Condition monitoring of helical gearboxes based on the advanced analysis of vibration signals

Condition monitoring of rotating machinery and machine systems has attracted extensive researches, particularly the detection and diagnosis of machine faults in their early stages to minimise maintenance cost and avoid catastrophic breakdowns and human injuries. As an efficient mechanical system, helical gearbox has been widely used in rotating machinery such as wind turbines, helicopters, compressors and internal combustion engines and hence its vibration condition monitoring is attracting substantial research attention worldwide. However, the vibration signals from a gearbox are usually contaminated by background noise and influenced by operating conditions. It is usually difficult to obtain symptoms of faults at the early stage of a fault. This study focus on developing effective approaches to the detection of early stage faults in an industrial helical gearbox. In particular, continuous wavelet transformation (CWT) has been investigated in order to select an optimal wavelet to effectively represent the vibration signals for both noise reduction and fault signature extraction. To achieve this aim, time synchronous average (TSA) is used as a tool for preliminary noise reduction and mathematical models of a gearbox transmission system is developed for characterising fault signatures. The performance of three different wavelet families was compared and henceforth a criterion and method for the selection of the most discerning has been established. It has been found that the wavelet that gives the highest RMS value for the baseline vibration signal will show the greatest difference between baseline and gearbox vibration with a fault presence. Comparison of the three wavelets families shows that the Daubechies order 1 can give best performance for feature extraction and fault detection and fault quantification. However, there are limitations that undermine CWT application to fault detection, in particular the difficulty in selecting a suitable wavelet function. A major contribution of this research programme is to demonstrate a possible route on how to overcome this deficiency. An adaptive Morlet wavelet transform method has been proposed based on information entropy optimization for analysing the vibration signal and detecting and quantifying the faults seeded into the helical gearbox. This research has also developed a nonlinear dynamic model of the two-stage helical gearbox involving time–varying mesh stiffness and transmission error. Based on experimental data collected with different operating loads and the simulating results vibration signatures for gear faults are fully understood and hence confirms the CWT based scheme for signal enhancement. These results also indicate that the dynamic model can be used in studying gear faults and would be useful in developing gear fault monitoring techniques.

[1]  H. Zheng,et al.  GEAR FAULT DIAGNOSIS BASED ON CONTINUOUS WAVELET TRANSFORM , 2002 .

[2]  Mark Serridge Ten Crucial Concepts Behind Trustworthy Fault Detection in Machine Condition Monitoring , 1990 .

[3]  Naim Baydar,et al.  A comparative study of acoustic and vibration signals in detection of gear failures using Wigner-Ville distribution. , 2001 .

[4]  Prashant Parikh A Theory of Communication , 2010 .

[5]  David Mba,et al.  Limitation of Acoustic Emission for Identifying Seeded Defects in Gearboxes , 2005 .

[6]  P. D. McFadden,et al.  Time-frequency domain analysis of vibration signals for machinery diagnostics (II) The weighted Wigner-Ville distribution , 1991 .

[7]  H. Pasman Loss prevention in the process industries , 2002 .

[8]  F. Combet,et al.  Optimal filtering of gear signals for early damage detection based on the spectral kurtosis , 2009 .

[9]  Mohamed Benbouzid,et al.  Induction motors' faults detection and localization using stator current advanced signal processing techniques , 1999 .

[10]  P. McFadden Interpolation techniques for time domain averaging of gear vibration , 1989 .

[11]  W. J. Staszewski,et al.  Application of the Wavelet Transform to Fault Detection in a Spur Gear , 1994 .

[12]  D. Gabor,et al.  Theory of communication. Part 1: The analysis of information , 1946 .

[13]  Robert G. Parker,et al.  NON-LINEAR DYNAMIC RESPONSE OF A SPUR GEAR PAIR: MODELLING AND EXPERIMENTAL COMPARISONS , 2000 .

[14]  L. Cohen Generalized Phase-Space Distribution Functions , 1966 .

[15]  Ian Howard,et al.  Comparison of localised spalling and crack damage from dynamic modelling of spur gear vibrations , 2006 .

[16]  J. Dormand,et al.  A family of embedded Runge-Kutta formulae , 1980 .

