文章摘要
刘佳音,于晓光,王琦,李宏坤.基于Hankel矩阵与奇异值分解降噪方法的齿轮故障诊断研究[J].机床与液压,2018,46(1):158-162.
.Research of Fault Diagnosis for Gear Based on Hankel Matrix and Singular Value Decomposition Denoising Method[J].Machine Tool & Hydraulics,2018,46(1):158-162
基于Hankel矩阵与奇异值分解降噪方法的齿轮故障诊断研究
Research of Fault Diagnosis for Gear Based on Hankel Matrix and Singular Value Decomposition Denoising Method
  
DOI:10.3969/j.issn.1001-3881.2018.01.033
中文关键词: 齿轮断齿故障  Hankel矩阵  奇异值  降噪
英文关键词: Broken teeth fault of gear  Hankel matrix  Singular value  Denoising
基金项目:国家自然科学基金资助项目(51575075)
作者单位E-mail
刘佳音 辽宁科技大学机械工程与自动化学院 1763507596@qq.com 
于晓光 辽宁科技大学机械工程与自动化学院  
王琦 辽宁科技大学机械工程与自动化学院  
李宏坤 辽宁科技大学机械工程与自动化学院  
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中文摘要:
      将Hankel矩阵与奇异值分解相结合对齿轮故障信号进行降噪处理,并应用MATLAB软件实现,来降低信号中的噪声,提高信噪比,从而凸显故障的信息特征。首先将含噪的测量信号构成的Hankel矩阵分解成两个互不相关的空间——真实信号空间与噪声空间,采用3种不同的奇异值选择方法,即奇异值差分谱方法、特征均值方法以及奇异值中值方法,对两个空间的奇异值矩阵处理后,再重构信号,实现降低测量信号噪声的目的。利用计算数据和图像说明不同奇异值选择方法的降噪效果,得出奇异值中值方法对齿轮断齿故障信号降噪效果最佳。
英文摘要:
      Hankel matrix is combined with Singular Value Decomposition (SVD) for denoising the fault signal of gear using MATLAB software, in order to reduce noise in signals and improve Signal to Noise Ratio (SNR), so that to highlight the information feature of fault. The composed of measurement signal with noises of Hankel matrix was divided into two uncorrelated spaces, real signal space and noise space, and three different singular value selection methods respectively difference spectrum of singular value, mean value of eigenvalue and median of singular value were chosen to be applied, after processing the singular value matrix of two space, then reconstructed signal to reduce noise of measurement signal. The calculations and images show the denoising results of three different singular value selection methods, through which obtains that the median value of singular value method has the best denoising effect for broken teeth fault signal of gear.
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