行星齿轮传动系统复杂微弱故障的非线性特性

梁晓玉; 徐玉秀; 邢钢; 闻邦椿

doi:10.13433/j.cnki.1003-8728.2015.0410

行星齿轮传动系统复杂微弱故障的非线性特性

doi: 10.13433/j.cnki.1003-8728.2015.0410

梁晓玉^1,2,
徐玉秀^1,2, ,,
邢钢^1,2,
闻邦椿³

1.
天津工业大学机械工程学院, 天津 300387;
2.
现代机电装备技术重点实验室, 天津 300387;
3.
东北大学机械工程与自动化学院, 沈阳 110006

基金项目:

国家重大科技成果转化项目（2060403）、国家自然青年基金项目（11102134）及天津市自然科学基金重点项目（10JCZDJC23400）资助

详细信息

作者简介:
梁晓玉（1987-），硕士研究生，主要研究方向为机械振动及故障诊断，lxy0726@163.com

通讯作者:
徐玉秀，教授，博士，xuyu@tjpu.edu.cn

计量
- 文章访问数: 152
- HTML全文浏览量: 24
- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2013-08-21
- 刊出日期: 2015-04-05

Nonlinear Characteristics of Complex and Weak Faults of Planetary Gear Transmission System

Liang Xiaoyu^1,2,
Xu Yuxiu^{1,2
, ,},
Xing Gang^1,2,
Wen Bangchun³

1.
School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin 300387;
2.
Key Laboratory of Advanced Mechatronics Equipment Technology, Tianjin 300387;
3.
School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110006

摘要

摘要: 针对行星齿轮传动系统振动信号的非线性、非平稳性和故障特征微弱等特点，基于混沌理论对行星齿轮传动系统的正常、单一和多类耦合故障特性进行了综合分析与研究。用小波包算法对所采集的振动信号进行预处理；恰当选取最佳时延和最小嵌入维数重构相空间。在此基础上，用相图定性描述不同故障状态的故障类型；用关联维数和最大Lyapunov指数量化其各故障状态的特性和程度。研究结果表明：5种不同状态下的相图有一定的差异性；且故障越严重、故障耦合的越多，其关联维数和最大Lyapunov指数越大，混沌特性越强。因此，利用混沌的定性和定量方法可以有效识别行星齿轮传动系统的单一故障以及故障特征频率不重叠和故障特征频率重叠的两类耦合故障。
- 行星齿轮传动系统 /
- 相图 /
- 关联维数 /
- 最大Lyapunov指数 /
- 故障诊断
Abstract: Taking into consideration the vibrational signals of nonlinear and non-stationary and weak faults of a planetary gear transmission system, the paper conducted a comprehensive analysis of its normal, single and multiple coupling failure characteristics based on the chaos theory. The acquisition of vibrational signal was pretreated using the wavelet packet algorithm. The best time delay and minimum embedding dimension were chosen to reconstruct phase space. On this basis, phase portraits were used to qualitatively describe the failure types of different failure states; correlation dimensions and the largest Lyapunov exponent were used to quantify the characteristics and levels of different failure states. The analysis results show that the phase portraits of five different failure states have certain differences, the more serious the fault, the more coupling faults there are, the larger correlation dimensions and the Lyapunov exponent are, and the greater chaos characteristics of failure states are. Thus the qualitative and quantitative methods of the chaos theory can be used to identify the single fault and two coupling faults of the planetary gear transmission system. Its coupling faults have non-overlapping and overlapping fault features.
- algorithms /
- chao theory /
- correlation dimension /
- failure analysis /
- fault diagnosis

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参考文献(15)

