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For fault prognosis of rotating machinery under variable operation, a fault tracking method based on phase space warping and smooth orthogonal decomposition (SOD) is presented to describe the degradation process of rotating machinery. Firstly, phase space is reconstructed using vibration time-series, and a tracking function of damage evolution is built by quantifying phase space warping. To compensate for cumulative model error and the error caused by variation of local probability distribution of the reference phase space points, the original time-series is partitioned into several data segments and the phase space is partitioned into several subspaces correspondingly. Several feature vectors are concatenated into tracking matrix. Secondly, the different trends caused by actual damage degradation and operation variety in the tracking matrix are separated by smooth orthogonal decomposition. According to smooth orthogonal values, dominant smooth orthogonal coordinates which reflect actual fault degradation trends are extracted. Finally, fault degradation process of bearing out-race is simulated. Rotating speed is varied during the degradation process. Applying the presented method to the degradation process tracking, the tracking matrix is built and decomposed by SOD, and the results show that the proposed method can track the evolution trend of the rotating machinery fault without the influence of operation condition variety.
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Keywords:
- phase space warping /
- smooth orthogonal decomposition /
- variable operation /
- fault tracking
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[7] Sutrisno E, Oh H, Vasan A S S, Pecht M 2012 Prognostics and Health Management (PHM) 2012 IEEE Conference Denver, USA, June 18-21, 2012 p1
[8] Takens F 1981 Lecture Notes Math. 898 366
[9] Sauer T, Yorke J A, Casdagli M 1991 J. Statist. Phys. 65 579
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[11] Wang G L, Yang P C, Mao Y Q 2008 Acta Phys. Sin. 57 714 (in Chinese) [王革丽, 杨培才, 毛宇清 2008 物理学报 57 714]
[12] Zhang S Q, Jia J, Gao M, Han X 2010 Acta Phys. Sin. 59 1576 (in Chinese) [张淑清, 贾健, 高敏, 韩叙 2010 物理学报 59 1576]
[13] Liu J, Shi S T, Zhao J C 2013 Chin. Phys. B 22 010505
[14] Zhang Z J, Gu C S, Bao T F, Zhang L, Yu H 2010 Sci. China Tech. Sci. 53 1711
[15] He W P, Wang L, Wan S Q, Liao L J, He T 2012 Acta Phys. Sin. 61 119201 (in Chinese) [何文平, 王柳, 万仕全, 廖乐健, 何涛 2012 物理学报 61 119201]
[16] Wang J J, Yan H, Wei P 2010 Acta Phys. Sin. 59 7635 (in Chinese) [王姣姣, 闫华, 魏平 2010 物理学报 59 7635]
[17] Zhang C T, Ma Q L, Peng H 2010 Acta Phys. Sin. 59 7623 (in Chinese) [张春涛, 马千里, 彭宏 2010 物理学报 59 7623]
[18] Wang X Y, Han M, Wang Y N 2013 Acta Phys. Sin. 62 050504 (in Chinese) [王新迎, 韩敏, 王亚楠 2013 物理学报 62 050504]
[19] Trendafilova I 2003 Key Engineer. Mater. 245-246 547
[20] Nichols J M, Virgin L N, Todd M D, Nichols J D 2003 Mech. Syst. Signal Pr. 17 1305
[21] Chelidze D, Cusumano J P, Chatterjee A 2001 Proceedings of the SPIE-The International Society for Optical Engineering 4389 12
[22] Chelidze D, Liu M 2006 Nonlinear Dynam. 46 61
[23] Chelidze D, Liu M 2008 Phil. Trans. R. Soc. A 366 729
[24] Segala D, Chelidze D, Adams A, Schiman J, Piscitelle L, Hasselquist L 2008 Proceedings of the IDETC/CIE 2008 ASME International Mechanical Engineering Congress and Exposition Boston, USA, October 31-November 6, 2008 p1
