非线性转子-密封系统稳定性与分岔

叶建槐; 刘占生

非线性转子-密封系统稳定性与分岔

哈尔滨工业大学能源科学与工程学院, 哈尔滨 150001

基金项目: 国家自然科学基金重点项目(10632040)

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- 被引次数: 0
出版历程
- 收稿日期: 2006-04-27
- 修回日期: 2006-06-16
- 刊出日期: 2007-05-28

Study on the stability and bifurcation of nonlinear rotor-seal system

School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

摘要

摘要: 对单盘转子密封系统的分岔特性进行了研究, 利用快速Galerkin方法和Floquet理论得到了转子密封系统的分岔转迁集, 并分析了转子不平衡量、密封间隙以及密封两侧压差对系统分岔特性的影响, 结果表明转子系统在密封流体作用下存在倍周期和Hopf分岔.最后通过数值仿真验证了所求得的分岔转迁集的正确性.研究结果为控制转子系统的稳定性提供了理论依据.
- 航空、航天推进系统 /
- 非线性力学 /
- 转子-密封系统 /
- Hopf分岔 /
- 倍周期分岔 /
- 稳定性 /
- 转迁集
Abstract: The bifurcations of a rigid rotor-seal system were studied in a relatively wide parameter range.The transition boundaries of the system were obtained and the effect of the degree of rotor imbalance,clearance of the seal and the pressure drop of the flow in the seal on the bifurcations characteristics of the system was analyzed with fast Galerkin method in combination with Floquet theory.The result shows that the rotor system may undergo period doubling or Hopf bifurcations caused by the fluid-induced vibration.In some typical parameter ranges,the bifurcation diagrams of the rotor-seal system are acquired with numerical integral method.The simulation result verifies the correctness of the transition boundaries.The result provides the theoretical base for qualitatively controlling the stable operating state of rotors.
- aerospace propulsion system /
- nonlinear mechanics /
- rotor-seal system /
- Hopf bifurcation /
- period doubling /
- stability /
- transition boundary

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参考文献(12)

[1]	Hua J,Swaddiwudhipong S,Liu Z S,et al.Numerical analysis of nonlinear rotor-seal system[J].ASME.Journal of Sound and Vibration,2005,283:525-542.
[2]	张亚红,华军,许庆余,等.精细积分法在迷宫密封转子系统非线性动力学特性计算中的应用[J].计算力学学报,2005,22(5):541-545.ZHANG Yahong,HUA Jun,XU Qingyu,et al.A new high precision direct integration scheme for nonlinear rotor-seal system[J].Chinese Journal of Computational Mechanics,2005,22(5):541-545.
[3]	李松涛,许庆余,万方义.迷宫密封转子系统非线性动力稳定性的研究[J].应用力学学报,2002,19(2):27-30.LI Songtao,XU Qingyu,WAN Fangyi.A study on nonlinear dynamic stability of labyrinth seal-rotor system[J].Chinese Journal of Applied Mechanics,2002,19(2):27-30.
[4]	李松涛,许庆余,万方义,等.迷宫密封不平衡转子动力系统的稳定性与分岔[J].应用数学与力学,2003,24(11):1141-1150.LI Songtao,XU Qingyu,WAN Fangyi,et al.Stability and bifurcation of unbalance rotor/labyrinth seal system[J].Applied Mathematics and Mechanics,2003,24(11):1141-1150.
[5]	陈予恕,丁千,侯书军.非线性转子密封系统的稳定性和Hopf分岔研究[J].振动工程学报,1997,10(3):368-374.CHEN Yushu,DING Qian,HOU Shujun.A study on the stability and hopf bifurcation of nonlinear rotor seal system[J].Journal of Vibration Engineering,1997,10(3):368-374.
[6]	丁千,陈予恕.非线性转子-密封系统的亚谐共振失稳机理研究[J].振动工程学报,1997,10(4):404-412.DING Qian,CHEN Yushu.Study on the mechanism of subharmonic instability of nonlinear rotor/seal systems[J].Journal of Vibration Engineering,1997,10(4):404-412.
[7]	Muszynska A.Whirl and whip rotor/bearing stability problems[J].Journal of Sound and Vibration,1986,110(3):443-462.
[8]	Muszynska A,Bently D E.Frequency-swept rotating input perturbation techniques and identification of the fluid force models in rotor/bearing/seal systems and fluid handling machines[J].Journal of Sound and Vibration,1990,143(1):103-124.
[9]	Muszynska A,Bently D E.Anti-swirl arrangements prevent rotor/seal in stability[J].ASME,Journal of Vibration,Acoustics,Stress and Reliability in Design,1989,111:156-162.
[10]	张文.转子动力学理论基础[M].北京:科学出版社,1990.
[11]	Ling F H,Wu X X.Fast galerkin method and its application to determine periodic solutions of nonlinear oscillators[J].Int Journal of Nonlinear Mechanics,1987,22(2):89-98.
[12]	陈予恕,孟泉.非线性转子轴承系统的分叉[J].振动工程学报,1997,9(3):266-275.CHEN Yushu,MENG Quan.Bifurcations of a nonlinear rotor bearing system[J].Journal of Vibration Engineering,1997,9(3):266-275.