万向轴动不平衡检测的改进DTCWT-SVD方法

何刘 1,林建辉 1,刘新厂1,黄衍1

振动与冲击 ›› 2016, Vol. 35 ›› Issue (22) : 142-151.

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (22) : 142-151.
论文

万向轴动不平衡检测的改进DTCWT-SVD方法

  • 何刘 1,林建辉 1,刘新厂1,黄衍1
作者信息 +

Detection of the dynamic imbalance with cardan shaft applying the improving DTCWT-SVD

  • HE Liu 1  LIN Jianhui 1  LIU Xingchang 1 Huang yan 1
Author information +
文章历史 +

摘要

针对经典小波和双树复小波(Dual-tree complex wavelet transform,DTCWT)频率泄露和混叠的根本缺陷,提出改进DTCWT算法,该算法解决了经典小波存在负频率以及经典小波和DTCWT滤波器频率不完全截止问题。将改进DTCWT算法和奇异值分解(Singular value decomposition, SVD)引入到万向轴动不平衡检测中,该方法的核心是:对万向节安装机座的振动信号进行改进DTCWT变换得到不同尺度的分解信号,对低频近似信号进行奇异值分解,以奇异值关键叠层作为奇异值的选择准则对信号进行重构,应用重构信号的傅里叶谱来检测高速列车万向轴的动不平衡。该方法在消除经典小波变换和DTCWT频率混叠的同时提高谱线清晰度,凸显故障特征。应用万向轴动不平衡试验数据对该方法进行试验验证,结果表明:改进DTCWT-SVD能够很好提取出万向轴动不平衡故障特征频率的基频、倍频,与经典小波、DTCWT、纯改进DTCWT相比,该方法在谱的清晰度和故障表征力上得到了显著提高。

Abstract

A new improving algorithm of the dual tree complex wavelet transform (DTCWT) is proposed  aiming at the leakage frequency and aliasing defect existing in classical wavelet transform and DTCWT. The improving algorithm solves the problem of negative frequencies existing in classic wavelet and the problem of the frequency of filter being incomplete cutoff in classic wavelet transform and DTCWT. The improving DTCWT and singular value decomposition (SVD) was introduced into the dynamic imbalance detection of cardan shaft. The vibration signals of gimbal installed base were decomposed through the improving DTCWT to get the different scale decomposition signal. The signal of low-frequency approximation was decomposed by the singular value decomposition, the key singular value were selected to reconstruct to vibration signal based on the key stack of singular value. Fourier spectrum of the reconstructed signal was applied to detect dynamic imbalance with shaft and eliminated unbalanced fault submerged defects, highlighted the failure characteristics. The method was verified by test data in the condition of dynamic imbalance, the results showed the method of improving DTCWT-SVD can effectively detect the fundamental frequency and frequency multiplication caused by cardan shaft dynamic imbalance. With the comparisons among the classical wavelet transform, the DTCWT and the simple improving DTCWT, the clarity and failure characterization force have been significantly improved by using improving DTCWT-SVD.

关键词

万向传动轴 / 改进DTCWT / 奇异值分解 / 动不平衡检测

Key words

dynamic imbalance with cardan shaft / Improving DTCWT / SVD / dynamic detection

引用本文

导出引用
何刘 1,林建辉 1,刘新厂1,黄衍1. 万向轴动不平衡检测的改进DTCWT-SVD方法[J]. 振动与冲击, 2016, 35(22): 142-151
HE Liu 1 LIN Jianhui 1 LIU Xingchang 1 Huang yan 1. Detection of the dynamic imbalance with cardan shaft applying the improving DTCWT-SVD[J]. Journal of Vibration and Shock, 2016, 35(22): 142-151

