高速齿轮动态传动误差的希尔伯特-黄变换分析

刘洋; 唐进元; 钱露露

doi:10.13433/j.cnki.1003-8728.2017.0403

高速齿轮动态传动误差的希尔伯特-黄变换分析

doi: 10.13433/j.cnki.1003-8728.2017.0403

1.
中南大学高性能复杂制造国家重点实验室, 长沙 410083

基金项目:

国家自然科学基金项目（51275530、51535012、51305462）资助

详细信息

作者简介:
刘洋(1991-),硕士,研究方向为齿轮动力学、信号处理,88562369@qq.com

通讯作者:
唐进元(联系人),教授,硕士,jytangcsu@163.com

计量
- 文章访问数: 210
- HTML全文浏览量: 41
- PDF下载量: 9
- 被引次数: 0
出版历程
- 收稿日期: 2015-08-26
- 刊出日期: 2017-04-05

Analyzing Dynamic Transmission Errors of a High-speed Gear with the Hilbert-Huang Transform

1.
State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China

摘要

摘要: 高速齿轮传动误差测量与分析是一个急需解决的难题。通过构建动态传动误差测量系统，测得高速齿轮动态传动误差曲线，并将希尔伯特-黄变换（HHT）应用于高速齿轮动态传动误差信号分析，自适应得到高速齿轮动态传动误差信号不同频率成分的固有模态函数，分离出轴频分量和齿频分量，获得动态传动误差希尔伯特谱。为了验证HHT的可行性与正确性，利用快速傅立叶变换（FFT）对相同的传动误差信号进行频谱分析。结果表明：HHT在高速齿轮动态传动误差信号的分频、滤波方面都具有优越性；相比FFT，希尔伯特-黄变换能够很好的提取信号的高频特征，将传动误差信号各成分分离，分析结果更加精确。
- 高速齿轮 /
- 传动误差 /
- 希尔伯特-黄变换 /
- 频谱分析
Abstract: It is urgently necessary to measure and analyze the dynamic transmission error signals of a high-speed gear. The paper constructs a dynamic transmission error measurement system, from which the error curve is obtained and then the error curve is analyzed with the Hilbert-Huang Transform(HHT). The intrinsic mode functions of different frequency components of the dynamic transmission error signal is adaptively gained. Then we separate the axis frequency spectrum and tooth frequency spectrum and obtain the Hilbert spectrum of the error signal. To verify the feasibility and correctness of the error analysis method based on the HHT, we use the Fast Fourier Transform (FFT) to analyze the same transmission error signal. The analysis results show that the HHT is good at frequency spectrum division and filtering of the dynamic transmission error signal of high-speed gear. Compared with the FFT, it can accurately separate the frequency spectra of the transmission error signal, thus having more accurate analysis.
- high-speed gear /
- dynamic transmission error /
- Hilbert-Huang transform /
- frequency spectrum analysis

HTML全文

参考文献(19)

[1]	Munro R G, Morrish L, Palmer D. Gear transmission error outside the normal path of contact due to corner and top contact[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 1999,213(4):389-400
[2]	Chen S Y, Tang J Y, Wu L J. Dynamics analysis of a crowned gear transmission system with impact damping: based on experimental transmission error[J]. Mechanism and Machine Theory, 2014,74:354-369
[3]	陈义仁,蔡忠杓.受负载之正齿轮对的传动误差探讨[J].国立交通大学学报,2004,(4):5-31 Chen Y R, Cai Z Z. Investigation on transmission errors of a loaded spur gear pair[J]. Journal of National Chiao Tung University, 2004,(4):5-31 (in Chinese)
[4]	Houser D, Blankenship G. Methods for measuring gear transmission error under load and at operating speeds[R]. SAE Technical Paper 891869, 1989:42-45
[5]	Smith R E. What single flank measurement can do for you[C]//AGMA Fall Technical Meeting. Washington, DC, USA: AGMA, 1984
[6]	Smith R E. Identification of gear noise with single flank composite measurement[R]. AGMA Technical Paper No. 85FTM13, Washington, DC, USA, 1985
[7]	Smith R E. The relationship of measured gear noise to measured gear transmission errors[R]. AGMA Technical Paper No. 87FTM6, Washington, DC, USA, 1987
[8]	Li S T. Effects of machining errors, assembly errors and tooth modifications on loading capacity, load-sharing ratio and transmission error of a pair of spur gears[J]. Mechanism and Machine Theory, 2007,42(6):698-726
[9]	邓效忠,徐爱军,张静,等.基于时标域频谱的齿轮传动误差分析与试验研究[J].机械工程学报,2014,50(1):85-90 Deng X Z, Xu A J, Zhang J, et al. Analysis and experimental research on the gear transmission error based on pulse time spectrum[J]. Journal of Mechanical Engineering, 2014,50(1):85-90 (in Chinese)
[10]	吕文利,唐进元,刘艳萍.基于虚拟仪器的齿轮传动装置效率测试[J].机械传动,2006,30(1):64-67 Lv W L, Tang J Y, Liu Y P. Gear transmission efficiency test based on virtual instrument[J]. Journal of Mechanical Transmission, 2006,30(1):64-67 (in Chinese)
[11]	邵文,唐进元,李松.基于传动误差数据的齿轮误差检测方法与系统[J].测控技术,2011,30(11):91-95 Shao W, Tang J Y, Li S. Gear errors measuring method and system based on transmission error[J]. Measurement & Control Technology, 2011,30(11):91-95 (in Chinese)
[12]	李松.齿轮动态传动误差高精度测试系统设计与分析[D].长沙:中南大学,2011 Li S. Design and analysis of gear dynamic transmission error precise testing systems[D]. Changsha: Central South University, 2011 (in Chinese)
[13]	Tang J J, Tang J Y. Transmission error calculation based on manufacturing errors and load[J]. Advanced Materials Research, 2014,971-973:848-851
[14]	萨本佶.高速齿轮传动设计[M].北京:机械工业出版社,1986 Sa B J. High speed gear transmission design[M]. Beijing: China Machine Press, 1986 (in Chinese)
[15]	Loutridis S J. Damage detection in gear systems using empirical mode decomposition[J]. Engineering Structures, 2004,26(12):1833-1841
[16]	Davoli P, Gorla C, Rosa F, et al. Transmission error and noise emission of spur gears: a theoretical and experimental approach[C]//ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Las Vegas, Nevada: American Society of Mechanical Engineers, 2007:443-449
[17]	程晓伟,石晓辉,施全.二级齿轮传动传动误差的理论与实验研究[J].重庆理工大学学报(自然科学版),2010,24(11):19-24 Cheng X W, Shi X H, Shi Q. Theory and experiment study on transmission error of two-staged gear system[J]. Journal of Chongqing University of Technology (Natural Science), 2010,24(11):19-24 (in Chinese)
[18]	Abbes M S, Fakhfakh T, Haddar M, et al. Effect of transmission error on the dynamic behaviour of gearbox housing[J]. The International Journal of Advanced Manufacturing Technology, 2007,34(3-4):211-218
[19]	Tuma J. Simple gear set dynamic transmission error measurements[C]//13th International Congress on Sound and Vibration. Vienna, Austria, 2006:4605-4612