基于BEMD的二元滤波器及其在转子轴心轨迹提纯中的应用
|
摘要
在二元经验模态分解(Bivariate Empirical Mode Decomposition,BEMD)的基础上设计了一种二元时空滤波器(Bivariate-Time-Space Filter Banks,BTSFB),并将其用于转子轴心轨迹提纯。首先,介绍了BEMD原理;其次,根据BEMD方法获得的复固有模态函数(Complex Intrinsic Mode Functions,CIMFs)按旋转速度从高到低排列的特点构造了具有良好自适应能力的BTSFB;然后,联合BEMD和全矢谱方法确定BTSFB用于转子轴心轨迹提纯的CIMFs的阶数,以便提纯轴心轨迹。转子不对中和动静部件碰摩的实验结果表明BTSFB不仅可提纯轴心轨迹,还可进行轴心轨迹的三维显示以及判断轴心轨迹运动方向。
Bivariate-time-space filter bank( BTSFB) was designed based on the bivariate empirical mode decomposition( BEMD) and applied to purify rotor shaft center trajectory. Firstly,the principle of BEMD was introduced.Secondly,the BTSFB with a good adaptive ability was constructed with complex intrinsic mode functions( CIMFs)obtained by BEMD and arranged according to rotating speed from high to low. Finally,the BEMD combined with the total vector spectrum method was used to determine the order of CIMFs in the BTSFB so as to purify rotor shaft center trajectory. The test results of rotor misalignment and rubbing between dynamic parts and static ones showed that the BTSFB can not only purify rotor shaft center trajectory,but also display the 3-D rotor shaft center trajectory and judge the trajectory motion direction.
Bivariate-time-space filter bank( BTSFB) was designed based on the bivariate empirical mode decomposition( BEMD) and applied to purify rotor shaft center trajectory. Firstly,the principle of BEMD was introduced.Secondly,the BTSFB with a good adaptive ability was constructed with complex intrinsic mode functions( CIMFs)obtained by BEMD and arranged according to rotating speed from high to low. Finally,the BEMD combined with the total vector spectrum method was used to determine the order of CIMFs in the BTSFB so as to purify rotor shaft center trajectory. The test results of rotor misalignment and rubbing between dynamic parts and static ones showed that the BTSFB can not only purify rotor shaft center trajectory,but also display the 3-D rotor shaft center trajectory and judge the trajectory motion direction.
引文
[1]王红军,徐小力,万鹏.基于轴心轨迹流形拓扑空间的转子系统故障诊断[J].机械工程学报,2014,50(5):95-101.WANG Hongjun,XU Xiaoli,WAN Peng.Rotor system fault diagnosis based on orbit manifold topological[J].Journal of Mechanical Engineering,2014,50(5):95-101.
[2]李伟,季磊磊,施卫东,等.混流泵起动过程转子轴心轨迹的试验研究[J].机械工程学报,2016,52(2):168-177.LI Wei,JI Leilei,SHI Weidong,et al.Experimental study on orbit of shaft centerline of mixed-flow pump during starting period[J].Journal of Mechanical Engineering,2016,52(2):168-177.
[3]张文斌,周晓军,杨先勇,等.基于谐波窗方法的转子轴心轨迹提纯[J].振动与冲击,2009,28(8):74-77.ZHANG Wenbin,ZHOU Xiaojun,YANG Xiaoyong,et al.Harmonic window method for purification of axis trace[J].Journal of Vibration and Shock,2009,28(8):74-77.
[4]张文斌,周晓军,沈路,等.基于形态小波的转子轴心轨迹提纯[J].浙江大学学报(工学版),2010,44(8):1449-1453.ZHANG Wenbin,ZHOU Xiaojun,SHEN LU,et al.Purification of rotor axis’s orbit based on morphological wavelet[J].Journal of Zhejiang University(Engineering Science),2010,44(8):1449-1453.
[5]黄传金,孟雅俊,雷文平,等.复局部均值分解全矢包络技术及其在转子故障特征提取中的应用[J].机械工程学报,2016,52(7):69-78.HUANG Chuanjin,MENG Yajun,LEI Wenping,et al.Full vector envelope technique based on complex local mean decomposition and its application in fault feature extraction for rotor system[J].Journal of Mechanical Engineering,2016,52(7):69-78.
[6]马宏伟,张大伟,曹现刚,等.基于EMD的振动信号去噪方法研究[J].振动与冲击,2016,35(22):38-40.MA Hongwei,ZHANG Dawei,CAO Xiangang,et al.Vibration signal de-noising method based on empirical mode decomposition[J].Journal of Vibration and Shock,2016,35(22):38-40.
