二阶同步提取Chirplet变换及应用于变转速滚动轴承故障诊断  

Second-Order Synchroextracting Chirplet Transform and Its Application to the Fault Diagnosis of Variable Speed Rolling Bearing

作　　者：柯伟 金仲平 吕信策 余肇鸿 KE Wei;JIN Zhongping;LYU Xince;YU Zhaohong(Taizhou Special Equipment Inspection and Testing Institute,Taizhou Zhejiang 318000,China;School of Machinery and Automation,Wuhan University of Science and Technology,Wuhan Hubei 430081,China)

机构地区：[1]台州市特种设备检验检测研究院,浙江台州318000 [2]武汉科技大学机械与自动化学院,湖北武汉430081

出　　处：《机床与液压》2022年第14期176-181,共6页Machine Tool & Hydraulics

基　　金：国家自然科学基金青年科学基金项目(51805382);浙江省市场监督管理局科研计划项目(20190357)。

摘　　要：为提高同步提取变换(SET)对含噪信号或强调幅-调频(AM-FM)信号的分析效果,分析SET框架。对比基于短时傅里叶变换(STFT)与Chirplet变换(CT)的SET算法,CT比STFT的信号适应性更好,时频分析结果具有更高的能量聚集性。基于Chirplet变换和SET框架推导出同步提取Chirplet变换(SECT)公式。为进一步提高SECT在时频面的时频分析能力,利用相位二阶偏导数获得更加准确的瞬时频率估计;提出二阶同步提取Chirplet变换(SECT2),以获得高分辨率的时频表达。通过分析数值仿真信号、蝙蝠信号以及试验台轴承故障数据,验证了所提方法的有效性。In order to improve the analysis effect of synchroextracting transformation(SET)on noisy signals or emphasized amplitude-frequency modulation(AM-FM)signals,the SET framework was analyzed.Comparing the SET algorithm based on the short-time Fourier transform(STFT)with the Chirplet transform(CT),CT has better signal adaptability than STFT,and the time-frequency analysis results have higher energy concentration.Based on the CT and the SET framework,the formula for the synchroextracting Chirplet transform(SECT)was derived.In order to further improve the time-frequency analysis capability of SECT in the time-frequency plane,the second-order partial derivative of the phase was used to obtain a more accurate instantaneous frequency estimation;the second-order synchroextracting Chirplet transform(SECT2)was proposed to obtain high-resolution time-frequency representation.The effectiveness of the proposed method was verified by analyzing the numerical simulation signal,the bat signal and the bearing fault data of the test bench.

关 键 词：二阶同步提取Chirplet变换 时频分析 滚动轴承 故障诊断 

分 类 号：TH133.33[机械工程—机械制造及自动化]