双树复小波时频构造在齿轮系装配间隙检测的应用

陈彬强; 张周锁; 郭婷; 孙闯; 张杰; 何正嘉

doi:10.7652/xjtuxb201303002

您当前的位置：

首页 >

文章列表页 >

双树复小波时频构造在齿轮系装配间隙检测的应用

更新时间：2025-07-09

- 双树复小波时频构造在齿轮系装配间隙检测的应用
- Time-Frequency Domain Construction of Dual Tree Complex Wavelets for Assembly Clearance Detection of Gear Chains
- 西安交通大学学报 2013年47卷第3期页码：7-12
- 作者机构：
  
  西安交通大学机械制造系统工程国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2012-06-07。作者简介: 陈彬强(1986—),男,博士生;张周锁(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51275382,1117602);高校博士点专项基金资助项目(20110201130001)
- DOI：10.7652/xjtuxb201303002
  中图分类号： TH117
- 网络首发：2013-03-10，
  
  纸质出版：2013
- 稿件说明：
移动端阅览
陈彬强, 张周锁, 郭婷, 等. 双树复小波时频构造在齿轮系装配间隙检测的应用[J]. 西安交通大学学报, 2013,47(3):7-12.

Time-Frequency Domain Construction of Dual Tree Complex Wavelets for Assembly Clearance Detection of Gear Chains[J]. 2013, 47(3): 7-12.
陈彬强, 张周锁, 郭婷, 等. 双树复小波时频构造在齿轮系装配间隙检测的应用[J]. 西安交通大学学报, 2013,47(3):7-12. DOI： 10.7652/xjtuxb201303002.

Time-Frequency Domain Construction of Dual Tree Complex Wavelets for Assembly Clearance Detection of Gear Chains[J]. 2013, 47(3): 7-12. DOI： 10.7652/xjtuxb201303002.

摘要

为优化离散小波变换在机械设备非平稳周期性故障特征提取的时频局部化能力

研究了一种时频域的双树复小波构造方法。通过调整复尺度函数滤波器的频率响应函数

获得初始滤波器的冲击响应向量

然后从时域上利用迭代优化算法增强构造结果的正交性

来进一步抑制能量泄漏

从而可在零消失矩下保证构造结果的正则性。数值仿真表明

时频域构造方法具有低能量泄漏的特性

在重型车床主轴箱齿轮系的振动信号应用中

可有效地提取由滑移齿轮装配间隙引起的微弱周期性调制特征

提取效果明显优于经典Daubechies规范正交小波

以及纯粹时域构造的双树复小波。

Abstract

To optimize the time-frequency localizability of discrete wavelet transform in extracting nonstationary and periodic fault signatures of mechanical equipment

a time-frequency domain constructing scheme of dual tree complex wavelet transform(DTCWT)is investigated. Frequency responses with imposed phase shift condition and reduced energy leakage are designed for the prototype filters of scaling functions in the frequency domain. Subsequently

in the time domain the orthogonality and the energy leakage of the constructed DTCWT are further addressed. The regularity of the constructed DTCWT can be guaranteed even at zero vanishing moment. The reduced energy leakage effect of the constructing method is validated via numerical simulations. The constructed DTCWT is utilized to analyze the vibration signal of the gear train of a heavy-duty lathe and to successfully extract the weak periodic modulation signatures induced by the assembly clearance of the sliding gears. The extracting performance is superior to Daubechies orthonormal wavelet and DTCWT constructed purely in the time domain.

关键词

Keywords

references

LEI Yaguo, KONG Detong, LIN Jing, et al. Fault detection of planetary gear boxes using new diagnostic parameters [J]. Measurement Science and Technology, 2012, 23(5): 1-10.

何正嘉, 訾艳阳, 陈雪峰, 等. 内积变换原理与机械故障诊断 [J]. 振动工程学报, 2007, 20(5): 528-533.

HE Zhengjia, ZI Yanyang, CHEN Xuefeng, et al. Transform principle of inner product for fault diagnosis [J]. Journal of Vibration Engineering, 2007, 20(5): 528-533.

WANG Shibin, HUANG Weiguo, ZHU Zhongkui. Transient modeling and parameter identification based on wavelet and correlation filtering for rotating machine fault diagnosis [J]. Mechanical Systems and Signal Processing, 2011, 25(4): 1299-1320.

SELESNICK I W, BRARNIUK R G, KINGBURY N G. The dual tree complex wavelet transform [J]. IEEE Signal Processing Magazine, 2005, 22(6): 123-151.

KINGSBURY N G. Complex wavelets and shift invariance [C]∥IEE Colloquium on Time-Scale and Time-Frequency Analysis and Applications. London, UK: IET, 2000: 1-10.

KINGSBURY N G. Design of q-shift complex wavelets for image processing using frequency domain energy minimization [C]∥IEEE International Conference on Image Processing. Piscataway, NJ, USA: IEEE, 2003: 1013-1016.

WANG Yanxue, HE Zhengjia, ZI Yanyang. Enhancement of signal denoising and multiple fault signatures detecting in rotating machinery using dual-tree complex wavelet transform [J]. Mechanical Systems and Signal Processing, 2010, 24(1): 119-137.

DAUBECHIES I. Ten lectures on wavelets, CBMS-conference lecture notes [M]. Philadelphia, USA: SIMA, 1992.

PENG Zhike, JACKSON R R, CHU Fulei, et al. On the energy leakage of discrete wavelet transform [J]. Mechanical Systems and Signal Processing, 2009, 23(2): 330-343.

MALLAT S. A wavelet tour of signal processing [M]. 2nd ed. New York, USA: Academic Press, 1999.

TAY D B H, KINGSBURY N G, PALANISWAMI M. Orthonormal Hilbert-pair of wavelets with(almost)maximum vanishing moments [J]. IEEE Signal Processing Letters, 2006, 13(9): 533-536.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

面向高海拔空冷发电机防晕性能演化规律的电热耦合研究

离子液体改性燃料的电流体动力学效应研究

采用试验设计方法的第三代CO2气体箔轴承箔片几何参数敏感性分析

混合电解槽阵列协同的风光耦合制氢系统双层多目标优化

结构-语义-残差协同的图像压缩框架：面向隐私保护与高保真重建