由双控体模型确定迷宫密封轴向平均流速，结合Muszynska气流激振力建立了转子-密封系统非线性动力学模型，并采用Runge-Kutta-Fehlbrg方法求解系统非线性动力学方程。分析了迷宫密封间隙、密封半径、齿数、齿腔宽度、进口气压等参数对泄漏量及轴向平均流速的影响；绘制了分岔图、轴心轨迹、Poincare图和频谱图等，研究了转速、进口气压、偏心距及密封有效总长度对系统动力学特性的影响。数值结果表明，转速、密封结构及介质参数的改变能够诱导系统发生单周期运动、概周期运动等复杂的非线性动力学行为。
Abstract
The current research established the model of labyrinth seal-rotor system using Muszynska’s nonlinear seal forces. In the process of nonlinear dynamic analysis, the axial mean velocity was decided by two-control-volume model. Applying the Runge-Kutta-Fehlbrg numerical integration, the nonlinear dynamic function was solved. This study investigated the effects of parameters such as labyrinth seal clearance, rotor-radius, number of seal strips, cavity-width and inlet pressure on leakage and axial mean velocity. The influences of rotational speed, inlet pressure, eccentricity and effective seal-length on the nonlinear dynamic characteristics of rotor system were also discussed. The nonlinear dynamic properties were performed in bifurcation diagram, axis orbit, Poincare Map and frequency spectrum. The numerical results show that the changing of spin speed, seal geometry and seal medium parameters would induce abundant nonlinear dynamical behavior like periodic, quasi-periodic motion etc.
关键词
迷宫密封 /
转子 /
非线性动力学 /
双控体模型 /
Muszynska模型
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Key words
labyrinth seal /
rotor /
nonlinear dynamics /
two-control-volume model /
Muszynska model
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参考文献
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