[17]  P. S. Heyns,et al.  USING VIBRATION MONITORING FOR LOCAL FAULT DETECTION ON GEARS OPERATING UNDER FLUCTUATING LOAD CONDITIONS , 2002 .

[18]  Ian Howard,et al.  THE DYNAMIC MODELLING OF A SPUR GEAR IN MESH INCLUDING FRICTION AND A CRACK , 2001 .

[19]  Tzong-Shi Liu,et al.  Dynamic analysis of a spur gear by the dynamic stiffness method , 2000 .

[20]  Amiya R Mohanty,et al.  Monitoring gear vibrations through motor current signature analysis and wavelet transform , 2006 .

[21]  Eric Bechhoefer,et al.  A Review of Time Synchronous Average Algorithms , 2009 .

[22]  P. D. McFadden,et al.  APPLICATION OF WAVELETS TO GEARBOX VIBRATION SIGNALS FOR FAULT DETECTION , 1996 .

[23]  Jun Ni,et al.  Non-stationary signal analysis and transient machining process condition monitoring , 2002 .

[24]  Ruqiang Yan,et al.  Base wavelet selection criteria for non-stationary vibration analysis in bearing health diagnosis , 2007 .

[25]  Fengshou Gu,et al.  A Basis for the Vibration Monitoring of Diesel Fuel Injectors , 1995 .

[26]  Rajendra Singh,et al.  MULTI-BODY DYNAMICS AND MODAL ANALYSIS OF COMPLIANT GEAR BODIES , 1998 .

[27]  Marco Amabili,et al.  DYNAMIC ANALYSIS OF SPUR GEAR PAIRS: STEADY-STATE RESPONSE AND STABILITY OF THE SDOF MODEL WITH TIME-VARYING MESHING DAMPING , 1997 .

[28]  Mayorkinos Papaelias,et al.  Condition monitoring of wind turbines: Techniques and methods , 2012 .

[29]  Yaoyu Li,et al.  A review of recent advances in wind turbine condition monitoring and fault diagnosis , 2009, 2009 IEEE Power Electronics and Machines in Wind Applications.

[30]  Fakher Chaari,et al.  Numerical and experimental analysis of a gear system with teeth defects , 2005 .

[31]  Liu Hongxing,et al.  AN IMPROVED ALGORITHM FOR DIRECT TIME-DOMAIN AVERAGING , 2000 .

[32]  Anders Flodin,et al.  Wear of spur and helical gears , 2000 .

[33]  Allianz Versicherungs-Aktiengesellschaft Handbook of loss prevention , 1978 .

[34]  B. Lewis,et al.  Audio acoustic plant condition monitoring of spiral bevel gearbox , 2001 .

[35]  H. Behbahanifard,et al.  Non-invasive on-line detection of winding faults in induction motors—A review , 2008, 2008 International Conference on Condition Monitoring and Diagnosis.

[36]  Yan Li,et al.  Wind Turbine Gearbox Fault Diagnosis Using Adaptive Morlet Wavelet Spectrum , 2009, 2009 Second International Conference on Intelligent Computation Technology and Automation.

[37]  Naim Baydar,et al.  DETECTION OF GEAR FAILURES VIA VIBRATION AND ACOUSTIC SIGNALS USING WAVELET TRANSFORM , 2003 .

[38]  Shaobo Han,et al.  Time domain averaging based on fractional delay filter , 2009 .

[39]  Andrew Ball,et al.  Multi-stages helical gearbox fault detection using vibration signal and Morlet wavelet transform adapted by information entropy difference , 2013 .

[40]  Cheng-Kuo Sung,et al.  Locating defects of a gear system by the technique of wavelet transform , 2000 .

[41]  David,et al.  Observations of acoustic emission activity during gear defect diagnosis , 2003 .

[42]  Hua-Shu Dou,et al.  Vibration-Based Condition Monitoring , 2013 .

[43]  P. Velex,et al.  A MATHEMATICAL MODEL FOR ANALYZING THE INFLUENCE OF SHAPE DEVIATIONS AND MOUNTING ERRORS ON GEAR DYNAMIC BEHAVIOUR , 1996 .

[44]  Giorgio Dalpiaz,et al.  Effectiveness and Sensitivity of Vibration Processing Techniques for Local Fault Detection in Gears , 2000 .

