基于非线性输出频率响应函数的转子不对中-碰摩耦合故障诊断方法研究

doi:10.3901/JME.2019.19.084

摘要/Abstract

摘要： 基于非线性输出频率响应函数(NOFRF)的独特优势，将非线性输出频率响应函数引入到转子不对中-碰摩耦合故障中，提出了基于非线性输出频率响应函数的转子不对中-碰摩耦合故障诊断方法。利用提出的方法辨识得到了不同对中度及其角度的转子系统的NOFRF值，对比分析了不对中度及其角度对转子系统各阶NOFRF值的影响。仿真结果表明随着不对中度和角度的增加，NOFRF中二次谐波二阶非线性输出频率响应函数和二次谐波四阶非线性输出频率响应函数有着较为明显的增幅；一次谐波三阶非线性输出频率响应函数随不对中角度的增加而减小。因此，可以依据二次谐波二阶非线性输出频率响应函数、二次谐波四阶非线性输出频率响应函数、一次谐波三阶非线性输出频率响应函数值的变化规律识别转子系统的不对中程度。最后通过试验结果验证了仿真结果的正确性，研究成果为具有不对中-碰摩耦合故障的转子系统的故障诊断提供了重要的依据。

关键词: 非线性输出频率响应函数, 转子不对中, 碰摩, 故障诊断, 系统辨识

Abstract: Based on the unique advantages of the nonlinear output frequency response function (NOFRF), the nonlinear output frequency response function is introduced to the rotor system with coupling faults of misalignment and rub-impact, a fault diagnosis method based on NOFRF for coupling faults of misalignment and rub-impact is proposed. The proposed method used to identify the NOFRF values of rotor systems with different degrees of misalignment and different angles, and the influence of misalignment and angle on the NOFRF values of various orders of the rotor system is analyzed. The simulation results show that the second harmonic second-order NOFRF value and the fourth-order NOFRF value have a significant increase with the increase of misalignment and angle. The first harmonic third-order NOFRF value decreases with the increase of misalignment angle. Therefore, the degree of misalignment of the rotor system can be identified based on the variation of the second harmonic second-order NOFRF value, the second harmonic fourth-order NOFRF value and the first harmonic third-order NOFRF value. Finally, the experimental results verify the correctness of the simulation results. The research results obtained provide an important evidence for fault diagnosis of rotor systems with coupling faults of misalignment and rub-impact.

Key words: nonlinear output frequency response function, rotor misalignment, rubbing, fault diagnosis, system identification

中图分类号:

TH17

李志农, 李云龙, 刁海洋. 基于非线性输出频率响应函数的转子不对中-碰摩耦合故障诊断方法研究[J]. 机械工程学报, 2019, 55(19): 84-91.

LI Zhinong, LI Yunlong, DIAO Haiyang. Research on Diagnosis Method of Rotor Misalignment-bumping Coupling Fault Based on Nonlinear Output Frequency Response Function[J]. Journal of Mechanical Engineering, 2019, 55(19): 84-91.