[7]隋文涛,张丹,Wilson Wang.基于EMD和MKD的滚动轴承故障诊断方法[J].振动与冲击,2015,34(9):55-59.SUI Wentao,ZHANG Dan,Wilson Wang.Fault diagnosis of rolling element bearings based on EMD and MKD[J].Journal of Vibration and Shock,2015,34(9):55-59.
[8]邸忆,顾晓辉,龙飞.一种基于声阵列信息融合及改进EEMD的信号降噪方法[J].振动与冲击,2017,36(5):133-140.DI Yi,GU Xiaohui,LONG Fei.A signal de-noising method for multi-microphone array based on information fusion and improved EEMD[J].Journal of Vibration and Shock,2017,36(5):133-140.
[9]吴小涛,杨锰,袁晓辉,等.基于峭度准则EEMD及改进形态滤波方法的轴承故障诊断[J].振动与冲击,2015,34(2):38-44.WU Xiaotao,YANG Meng,YUAN Xiaohui,et al.Bearing fault diagnosis using EEMD and improved morphological filtering method based on kurtosis criterion[J].Journal of Vibration and Shock,2015,34(2):38-44.
[10]钱玉良,张浩,彭道刚,等.基于EMD调制和粒子群模型的发电机组轴心轨迹提纯[J].信息与控制,2013,42(2):243-251.QIAN Yuliang,ZHANG Hao,PENG Daogang,et al.Purifying the orbit of generator unit based on EMD modulation and a particle swarm model[J].Information and Control,2013,42(2):243-251.
[11]陈仁祥,汤宝平,吕中亮.EEMD滤波的转子轴心轨迹提纯方法[J].重庆大学学报,2012,35(11):15-20.CHEN Renxiang,TANG Baoping,LZhongliang.A method of rotor orbit purification based on ensemble empirical mode decomposition filter[J].Journal of Chongqing University,2012,35(11):15-20.
[12]YANG Wenxian,RICHARD C,TAVNER P J,et al.Bivariate empirical mode decomposition and its contribution to wind turbine condition monitoring[J].Journal of Sound and Vibration 2011,330(15):3766-3782.
[13]RILLING G,FLANDRIN P,GONCALVES P,et al.Bivariate empirical mode decomposition[J].IEEE Signal Processing Letters,2011,14(12):936-939.
[14]张维光,韩军,周翔.线结构光多分辨率测量系统数据拼接方法[J].仪器仪表学报,2013,34(7):1441-1447.ZHANG Weiguang,HAN Jun,ZHOU Xiang.Data registration method for multiresolution measurement system with line structured light[J].Chinese Journal of Scientific Instrument,2013,34(7):1441-1447.
[15]FLANDRIN P,RILLING G.Empirical mode decomposition as a filter bank[J].IEEE Signal Processing Letters,2003,11(2):112-114.
[16]黄传金,邬向伟,曹文思,等.基于LMD的全矢包络技术及其在TRT振动故障诊断中的应用[J].电力自动化设备,2015,35(2):168-174.HUANG Chuanjin,WU Xiangwei,CAO Wensi,et al.LMD-based full vector envelope technique and its application in TRT vibration fault diagnosis[J].Electric Power Automation Equipment,2015,35(2):168-174.
[17]韩捷,石来德.全矢谱技术及工程应用[M].北京:机械工业出版社,2008.
[18]屈梁生.机械故障的全息诊断原理[M].北京:科学出版社,2007.
[2]李伟,季磊磊,施卫东,等.混流泵起动过程转子轴心轨迹的试验研究[J].机械工程学报,2016,52(2):168-177.LI Wei,JI Leilei,SHI Weidong,et al.Experimental study on orbit of shaft centerline of mixed-flow pump during starting period[J].Journal of Mechanical Engineering,2016,52(2):168-177.
[3]张文斌,周晓军,杨先勇,等.基于谐波窗方法的转子轴心轨迹提纯[J].振动与冲击,2009,28(8):74-77.ZHANG Wenbin,ZHOU Xiaojun,YANG Xiaoyong,et al.Harmonic window method for purification of axis trace[J].Journal of Vibration and Shock,2009,28(8):74-77.