[45]  Barbara Hubbard,et al.  The World According to Wavelets , 1996 .

[46]  J. Williams,et al.  Wear debris and associated wear phenomena—fundamental research and practice , 2000 .

[47]  Keith Worden,et al.  TIME–FREQUENCY ANALYSIS IN GEARBOX FAULT DETECTION USING THE WIGNER–VILLE DISTRIBUTION AND PATTERN RECOGNITION , 1997 .

[48]  Umberto Meneghetti,et al.  Application of the envelope and wavelet transform analyses for the diagnosis of incipient faults in ball bearings , 2001 .

[49]  L. Cohen,et al.  Time-frequency distributions-a review , 1989, Proc. IEEE.

[50]  M. Elforjani,et al.  Accelerated natural fault diagnosis in slow speed bearings with Acoustic Emission , 2010 .

[51]  Walter Bartelmus Gearbox damage process , 2011 .

[52]  I. Daubechies,et al.  Wavelet Transforms That Map Integers to Integers , 1998 .

[53]  S. Theodossiades,et al.  NON-LINEAR DYNAMICS OF GEAR-PAIR SYSTEMS WITH PERIODIC STIFFNESS AND BACKLASH , 2000 .

[54]  Yi Qin,et al.  Feature extraction method of wind turbine based on adaptive Morlet wavelet and SVD , 2011 .

[55]  Geok Soon Hong,et al.  Wavelet analysis of sensor signals for tool condition monitoring: A review and some new results , 2009 .

[56]  W. J. Wang,et al.  Application of orthogonal wavelets to early gear damage detection , 1995 .

[57]  Babak Eftekharnejad,et al.  Seeded fault detection on helical gears with acoustic emission , 2009 .

[58]  Robert E. Uhrig,et al.  Monitoring and diagnosis of rolling element bearings using artificial neural networks , 1993, IEEE Trans. Ind. Electron..

[59]  Alan M. Davies,et al.  Handbook of condition monitoring : techniques and methodology , 1998 .

[60]  P. D. McFadden,et al.  A Signal Processing Technique for Detecting Local Defects in a Gear from the Signal Average of the Vibration , 1985 .

[61]  Radoslaw Zimroz,et al.  A new feature for monitoring the condition of gearboxes in non-stationary operating conditions , 2009 .

[62]  Olivier Rioul,et al.  Fast algorithms for discrete and continuous wavelet transforms , 1992, IEEE Trans. Inf. Theory.

[63]  Chen Peng,et al.  Gearbox fault diagnosis using adaptive redundant Lifting Scheme , 2006 .

[64]  Radoslaw Zimroz,et al.  Vibration condition monitoring of planetary gearbox under varying external load , 2009 .

[65]  Walter Bartelmus,et al.  MATHEMATICAL MODELLING AND COMPUTER SIMULATIONS AS AN AID TO GEARBOX DIAGNOSTICS , 2001 .

[66]  Tomasz Barszcz,et al.  Measurement of instantaneous shaft speed by advanced vibration signal processing - Application to wind turbine gearbox , 2010 .

[67]  Robert B. Randall,et al.  A New Method of Modeling Gear Faults , 1982 .

[68]  David,et al.  Application of acoustic emission to seeded gear fault detection , 2005 .

[69]  Gary D. Bernard,et al.  Applications of time-frequency analysis to signals from manufacturing and machine monitoring sensors , 1996, Proc. IEEE.

[70]  S. Al-Dossary,et al.  Observations of changes in acoustic emission waveform for varying seeded defect sizes in a rolling element bearing , 2009 .

[71]  Robert B. Randall,et al.  State of the art in monitoring rotating machinery. Part 2 , 2004 .

[72]  B. Samanta,et al.  Gear fault diagnosis using energy-based features of acoustic emission signals , 2002 .

[73]  J. Bendat,et al.  Random Data: Analysis and Measurement Procedures , 1971 .

[74]  P. W. Stevens,et al.  A Multidisciplinary Research Approach to Rotorcraft Health and Usage Monitoring , 1996 .

[75]  Dennis P. Townsend,et al.  An Analysis of Gear Fault Detection Methods as Applied to Pitting Fatigue Failure Data , 1993 .

