第8期 米凯夫等：基于小波和小波分形的冷连轧机振动识别方法 ·1071· 互验证，说明两种方法都可以用于识别当下轧机的 analysis in earthquake signal de-noise.Min Metall,2003 振纹振动，这为在复杂振动环境下识别振纹振动提 12(1):89 供了有效途径，为建立在线识别诊断系统提供了理 (张根昌，吴并臻，刘跃峰.小波分析技术在地震信号噪声 论保证. 处理中的应用.矿治，2003,12(1少：89) [7]Zhang Q H,Wang T Y,Xu Y S.Application of wavelet analysis in noise signal of compressor.Manuf Inf Eng 参考文献 China,2003,32(2):114 (张庆华，王太勇，徐燕申.小波分析在压缩机噪声信号去 [1]Zhong J,Yan H Z,Duan J A,et al.Industrial experi- 除趋势项处理中的应用.中国制造业信息化，2003,32(2)： ments and findings on chatter marks of steel strip.Chin 114) J Nonferrous Met,2000.10(2):291 [8]Coifman RR,Meyer Y,Quake S,et al.Signal processing (钟掘，严珩志，段吉安，等.带钢表面振纹的工业试验与发 and compression with wavelet packets.Wavelets Their 现.中因有色金属学报，2000,10(2)：291) Appl,1994,442:363 [2]Hou F X,Zhang J,Shi X L,et al.Horizon chatter in a single-roll driving temper rolling mill system.J Univ Sci [9]Jiang J D,Chen J,Qu L S.The application of correlation dimension in gearbox condition monitoring.J Sound Vib, Technol Beijing,2006,28(10):973 1999,223(4):529 (侯福祥，张杰，史小路，等.单辊驱动平整机水平领振.北 京科技大学学报，2006,28(10)：973) [10 Zhang Z H,Hang W Y.Fractal determination and feature [3]Keller N L,Lesonick M S.Vibration analysis of stand F2 extraction from vibration waveforms.J Southeast Univ. of Wheeling-Pittsburgh's 80-in hot strip mill.Iron Steel 1999,29(4:26 Emg,1990,67(5):17 (张朝晖，黄惟一.振动波形的分形判别及特征提取.东南 [4]Hou F X,Zhang J,Shi X L,et al.Measurement of chatter 大学学报，1999,29(4)：26) marks on the backup roll of a cold temper mill.J Univ [11]Luo J,He L M,Chen C.Wavelet fractal technology and Sci Technol Beijing,2007,29(6):613 its application to aeroengine fault diagnoisis.J Projectiles (侯福祥，张杰，史小路，等.冷轧平整机振纹实测研究.北 Rockets Missiles Guid,2006,26(1):862 京科技大学学报，2007,29(6：613) (罗俊，何立明，陈超。小波分形理论及其在航空发动机故 (5]Gao L X,Xing J,Lei X.Gearbox fault diagnosis based 章诊断中的应用.弹箭与制导学报，2006,26(1)：862) wavelet analysis.J Univ Sci Technol Beijing,2003,25(3): [12]Fei B,Jiang Z D,Wang H R.Genetic algorithm for deter- 267 mining scale independent fractals associated with grinding (高立新，邢钧，雷迅.基于小波分析的齿轮箱故障诊断.北 surface.J Xi'an Jiaotong Univ,1998,32(7):72 京科技大学学报，2003,25(3)：267) (费斌，蒋庄德，王海容.基于遗传算法求解分形无标度区 [6]Zhang G C,Wu B Z,Liu Y F.Application of wavelet 的方法.西安交通大学学报，1998,32(7)：72)第 8 期 米凯夫等：基于小波和小波分形的冷连轧机振动识别方法 1071 ·· 互验证，说明两种方法都可以用于识别当下轧机的 振纹振动，这为在复杂振动环境下识别振纹振动提 供了有效途径，为建立在线识别诊断系统提供了理 论保证. 参 考 文 献 [1] Zhong J, Yan H Z, Duan J A, et al. Industrial experi￾ments and findings on chatter marks of steel strip. Chin J Nonferrous Met, 2000, 10(2): 291 (钟掘, 严珩志, 段吉安, 等. 带钢表面振纹的工业试验与发 现. 中国有色金属学报, 2000, 10(2): 291) [2] Hou F X, Zhang J, Shi X L, et al. Horizon chatter in a single-roll driving temper rolling mill system. J Univ Sci Technol Beijing, 2006, 28(10): 973 (侯福祥, 张杰, 史小路, 等. 单辊驱动平整机水平颤振. 北 京科技大学学报, 2006, 28(10): 973) [3] Keller N L, Lesonick M S. Vibration analysis of stand F2 of Wheeling-Pittsburgh’s 80-in hot strip mill. Iron Steel Eng, 1990, 67(5):17 [4] Hou F X, Zhang J, Shi X L, et al. Measurement of chatter marks on the backup roll of a cold temper mill. J Univ Sci Technol Beijing, 2007, 29(6): 613 (侯福祥, 张杰, 史小路, 等. 冷轧平整机振纹实测研究. 北 京科技大学学报, 2007, 29(6): 613) [5] Gao L X, Xing J, Lei X. Gearbox fault diagnosis based wavelet analysis. J Univ Sci Technol Beijing, 2003, 25(3): 267 (高立新, 邢钧, 雷迅. 基于小波分析的齿轮箱故障诊断. 北 京科技大学学报, 2003, 25(3): 267) [6] Zhang G C, Wu B Z, Liu Y F. Application of wavelet analysis in earthquake signal de-noise. Min Metall, 2003, 12(1): 89 (张根昌, 吴并臻, 刘跃峰. 小波分析技术在地震信号噪声 处理中的应用. 矿冶, 2003, 12(1): 89) [7] Zhang Q H, Wang T Y, Xu Y S. Application of wavelet analysis in noise signal of compressor. Manuf Inf Eng China, 2003, 32(2): 114 (张庆华, 王太勇, 徐燕申. 小波分析在压缩机噪声信号去 除趋势项处理中的应用. 中国制造业信息化, 2003, 32(2): 114) [8] Coifman R R, Meyer Y, Quake S, et al. Signal processing and compression with wavelet packets. Wavelets Their Appl, 1994, 442: 363 [9] Jiang J D, Chen J, Qu L S. The application of correlation dimension in gearbox condition monitoring. J Sound Vib, 1999, 223(4): 529 [10] Zhang Z H, Hang W Y. Fractal determination and feature extraction from vibration waveforms. J Southeast Univ, 1999, 29(4): 26 (张朝晖, 黄惟一. 振动波形的分形判别及特征提取. 东南 大学学报, 1999, 29(4): 26) [11] Luo J, He L M, Chen C. Wavelet fractal technology and its application to aeroengine fault diagnoisis. J Projectiles Rockets Missiles Guid, 2006, 26(1): 862 (罗俊, 何立明, 陈超. 小波分形理论及其在航空发动机故 障诊断中的应用. 弹箭与制导学报, 2006, 26(1): 862) [12] Fei B, Jiang Z D, Wang H R. Genetic algorithm for deter￾mining scale independent fractals associated with grinding surface. J Xi’an Jiaotong Univ, 1998, 32(7): 72 (费斌, 蒋庄德, 王海容. 基于遗传算法求解分形无标度区 的方法. 西安交通大学学报, 1998, 32(7): 72)