参考文献

[1] 冷扬立,李秋泽,李庆国等. CRH5 型动车组万向轴结构及临界转速分析[J]. 铁道车辆,2010,48(12):6-11.
Leng Yangli, Liqiuze, Liqingguo, et al. Analysis of the Structure and Critical Rotating Speedof the Cardan Shafts for CRH5 Multiple Units[J]. Railway vehicles, 2010,48(12):6-11.
[2] 张红军,姚远,罗赟等. CRH5型动车万向轴传动系统技术特征分析[J]. 铁道学报,2009,31(2):115-119.
Zhang Hongjun, Yao Yuan, Luo Yun, et al. Analysis on Technical Characteristics of CRH5 Cardan Drive System[J]. Journal of the china railway society, 2009,31(2):115-119.
[3] 姚远,张红军,罗赟. CRH5型动车万向轴扭转振动分析[J].中国铁道科学,2009,30(2):82-86.
Yao Yuan,Zhang Hongjun,Luo Yun. Analysis on the Torsional Vibration of Cardan Shaft on CRH5 Motor Car[J]. China railway science, 2009,30(2):82-86.
[4] 牟世刚,冯显英,晏志文.基于小波分析的动平衡机不平衡量提取方法研究[J]. 山东大学学报,2011,41(3):62-66.
Mu Shigang, Feng Xianying, Yan Zhiwen et al. Study on unbalanced signal extraction from a dynamic balancing machine based on wavelet analysis[J]. Journal of shandong university, 2011,41(3):62-66.
[5] Dongju Chen, Jinwei Fan, Feihu Zhang. Extraction unbalance features of spindle system using wavelet transform and power spectraldensity [J]. Measurement, 2013, 46:1279-1290.
[6]陈果.一种改进的谐波小波及其在转子故障诊断中的应用[J]. 机械工程学报,2011,47(1):8-16.
   Chen Guo. An Improved Harmonic Wavelet and Its Application to Rotor Faults Diagnosis. Journal of mechanical engineering, 2011,47(1):8-16.
[7] Zhang YanPing, Huang ShuHong, Hou JingHong et al. Continuous wavelet grey moment approach for vibration analysis of rotating machinery[J], Mechanical Systems and Signal Processing, 2006,20: 1202–1220
[8] Kingsbury N G. Complex wavelet for shift invariant analysis and filtering of signals [J]. Applied and Computational Harmonic Analysis,2001,10(3):234-253.
[9] Selesnick I W, Baraniuk R G, Kingsbury N G. The dual-tree complex wavelet transform [J]. Signal Processing Magazine, IEEE, 2005,22(6):123-151.
[10] 胥永刚,孟志鹏,赵国亮等.基于双树复小波包变换能量泄露特性分析的齿轮故障诊断[J]. 农业工程学报,2014,30(2):72-77.
Xu Yonggang, Meng Zhipeng, Zhao Guoliang, et al. Analysis of energy leakage characteristics of dual-tree complex wavelet packet transform and its application on gear fault diagnosis[J].Transaction of the Chinese Society of Agricultural Engineering, 2014,30(2):72-77.
[11] 艾树峰.基于双树复小波包变换的轴承故障诊断研究[J]. 中国机械工程,2011,22(20):2446-2451.
Ai Shufeng. Research on Bearing Fault Diagnosis Based on Dual-tree Complex Wavelet Transform[J]. China Mechanical Engineering, 2011,22(20): 2446-2451.
[12] 李纪永,李舜酩,陈晓红等. 基于双树复小波变换的转静碰摩响应分析[J], 振动与冲击,2014,33(22):106-110.
   Li Jiyong, Li Shunming, Chen Xiaohong, et al. Rotor-stator rub-impact response analysis based on DTCWT [J], Journal of Vibration and Shock, 2014,33(22):106-110.
[13] 王肖芬,徐科军,沈峄. 小波滤波器幅频特性研究[J], 合肥工业大学学报, 2003,26(2):171-175.
   Wang Xiaofen, Xu Kejun, Shen Yi. Research on the amplitude-frequency characteristic of wavelet transform [J], Journal of Hefei University of Technology , 2003, 26(2): 171-175.
 [14] 戈卢布G H,范洛恩 C F. 矩阵计算[M]. 袁亚湘,译.北京:科学出版社,2001.
    GOLUB G H, VANLOAN C F. Matrix computations[M].
    Translated by YUAN Yaxiang. Beijing: Science Press,
     2001.
[15] 赵学智,叶邦彦,陈统坚.奇异值差分谱理论及其在车床主轴箱故障诊断中的应用[J].机械工程报,2010,46(1):100-108.
ZHAO Xuezhi, YE Bangyan, CHEN Tongjian. Difference Spectrum Theory of Singular Value and Its Application to the Fault Diagnosis of Headstock of Lathe[J]. JOURNAL OF MECHANICAL ENGINEERING, 2010,46(1):100-108.
 

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