[76]  K. Loparo,et al.  Bearing fault diagnosis based on wavelet transform and fuzzy inference , 2004 .

[77]  S. Qian,et al.  Joint time-frequency analysis , 1999, IEEE Signal Process. Mag..

[78]  Daming Lin,et al.  A review on machinery diagnostics and prognostics implementing condition-based maintenance , 2006 .

[79]  Ming J. Zuo,et al.  GEARBOX FAULT DIAGNOSIS USING ADAPTIVE WAVELET FILTER , 2003 .

[80]  P. D. McFadden,et al.  Decomposition of gear motion signals and its application to gearbox diagnostics , 1995 .

[81]  Jong-Duk Son,et al.  Decision-level fusion based on wavelet decomposition for induction motor fault diagnosis using transient current signal , 2008, Expert Syst. Appl..

[82]  Anand Parey,et al.  Spur gear tooth root crack detection using time synchronous averaging under fluctuating speed , 2014 .

[83]  Naim Baydar,et al.  Detection of Gear Deterioration Under Varying Load Conditions by Using the Instantaneous Power Spectrum , 2000 .

[84]  P. D. McFadden,et al.  Early Detection of Gear Failure by Vibration Analysis--I. Calculation of the Time Frequency Distribution , 1993 .

[85]  Patrick S. K. Chua,et al.  Adaptive wavelet transform for vibration signal modelling and application in fault diagnosis of water hydraulic motor , 2006 .

[86]  S Du,et al.  Modelling of spur gear mesh stiffness and static transmission error , 1998 .

[87]  Pawel Podsiadlo,et al.  Automated classification of wear particles based on their surface texture and shape features , 2008 .

[88]  Joon-Hyun Lee,et al.  Development of Enhanced WIGNER-VILLE Distribution Function , 2001 .

[89]  Leonid M. Gelman,et al.  An automated methodology for performing time synchronous averaging of a gearbox signal without speed sensor , 2007 .

[90]  Raja Ishak Raja Hamzah,et al.  The influence of operating condition on acoustic emission (AE) generation during meshing of helical and spur gear , 2009 .

[91]  Viliam Makis,et al.  Adaptive state detection of gearboxes under varying load conditions based on parametric modelling , 2006 .

[92]  A. Braun,et al.  The Extraction of Periodic Waveforms by Time Domain Averaging , 1975 .

[93]  P. S. Heyns,et al.  Instantaneous angular speed monitoring of gearboxes under non-cyclic stationary load conditions , 2005 .

[94]  Fabrice Bolaers,et al.  Early Detection of Gear Failure by Vibration Analysis , 2014 .

[95]  Wiesław J Staszewski,et al.  Time–frequency and time–scale analyses for structural health monitoring , 2007, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[96]  Stephan Ebersbach,et al.  The investigation of the condition and faults of a spur gearbox using vibration and wear debris analysis techniques , 2006 .

[97]  Fulei Chu,et al.  Application of the wavelet transform in machine condition monitoring and fault diagnostics: a review with bibliography , 2004 .

[98]  Wenyi Liu,et al.  Wind turbine fault diagnosis based on Morlet wavelet transformation and Wigner-Ville distribution , 2010 .

[99]  Abdollah A. Afjeh,et al.  Investigation of spur gear fatigue damage using wear debris , 2002 .

[100]  Fakher Chaari,et al.  Modelling of gearbox dynamics under time-varying nonstationary load for distributed fault detection and diagnosis , 2010 .

[101]  M. Elforjani,et al.  Detecting natural crack initiation and growth in slow speed shafts with the Acoustic Emission technology , 2009 .

[102]  Fengshou Gu,et al.  Two Stage Helical Gearbox Fault Detection and Diagnosis based on Continuous Wavelet Transformation of Time Synchronous Averaged Vibration Signals , 2012 .

[103]  Fakher Chaari,et al.  Study of a spur gear dynamic behavior in transient regime , 2011 .

[104]  Jien-Chen Chen,et al.  Continuous wavelet transform technique for fault signal diagnosis of internal combustion engines , 2006 .

[105]  P. D. McFadden,et al.  Early detection of gear failure by vibration analysis--ii. interpretation of the time-frequency distribution using image processing techniques , 1993 .