[4]张文斌,周晓军,沈路,等.基于形态小波的转子轴心轨迹提纯[J].浙江大学学报(工学版),2010,44(8):1449-1453.ZHANG Wenbin,ZHOU Xiaojun,SHEN LU,et al.Purification of rotor axis’s orbit based on morphological wavelet[J].Journal of Zhejiang University(Engineering Science),2010,44(8):1449-1453.
[5]黄传金,孟雅俊,雷文平,等.复局部均值分解全矢包络技术及其在转子故障特征提取中的应用[J].机械工程学报,2016,52(7):69-78.HUANG Chuanjin,MENG Yajun,LEI Wenping,et al.Full vector envelope technique based on complex local mean decomposition and its application in fault feature extraction for rotor system[J].Journal of Mechanical Engineering,2016,52(7):69-78.
[6]马宏伟,张大伟,曹现刚,等.基于EMD的振动信号去噪方法研究[J].振动与冲击,2016,35(22):38-40.MA Hongwei,ZHANG Dawei,CAO Xiangang,et al.Vibration signal de-noising method based on empirical mode decomposition[J].Journal of Vibration and Shock,2016,35(22):38-40.
[7]隋文涛,张丹,Wilson Wang.基于EMD和MKD的滚动轴承故障诊断方法[J].振动与冲击,2015,34(9):55-59.SUI Wentao,ZHANG Dan,Wilson Wang.Fault diagnosis of rolling element bearings based on EMD and MKD[J].Journal of Vibration and Shock,2015,34(9):55-59.
[8]邸忆,顾晓辉,龙飞.一种基于声阵列信息融合及改进EEMD的信号降噪方法[J].振动与冲击,2017,36(5):133-140.DI Yi,GU Xiaohui,LONG Fei.A signal de-noising method for multi-microphone array based on information fusion and improved EEMD[J].Journal of Vibration and Shock,2017,36(5):133-140.
[9]吴小涛,杨锰,袁晓辉,等.基于峭度准则EEMD及改进形态滤波方法的轴承故障诊断[J].振动与冲击,2015,34(2):38-44.WU Xiaotao,YANG Meng,YUAN Xiaohui,et al.Bearing fault diagnosis using EEMD and improved morphological filtering method based on kurtosis criterion[J].Journal of Vibration and Shock,2015,34(2):38-44.
[10]钱玉良,张浩,彭道刚,等.基于EMD调制和粒子群模型的发电机组轴心轨迹提纯[J].信息与控制,2013,42(2):243-251.QIAN Yuliang,ZHANG Hao,PENG Daogang,et al.Purifying the orbit of generator unit based on EMD modulation and a particle swarm model[J].Information and Control,2013,42(2):243-251.
[11]陈仁祥,汤宝平,吕中亮.EEMD滤波的转子轴心轨迹提纯方法[J].重庆大学学报,2012,35(11):15-20.CHEN Renxiang,TANG Baoping,LZhongliang.A method of rotor orbit purification based on ensemble empirical mode decomposition filter[J].Journal of Chongqing University,2012,35(11):15-20.
[12]YANG Wenxian,RICHARD C,TAVNER P J,et al.Bivariate empirical mode decomposition and its contribution to wind turbine condition monitoring[J].Journal of Sound and Vibration 2011,330(15):3766-3782.
[13]RILLING G,FLANDRIN P,GONCALVES P,et al.Bivariate empirical mode decomposition[J].IEEE Signal Processing Letters,2011,14(12):936-939.
[14]张维光,韩军,周翔.线结构光多分辨率测量系统数据拼接方法[J].仪器仪表学报,2013,34(7):1441-1447.ZHANG Weiguang,HAN Jun,ZHOU Xiang.Data registration method for multiresolution measurement system with line structured light[J].Chinese Journal of Scientific Instrument,2013,34(7):1441-1447.
[15]FLANDRIN P,RILLING G.Empirical mode decomposition as a filter bank[J].IEEE Signal Processing Letters,2003,11(2):112-114.
[16]黄传金,邬向伟,曹文思,等.基于LMD的全矢包络技术及其在TRT振动故障诊断中的应用[J].电力自动化设备,2015,35(2):168-174.HUANG Chuanjin,WU Xiangwei,CAO Wensi,et al.LMD-based full vector envelope technique and its application in TRT vibration fault diagnosis[J].Electric Power Automation Equipment,2015,35(2):168-174.
[17]韩捷,石来德.全矢谱技术及工程应用[M].北京:机械工业出版社,2008.
[18]屈梁生.机械故障的全息诊断原理[M].北京:科学出版社,2007.