A time domain approach to diagnose gearbox fault based on measured vibration signals

Abstract Spectral analysis techniques to process vibration measurements have been widely studied to characterize the state of gearboxes. However, in practice, the modulated sidebands resulting from the local gear fault are often difficult to extract accurately from an ambiguous/blurred measured vibration spectrum due to the limited frequency resolution and small fluctuations in the operating speed of the machine that often occurs in an industrial environment. To address this issue, a new time-domain diagnostic algorithm is developed and presented herein for monitoring of gear faults, which shows an improved fault extraction capability from such measured vibration signals. This new time-domain fault detection method combines the fast dynamic time warping (Fast DTW) as well as the correlated kurtosis (CK) techniques to characterize the local gear fault, and identify the corresponding faulty gear and its position. Fast DTW is employed to extract the periodic impulse excitations caused from the faulty gear tooth using an estimated reference signal that has the same frequency as the nominal gear mesh harmonic and is built using vibration characteristics of the gearbox operation under presumed healthy conditions. This technique is beneficial in practical analysis to highlight sideband patterns in situations where data is often contaminated by process/measurement noises and small fluctuations in operating speeds that occur even at otherwise presumed steady-state conditions. The extracted signal is then resampled for subsequent diagnostic analysis using CK technique. CK takes advantages of the periodicity of the geared faults; it is used to identify the position of the local gear fault in the gearbox. Based on simulated gear vibration signals, the Fast DTW and CK based approach is shown to be useful for condition monitoring in both fixed axis as well as epicyclic gearboxes. Finally the effectiveness of the proposed method in fault detection of gears is validated using experimental signals from a planetary gearbox test rig. For fault detection in planetary gear-sets, a window function is introduced to account for the planet motion with respect to the fixed sensor, which is experimentally determined and is later employed for the estimation of reference signal used in Fast DTW algorithm.

[1]  Mohit Singh,et al.  Gearbox and Drivetrain Models to Study Dynamic Effects of Modern Wind Turbines , 2013, IEEE Transactions on Industry Applications.

[2]  Ming Yang,et al.  A wavelet approach to fault diagnosis of a gearbox under varying load conditions , 2010 .

[3]  Chuan Li,et al.  Time-frequency signal analysis for gearbox fault diagnosis using a generalized synchrosqueezing transform , 2012 .

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

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

[6]  Liu Hong,et al.  A time-domain fault detection method based on an electrical machine stator current measurement for planetary gear-sets , 2013, 2013 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.

[7]  Philippe Velex,et al.  An integrated electro-mechanical model of motor-gear units-Applications to tooth fault detection by electric measurements , 2012 .

[8]  M. Farid Golnaraghi,et al.  Assessment of Gear Damage Monitoring Techniques Using Vibration Measurements , 2001 .

[9]  Philip Chan,et al.  Toward accurate dynamic time warping in linear time and space , 2007, Intell. Data Anal..

[10]  Fakher Chaari,et al.  Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission , 2008 .

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

[12]  José R. Perán,et al.  Angular resampling for vibration analysis in wind turbines under non-linear speed fluctuation , 2011 .

[13]  Wenyi Wang,et al.  EARLY DETECTION OF GEAR TOOTH CRACKING USING THE RESONANCE DEMODULATION TECHNIQUE , 2001 .

[14]  Walter Bartelmus Gearbox damage process , 2011 .

[15]  Darryll J. Pines,et al.  Vibration separation methodology for planetary gear health monitoring , 2000, Smart Structures.

[16]  P. D. McFadden,et al.  Detecting Fatigue Cracks in Gears by Amplitude and Phase Demodulation of the Meshing Vibration , 1986 .

[17]  Qing Zhao,et al.  Maximum correlated Kurtosis deconvolution and application on gear tooth chip fault detection , 2012 .

[18]  Darryll J. Pines,et al.  Sun Gear Fault Detection on an OH-58C Helicopter Transmission , 2011 .

[19]  Stan Salvador,et al.  FastDTW: Toward Accurate Dynamic Time Warping in Linear Time and Space , 2004 .

[20]  Simon Braun,et al.  The synchronous (time domain) average revisited , 2011 .

[21]  Ahmet Kahraman,et al.  Load sharing characteristics of planetary transmissions , 1994 .

[22]  Liu Hong,et al.  An explanation of frequency features enabling detection of faults in equally spaced planetary gearbox , 2014 .

[23]  Reza Langari,et al.  Gearbox Degradation Identification Using Pattern Recognition Techniques , 2006, 2006 IEEE International Conference on Fuzzy Systems.

[24]  Ahmet Kahraman,et al.  A theoretical and experimental investigation of modulation sidebands of planetary gear sets , 2009 .

[25]  Robert G. Parker,et al.  Analytical Characterization of the Unique Properties of Planetary Gear Free Vibration , 1999 .

[26]  Mohit Singh,et al.  Modeling and Control to Mitigate Resonant Load in Variable-Speed Wind Turbine Drivetrain , 2013, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[27]  James R. Ottewill,et al.  Condition monitoring of gearboxes using synchronously averaged electric motor signals , 2013 .

[28]  Fengshou Gu,et al.  Fault diagnosis of motor drives using stator current signal analysis based on dynamic time warping , 2013 .

[29]  Ming J. Zuo,et al.  Vibration signal models for fault diagnosis of planetary gearboxes , 2012 .