquet理论定义了非线性非自治系统周期解的稳定度.从动力系统流的概念出发,给出利用非线性非自治系统稳态周期解受扰后的瞬态响应,计算周期解稳定度的数值计算方法.以稳定度等于零为临界判据,分析计算了滑动轴承平衡和不平衡刚性转子系统的稳定吸引域.研究发现,平衡转子随着转速的升高稳定域减小;不平衡转子随着不平衡量的增大稳定域减小;且工频周期解的稳定域比同样系统条件下平衡点的稳定域小.Abstract: The stability degree of periodic solution of nonlinear nonautonomous system was defined by means of the Floquet theory. A method evaluating the stability degree of periodic solution based on transient response was presented by the aid of the concept of dynamic systems or flows. The critical value of a system was determined by the condition i. e. its stability degree equals zero. Stable regions of rotor systems with balanced and unbalanced disk supported on lubricated bearings were calculated. The study shows that stable region decreases with the increase of speed for a balanced rotor system and decreases with the increase of unbalance for an unbalanced rotor system. Stable regions of periodic solutions are less than that of equilibrium points under the same systematic conditions.
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Key words:
- nonlinear rotor system /
- stability degree /
- bifurcation /
- stable region
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[1] Genesio Roberto,Tarta Michele,Vicino Antonio. On the estimation of asymptotic stability regions:state of the art and new proposals[J]. IEEE Transactions on Automatic Control,1985,AC-30(8):747-755. [2] 张卫,朱均. 转子-滑动轴承系统的稳定裕度[J]. 机械工程学报,1995,31(2):57-62. [3] 傅予力,廖晓昕,江振华,等. 汽轮发电机组轴系扭振平衡位置分析与稳定域估计[J]. 电力系统自动化,2000,24(8):6-9. [4] 钟一锷. 转子动力学[M]. 北京:清华大学出版社,1986,41-63. [5] 郑惠萍. 滑动轴承不平衡转子系统非线性动力学稳定性及其稳定裕度的研究[D]. 博士论文. 天津:天津大学,2000,48-56. [6] 秦元勋. 运动稳定性理论与应用[M]. 北京:科学出版社,1981,214-229. [7] CHEN Yu-shu,Leng Andrew Y T. Bifurcation and Chaos in Engineering[M]. London:Springer-Verlag,1998,194-197. -
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