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基于Muszynska模型,推导建立密封流体激振力作用下的转子-密封系统非线性动力学方程。对运动微分方程进行数值分析,研究了该系统的分岔特性以及Muszynska模型中经验系数对系统稳定性的影响规律。分析结果表明,密封流体激振力导致的转子非线性动力学行为具有非常复杂的演化过程,其中平均周向速比常数及描述平均周向速比与转子涡动之间关系的经验系数是影响转子系统稳定性的关键因素,而其它经验系数影响均在5%以内,该结果为降低相关的实验费用提供了理论依据。
Based on the Muszynska model, the nonlinear dynamic equations of the rotor-seal system under the excitation force of the sealed fluid are deduced. The differential equations of motion are numerically analyzed. The bifurcation characteristics of the system and the influence of empirical coefficients in Muszynska model on system stability are studied. The analysis results show that the nonlinear dynamical behavior of the rotor due to the exciting force of the sealed fluid has a very complicated evolution process. The empirical coefficient of the average circumferential ratio constant and the relationship between the average circumferential speed ratio and the rotor’s whirl is the influence Rotor system stability of the key factors, and other empirical coefficients of less than 5%, the results provide a theoretical basis for reducing the related experimental costs.