非线性转子-机匣密封碰磨混沌系统的自适应控制研究

随着旋转机械结构参数的提高,作用在转子上的气流激振力将显著增大。针对转子-机匣密封碰磨系统进行了研究。应用Muszynska非线性密封力模型,建立在气流激振力作用下的转子-机匣碰磨系统耦合动力学方程。根据自适应控制理论,给出一种多重参数自适应控制算法。利用此方法对转子-机匣密封碰磨系统进行了研究,研究结果表明,提出的参数自适应控制律具有较强的稳定控制能力,该方法适合于多重参数非自治复杂混沌系统,在外界干扰下引起混沌状态的情况,可自适应地调整到正常的工作状态,为旋转机械的理论设计和故障动态监测提供了理论依据,具有重要的实际工程应用价值。

Study on Adaptive Control of Nonlinear Rubbing Rotor-Box Seal Chaotic System

With the increasing of structural parameters of a rotary machine,the sealing induced airflow excitation on the rotor will significantly increase.By taking Muszynska's model for sealing force,the nonlinear dynamic equation of a rotor with rotor-box seal impact/rub foundation was derived.Then,the problem of controlling the chaotic response of the nonlinear rotor system was studied by the adaptive control theory.Numerical simulations on the rotor system were performed with a muti-parameter adaptive algorithm.The numerical results show that the parametric adaptive control method is effective to supress a chaotic response once happened into a required steady state periodic response.This control strategy is helpful to rotor system design and maintenance.