• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (11): 149-159.doi: 10.3901/JME.2019.11.149

• 机械动力学 • 上一篇    下一篇

广义参数化同步压缩变换及其在旋转机械振动信号中的应用

俞昆1, 罗志涛1, 李鸿飞1, 马辉1,2   

  1. 1. 东北大学机械工程与自动化学院 沈阳 110819;
    2. 东北大学航空动力装备振动及控制教育部重点实验室 沈阳 110819
  • 收稿日期:2018-06-12 修回日期:2018-12-14 出版日期:2019-06-05 发布日期:2019-06-05
  • 通讯作者: 马辉(通信作者),男,1978年出生,博士,教授,博士研究生导师。主要研究方向为转子系统动力学建模及故障诊断。E-mail:mahui_2007@163.com
  • 作者简介:俞昆,男,1991年出生,博士研究生。主要研究方向为变转速下滚动轴承-转子系统动力学建模及故障诊断。E-mail:kunyu9198@126.com
  • 基金资助:
    国家自然科学基金(11772089)和中央高校基本科研业务费专项基金(N170308028,N160313004)资助项目。

General Parameterized Synchrosqueezing Transform and Its Application in Rotating Machinery Vibration Signal

YU Kun1, LUO Zhitao1, LI Hongfei1, MA Hui1,2   

  1. 1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819;
    2. Key Laboratory of Vibration and Control of Aero-propulsion Systems Ministry of Education of China, Northeastern University, Shenyang 110819
  • Received:2018-06-12 Revised:2018-12-14 Online:2019-06-05 Published:2019-06-05

摘要: 广义参数化时频分析通过构造匹配的参数化变换核,能够有效提高强调频信号的时频能量聚集性。然而,受短时傅里叶变换中窗函数结构的影响,利用该方法获得的时频能量分布在真实瞬时频率附近始终存在能量扩散现象。同步压缩变换利用同步压缩操作可将短时傅里叶变换处理后的时频能量压缩至真实瞬时频率位置,然而,同步压缩变换仅适用于分析频率成分恒定的纯谐波信号。以短时傅里叶变换为纽带,将两种时频分析方法相结合,提出了广义参数化同步压缩变换。考虑到旋转机械振动信号多为多分量信号,通过迭代处理的方式,依次获取各单分量信号的时频能量分布,对其进行叠加得到最终的时频能量分布。通过数值仿真以及变转速下转子不对中、滚动轴承外圈故障模拟试验验证了所提方法的有效性。

关键词: 广义参数化时频分析, 广义参数化同步压缩变换, 同步压缩变换, 旋转机械振动信号

Abstract: Though general parameterized time-frequency analysis is able to improve the energy concentration of time-frequency (TF) representation by the matched parameterized kernel, restricted by the structure of window function in short term Fourier transform, the energy diffusion phenomenon always occurred in the instantaneous frequency (IF). Synchrosqueezing transform can squeeze the diffused TF energy into the IF. However, it only works on the purely harmonic signal. To enhance the concentration of TF energy distribution, a general parameterized synchrosqueezing transform by combining the merits of both TF techniques is proposed. Considering the rotating vibration signal can be mostly viewed as a multi-component signal, an iterative technique is used to analyze the TF energy distribution of each mono-component and then a superposition of the TF energy distribution of each mono-component is viewed as the final TF representation of rotating machinery. The effectiveness of the proposed method is validated by numerical simulated signal, rotor misalignment and bearing outer race fault vibration signal under speed-varying condition.

Key words: general parameterized synchrosqueezing transform, general parameterized time-frequency transform, rotating machinery vibration signal, synchrosqueezing transform

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