参考文献

[1] 艾延廷,付琪,田晶,等. 基于融合信息熵距的转子裂纹-碰摩耦合故障诊断方法[J]. 航空动力学报,2013,28(10):2161-2166. AI Yanting,FU Qi,TIAN Jing,et al. Diagnosis method for crack-rubbing coupled fault in rotor system based on integration of information entropy distance[J]. Journal of Aerospace Power,2013,28(10):2161-2166.
[2] 时培明,王敬,党会,等. 基于改进EMD和FastICA的旋转机械耦合故障诊断方法研究[J]. 现代制造工程,2016(7):12-18. SHI Peiming,WANG Jing,DANG Hui,et al. Study on coupling faults of rotary machinery diagnosis method based improved EMD and FastICA[J]. Modern Manufacturing Engineering,2016(7):12-18.
[3] 陶海亮,左志涛,高庆,等. 基于时频分析的裂纹转子碰摩故障特征研究[J]. 推进技术,2013,34(4):520-528. TAO Hailiang,ZUO Zhitao,GAO Qing,et al. Fault analysis of rotor with rub-impact and crack based on time-frequency analysis[J]. Journal of Propulsion Technology,2013,34(4):520-528.
[4] 焦卫东,蒋永华,施继忠,等. 一种旋转机械系统耦合故障诊断的新方法[J]. 仪器仪表学报,2016,37(7):1449-1456. JIAO Weidong,JIANG Yonghua,SHI Jizhong,et al. New approach for diagnosis on coupled faults of rotating machine system[J]. Chinese Journal of Scientific Instrument,2016,37(7):1449-1456.
[5] 徐自力,窦柏通,范小平,等. 基于分层模态综合法的大型汽轮发电机组转子-末级叶片耦合系统扭转振动分析[J]. 动力工程学报,2014,12:938-944. XU Zili,DOU Baitong,FAN Xiaoping,et al. Coupled torsional vibration analysis of shaft-last stage blade system in large turbo-generator units using CMS method with nested substructures[J]. Power Engineering,2014,12:938-944.
[6] XIA X,ZHOU J,LI C,et al. A novel method for fault diagnosis of hydro generator based on NOFRFs[J]. International Journal of Electrical Power & Energy Systems,2015,71:60-67.
[7] PETKOVSKA M,DO D D. Use of higher-order frequency response functions for identification of nonlinear adsorption kinetics:Single mechanisms under isothermal conditions[J]. Nonlinear Dynamics,2000,21(4):353-376.
[8] 李志农,杜宜光,肖尧先. 基于非线性输出频率响应函数的多裂纹转子故障诊断方法研究[J]. 兵工学报,2015,36(6):1096-1103. LI Zhinong,DU Yiguang,XIAO Yaoxian. Fault diagnosis method of rotor system with multi-crack based on nonlinear output frequency response function[J]. Acta Armamentarii,2015,36(6):1096-1103.
[9] ALEVRAS P,THEODOSSIADES S,RAHNEJAT H. On the dynamics of a nonlinear energy harvester with multiple resonant zones[J]. Nonlinear Dynamics,2018,92(3):1271-1286.
[10] 韩海涛,马红光,李飞,等. 基于系统输出频率响应函数的非线性系统研究[J]. 工程设计学报,2011,45(10):77-81. HAN Haitao,MA Hongguang,LI Fei,et al. Research on nonlinear system based on output frequency response functions[J]. Journal of Engineering Design,2011,45(10):77-81.
[11] 姚红良,韩清凯,冯霏,等. 多自由度局部非线性系统频域响应及非线性位置的辨识方法[J]. 动力学与控制学报,2011,9(2):107-110. YAO Hongliang,HAN Qingkai,FENG Fei,et al. NOFRF of the locally nonlinear MDOF system and the detection method of the nonlinearity position[J]. Journal of Dynamics and Control,2011,9(2):107-110.
[12] 韩清凯,杨英,郎自强,等. 基于非线性输出频率响应函数的转子系统碰摩故障的定位方法研究[J]. 科技导报,2009,27(2):29-32. HAN Qingkai,YANG Ying,LANG Zhiqiang,et al. A novel method for locating rub-impacts in rotor systems using a nonlinear output frequency response functions[J]. Science & Technology Review,2009,27(2):29-32.
[13] 程长明. 基于Volterra级数的非线性系统辨识及其应用研究[D]. 上海:上海交通大学,2015. CHENG Changming. Volterra series based nonlinear system identification and it's application[D]. Shanghai:Shanghai Jiao Tong University,2015.
[14] RUGH W J. Nonlinear system theory[M]. Charles Village:The Johns Hopkins University Press,2002.
[15] PENG Z K,LANG Z Q,BILLINGS S A,et al. Analysis of locally nonlinear MDOF systems using nonlinear output frequency response functions[J]. Journal of Vibration and Acoustics,2009,131(5):51-63.
[16] 武红霞,韩捷,陈宏,等. 基于NOFRF裂纹转子非线性频谱分析[J]. 机械强度,2017,39(6):1271-1274. WU Hongxia,HAN Jie,CHEN Hong,et al. Nonlinear frequency spectral analysis of cracked rotor based on NOFRF[J]. Journal of Mechanical Strength,2017,39(6):1271-1274.
[17] 杨凯,张业伟,丁虎,等. 基于非线性输出频响函数的NES动力学参数设计[J]. 振动与冲击,2016,35(21):76-80,86. YANG Kai,ZHANG Yewei,DING Hu,et al. Parametric design of nonlinear energy sinks based on nonlinear output frequency-response functions[J]. Journal of Vibration and Shock,2016,35(21):76-80,86.
[18] PENG Z K,LANG Z Q,BILLINGS S A,et al. Analysis of bilinear oscillators under harmonic loading using nonlinear output frequency response functions[J]. International Journal of Mechanical Sciences,2007,49(11):1213-1225.
[19] 陈果,李成刚,王德友. 航空发动机转子-滚动轴承-支承-机匣耦合系统的碰摩故障分析与验证[J]. 航空动力学报,2008,23(7):1304-1311. CHEN Guo,LI Chenggang,WANG Deyou. Nonlinear dynamic analysis and experiment verification of rubbing fault s of rotor-ball bearing-support-stator coupling system for aero-engine[J]. Journal of Aerospace Power,2008,23(7):1304-1311.
[20] XU M,MAZANGONI R D. Vibration analysis of a motorflexible coupling rotor system subject to misalignment and unbalance:Part I-Theoretical model and analysis[J]. Journal of Sound and Vibration,1994,176:663-679.
[21] XU M,MAZANGONI R D. Vibration analysis of a motorflexible coupling rotor system subject to misalignment and unbalance:Part2-Experimental validation[J]. Journal of Sound and Vibration,1994,176:681-691.