转子碰摩振动响应的非线性时间序列分析

针对碰摩转子系统的非线性特性 ,采用动力学非线性时间序列分析的方法对其振动响应进行了分析研究。基于动力学重构的基本理论 ,对碰摩转子响应进行了状态空间重构。在此基础上 ,进一步对碰摩转子系统振动响应进行了相关维数的估计 ,不同的相关维数值表明了系统是处于周期或拟周期运动 ,还是处于含有拟周期的混沌运动 ,或者是明显的混沌运动。系统碰摩严重时的相关维数值会比碰摩较轻时的相关维数值大 ,进一步对实验数据的计算结果也证实了这一点。

Nonlinear Time Series Analysis of the Rub-Impacting Rotor Vibration Response

Rub-impact of rotor system is a typical failure for an engine.The vibration response of a rub-impacting rotor system exhibits some nonlinear characteristics.How to diagnose the fault of the rub-impact rotor with the new theories of the modern signal analysis has become a noticeable research project.In this paper,the researches of the fault diagnosis of rub-impact rotor are carried out by the theory of nonlinear time series analysis considering the nonlinear dynamical characteristics of the rub-impacting rotor.Based on the theory of phase space reconstruction,the estimations of the embedding delay and dimension are deduced,and the reconstruction of the time series of the rub-impacting rotor system is completed.Then the correlation dimensions of the different time series are estimated.The performances of the diagnosing methods are studied and evaluated by means of the simulation data and the testing data of the rub-impacting rotor.It is found that the correlation dimension values can describe the extent that the behavior of the system approaches to chaos.The different correlation dimension values show the system to be in quasi-periodic vibration,chaotic vibration with quasi-periodic or obvious chaotic vibration.When rub-impact of the rotor system is serious,the correlation dimension increases.The computation of the testing data also prove this.