环形密封对离心泵转子系统稳定性影响的数值研究

周文杰王乐勤邢桂坤 翟璐璐 魏雪松 吴大转

振动与冲击 ›› 2014, Vol. 33 ›› Issue (15) : 87-91.

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (15) : 87-91.
论文

环形密封对离心泵转子系统稳定性影响的数值研究

  • 周文杰1王乐勤1邢桂坤2 翟璐璐1 魏雪松1 吴大转1
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Numerical Research of the Stability Effect of Annular Seal on the Centrifugal Pump Rotor System

  • Zhou Wenjie1 Wang Leqin1 Xing Guikun2 Zhai Lulu1 Wei Xuesong1 Wu Dazhuan1
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摘要

环形密封中流体产生的激振力是导致离心泵转子—密封系统失稳的重要因素。文章采用非线性密封Muszynska模型建立了离心泵转子—密封系统动力学模型,利用四阶Runge-Kutta法将二阶微分方程转化成了一阶微分方程,同时将打靶法和Floquet理论相结合,对离心泵转子—环形密封系统不同密封参数情况下的非线性稳定性及其分岔问题进行了研究。结果表明,在转速较低时,系统是稳定的周期涡动,随着转速的提高,系统将产生Hopf分岔进入准周期运动而不再稳定,进一步研究发现系统稳定性与密封参数有着重要关系,适当增大密封压差,减小密封间隙和减小密封长度可以提高离心泵转子—密封系统稳定性,计算结果为离心泵转子—密封系统的设计以及定性控制系统的稳定性提供了理论依据。

Abstract

The excitation force generated by fluid in annular seal is an important factor for instability of centrifugal pump rotor-seal system. In this paper, centrifugal pump rotor-seal system dynamic model was established by Muszynska nonlinear seal model, and the second-order differential equations were transformed into the first order differential equations by using fourth-order Runge-Kutta method. The shooting method was combined with Floqout theory to study the stability and bifurcation of centrifugal pump rotor-seal system under different seal conditions. The results show that the system is stable with lower rotor speed, and the Hopf bifurcation and quasi-periodic motion emerged with rotor speed increasing. Further research proves that system stability is closely related to sealing parameters. The stability of centrifugal pump rotor-seal system improves with the differential pressure increasing as well as the seal gap and seal length decreasing. The results provide theoretical basis for the design of centrifugal pump rotor-seal system and qualitative control of system stability.

关键词

转子—密封系统 / Floquet理论 / 稳定性 / Hopf分岔

Key words

Rotor-Seal system / Floquet theory / Stability / Hopf bifurcation

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周文杰王乐勤邢桂坤 翟璐璐 魏雪松 吴大转. 环形密封对离心泵转子系统稳定性影响的数值研究[J]. 振动与冲击, 2014, 33(15): 87-91
Zhou Wenjie Wang Leqin Xing Guikun Zhai Lulu Wei Xuesong Wu Dazhuan. Numerical Research of the Stability Effect of Annular Seal on the Centrifugal Pump Rotor System[J]. Journal of Vibration and Shock, 2014, 33(15): 87-91

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