[25] Chelidze D, Zhou W 2006 J. Sound Vib. 292 461
[26] Segala D, Gates D H, Dingwell J B, Chelidze D 2011 J. Biomech. Eng. 133 031009
[27] Fraser A M, Swinney H L 1986 Phys. Rev. A 33 1134
[28] Kennel M, Brown R, Abarbanel H 1992 Phys. Rev. A 45 3403
[29] Antoni J, Randall R B 2003 J. Vib. Acoust. 125 282
[30] Fan B, Hu N, Hu L, Gu F 2012 J. Phys.: Conf. Ser. 364 012025
[31] Maio F D, Tsui K L, Zio E 2012 Mech. Syst. Signal Pr. 31 405
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[1] Song J W, Mei X Z, Guo Y 2005 Bearing 12 28 (in Chinese) [宋京伟, 梅秀庄, 郭云 2005 轴承 12 28]
[2] Kang H Y, Luan J Y, Zheng H Q, Cui Q B 2007 Chin. J. Mech. Engineer. 43 119 (in Chinese) [康海英, 栾军英, 郑海起, 崔清斌 2007 机械工程学报 43 119]
[3] Liu J T, Du P A, Zhang Z Y 2012 Sci. China Tech. Sci. 55 673
[4] Xu G, Luo Z G, Li M Y, Chen P 2001 Chin. J. Mech. Engineer. 37 104 (in Chinese) [徐刚, 骆志高, 李明义, 陈鹏 2001 机械工程学报 37 104]
[5] Renaudin L, Bonnardot F, Musy O, Doray J B, Rémond D 2010 Mech. Syst. Signal Pr. 24 1998
[6] Shao Y, Nezu K 2000 P. I. Mech. Eng. I: J. Sys. 214 217
[7] Sutrisno E, Oh H, Vasan A S S, Pecht M 2012 Prognostics and Health Management (PHM) 2012 IEEE Conference Denver, USA, June 18-21, 2012 p1
[8] Takens F 1981 Lecture Notes Math. 898 366
[9] Sauer T, Yorke J A, Casdagli M 1991 J. Statist. Phys. 65 579
[10] Gan J C, Xiao X C 2003 Acta Phys. Sin. 52 1096 (in Chinese) [甘建超, 肖先赐 2003 物理学报 52 1096]
[11] Wang G L, Yang P C, Mao Y Q 2008 Acta Phys. Sin. 57 714 (in Chinese) [王革丽, 杨培才, 毛宇清 2008 物理学报 57 714]
[12] Zhang S Q, Jia J, Gao M, Han X 2010 Acta Phys. Sin. 59 1576 (in Chinese) [张淑清, 贾健, 高敏, 韩叙 2010 物理学报 59 1576]
[13] Liu J, Shi S T, Zhao J C 2013 Chin. Phys. B 22 010505
[14] Zhang Z J, Gu C S, Bao T F, Zhang L, Yu H 2010 Sci. China Tech. Sci. 53 1711
[15] He W P, Wang L, Wan S Q, Liao L J, He T 2012 Acta Phys. Sin. 61 119201 (in Chinese) [何文平, 王柳, 万仕全, 廖乐健, 何涛 2012 物理学报 61 119201]
[16] Wang J J, Yan H, Wei P 2010 Acta Phys. Sin. 59 7635 (in Chinese) [王姣姣, 闫华, 魏平 2010 物理学报 59 7635]
[17] Zhang C T, Ma Q L, Peng H 2010 Acta Phys. Sin. 59 7623 (in Chinese) [张春涛, 马千里, 彭宏 2010 物理学报 59 7623]
[18] Wang X Y, Han M, Wang Y N 2013 Acta Phys. Sin. 62 050504 (in Chinese) [王新迎, 韩敏, 王亚楠 2013 物理学报 62 050504]
[19] Trendafilova I 2003 Key Engineer. Mater. 245-246 547
[20] Nichols J M, Virgin L N, Todd M D, Nichols J D 2003 Mech. Syst. Signal Pr. 17 1305
[21] Chelidze D, Cusumano J P, Chatterjee A 2001 Proceedings of the SPIE-The International Society for Optical Engineering 4389 12
[22] Chelidze D, Liu M 2006 Nonlinear Dynam. 46 61
[23] Chelidze D, Liu M 2008 Phil. Trans. R. Soc. A 366 729
[24] Segala D, Chelidze D, Adams A, Schiman J, Piscitelle L, Hasselquist L 2008 Proceedings of the IDETC/CIE 2008 ASME International Mechanical Engineering Congress and Exposition Boston, USA, October 31-November 6, 2008 p1
[25] Chelidze D, Zhou W 2006 J. Sound Vib. 292 461
[26] Segala D, Gates D H, Dingwell J B, Chelidze D 2011 J. Biomech. Eng. 133 031009
[27] Fraser A M, Swinney H L 1986 Phys. Rev. A 33 1134
[28] Kennel M, Brown R, Abarbanel H 1992 Phys. Rev. A 45 3403
[29] Antoni J, Randall R B 2003 J. Vib. Acoust. 125 282
[30] Fan B, Hu N, Hu L, Gu F 2012 J. Phys.: Conf. Ser. 364 012025
[31] Maio F D, Tsui K L, Zio E 2012 Mech. Syst. Signal Pr. 31 405
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