[1]	高胜利,赵小荣,申强.风力发电机组齿轮箱故障诊断[J].电力电子技术,2011,45(10):66-67 Gao S L,Zhao X R,Shen Q.The fault diagnosis of gearbox of the wind turbine[J]. Power Electronics,2011,45(10):66-67 (in Chinese)
[2]	雷亚国,何正嘉,林京,等. 行星齿轮箱故障诊断技术的研究进展[J]. 机械工程学报,2011,47(19):59-67 Lei Y G, He Z J, Lin J, et al. Research advances of fault diagnosis technique for planetary gearboxes[J].Journal of Mechanical Engineering,2011,47(19):59-67 (in Chinese)
[3]	Barszcza T,Randall R B. Application of spectral kurtosis for detection of a tooth crack in the planetary gear of a wind turbine[J]. Mechanical Systems and Signal Processing, 2009,23(4):1352-1365
[4]	Saxena A, Wu B Q, Vachtsevanos G. A methodology for analyzing vibration data from planetary gear systems using complex Morlet wavelets[C]//American Control Conference, June 8-10,2005,USA.2005:4730-4735
[5]	Khawaja T S, Georgoulas G, Vachtsevanos G. An efficient novelty detector for online fault diagnosis based on least square support vector [C]// IEEEAutotestcon,September 8-11,2008,Salt Lake City, UT,USA.IEEE,2008:196-202
[6]	肖志松,唐力伟,王虹,等. 行星齿轮箱中齿轮故障模式判别[J]. 振动与冲击,2005,24(3):125-127 Xiao Z S, Tang L W, Wang H, et al. Criterion of fault model for gear in planetary-gearbox[J]. Journal of Vibration and Shock, 2005,24(3):125-127 (in Chinese)
[7]	冯占辉,胡茑庆,程哲.基于时频域状态指标的行星齿轮断齿故障检测[J].机械科学与技术,2010,29(6):701-704 Feng Z H,Hu N Q,Cheng Z.Faults detection of a planetary gear based on condition indicator in time-frequency domain[J].Mechanical Science and Technology for Aerospace Engineering, 2010,29(6):701-704 (in Chinese)
[8]	冯志鹏,褚福磊.行星齿轮箱齿轮分布式故障振动频谱特征[J].中国电机工程学报,2013,35(2):118-124 Feng Z P , Chu F L. Vibration spectral characteristics of distributed gear fault of planetary gearboxes[J]. Proceedings of the CSEE, 2013,35(2):118-124 (in Chinese)
[9]	冯志鹏,赵镭镭,褚福磊.行星齿轮箱齿轮局部故障振动频谱特征[J].中国电机工程学报,2013,33(5):119-126 Feng Z P,Zhao L L,Chu F L. Vibration spectral characteristics of localized gear fault of planetary gearboxes[J]. Proceedings of the CSEE, 2013,33(5):119-126 (in Chinese)
[10]	Jiang J D, Chen J, Qu L S, et al. The application of correlation dimension in gearbox condition monitoring[J]. Journal of Sound and Vibration, 1999, 223 (4) : 17
[11]	黄谦,李天伟,杨绍清,等.船舶航行数据的相空间重构及混沌特性分析[J].计算机应用,2011,31(11):3157-3164 Huang Q, Li T W, Yang S Q, et al. Analysis on phase space reconstruction and chaotic dynamic characteristic of ship's sailing data[J]. Journal of Computer Applications, 2011,31(11):3157-3164 (in Chinese)
[12]	丁晓蓉,郭兴明,钟丽莎.基于非线性混沌的心律失常心音信号分析[J].生物医学工程学杂志,2012,29(5):810-813 Ding X R, Guo X M, Zhong L S. Analysis of the heart sound with arrhythmia based on nonlinear chaos theory[J]. Journal of Biomedical Engineering,2012,29(5):810-813 (in Chinese)
[13]	蒙海花,王腊春,黄胜晔.鄱阳湖径流量时间序列的混沌特征分析[J].长江流域资源与环境,2011,20(5):540-544 Meng H H, Wang L C, Huang S Y. Chaos analysis of the monthly runoff time series in Poyang lake,china[J]. Resources and Environment in the Yangtze Basin,2011,20(5):540-544 (in Chinese)
[14]	谢向荣, 陈洪峰, 朱石坚.关联维数在齿轮箱振动信号特征提取中的应用[J].海军工程大学学报,2005,17(6):102-107 Xie X R, Chen H F, Zhu S J. Application of correlation dimension in extracting characteristics from vibration signals of gearbox[J]. Journal of Naval University of Engineering, 2005,17(6):102-107 (in Chinese)
[15]	李天伟,黄谦,杨绍清,等.舰船惯导航行数据的重构及混沌特性分析[J].舰船科学技术,2012,34(3):71-75 Li T W, Huang Q, Yang S Q, et al. Research on reconstruction and chaotic characteristic of ship's INS sailing data[J]. Ship Science and Technology, 2012,34(3):71-75 (in Chinese)