Abstract
The influence of labyrinth seal on the stability of unbalanced rotor system was presented. Under the periodic excitation of rotor unbalance, the whirling vibration of rotor is synchronous if the rotation speed is below stability threshold, whereas the vibration becomes severe and asynchronous which is defined as unstable if the rotation speed exceeds threshold. The Muszynska model of seal force and shooting method were used to investigate synchronous solution of the dynamic equation of rotor system. Then, based on Floquet theory the stability of synchronous solution and unstable dynamic characteristic of system were analyzed.
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Abbreviations
- ΔP :
-
pressure fall of seal
- z :
-
inlet loss coefficient
- l :
-
length of seal
- c :
-
radial clearance of seal
- v a :
-
axial fluid speed
- v :
-
fluid dynamic viscous coefficient
- R :
-
radius of seal
- ω:
-
rotation speed
- m 0,n 0 :
-
experiential coefficient, determined by experiments and material structure of seal[6]
References
BEN Xing-min, GU Jia-liu, QIN Wei-yang. Dynamic stability analysis of rotor system with labyrinth seal[J].Chinese Journal of Applied Mechanics, 1996,13(2):77–83. (in Chinese)
ZHENG Shui-ying, PAN Xiao-hong, SHEN Qing-gen. Research on dynamic characterics of labyrinth seal with cavity separation blades[J].Chinese Journal of Mechanics Engineering, 1999,35 (2):49–52. (in Chinese)
Muszynska A. A whirl and whip rotor/bearing stability problems[J].J Sound and Vibration, 1986,110(3):443–462.
Muszynska A. A model testing of rotor/bearing systems[J].International Journal of Analytical and Experimental Model Analysis, 1986,1(3):15–34.
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].J Sound and Vibration, 1990,143(1):103–124.
CHEN Yu-shu, DING Qian. A study on the stability of Hopf bifurcation of rotor-seal system[J].Journal of Vibration Engineering, 1997,10(3):368–374. (in Chinese)
ZHANG Wen.The Theory Basic of Rotor Dynamic[M]. Beijing: Science Press, 1990. (in Chinese)
ZHOU Ji-qing, ZHU Yin-yuan.Nonlinear Oscillations[M]. Xi' an: Xi' an Jiaotong University Press, 1998. (in Chinese)
CHEN Yu-shu.Bifurcation and Chaos Theory of Nonlinear Vibration System[M]. Beijing: High Education Press, 1993. (in Chinese)
Loose G, Joseph D D.Elementary Stability and Bifurcation Theory[M]. New York: Springer-Verlag, 1980.
Waggins.Introduction to Applied Nonlinear Dynamical Systems and Chaos[M]. New York: Springer-Verlag, 1990.
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Communicated by HE You-sheng
Foundation item: the National Natural Science Foundation of China (50275113)
Biography: LI Song-tao (1974∼)
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Song-tao, L., Qing-yu, X., Fang-yi, W. et al. Stability and bifurcation of unbalance rotor/labyrinth seal system. Appl Math Mech 24, 1290–1301 (2003). https://doi.org/10.1007/BF02439652
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DOI: https://doi.org/10.1007/BF02439652