Simulation of spur gear dynamics and estimation of fault growth

In this paper, the effects of tooth crack on the vibration response of a one-stage gearbox with spur gears are studied. The growth in a tooth crack is reflected in the total mesh stiffness of the gear system. A lumped parameter model is used to simulate the vibration response of the pair of meshing gears. Several statistical indicators reported in the literature are used to reflect the change in the vibration response caused by the tooth crack. The performance of these indicators are compared. Their pros and cons are outlined.

[1]  V. Bhujanga Rao.  Kurtosis as a metric in the assessment of gear damage , 1999 .

[2]  P. Velex,et al.  Dynamic tooth loads and quasi-static transmission errors in helical gears – Approximate dynamic factor formulae , 2007 .

[3]  H. R. Martin,et al.  New Statistical Moments for Diagnostics of Rolling Element Bearings , 1997 .

[4]  B. David Forrester,et al.  Advanced vibration analysis techniques for fault detection and diagnosis in geared transmission systems , 1996 .

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

[6]  D. C. H. Yang,et al.  Hertzian damping, tooth friction and bending elasticity in gear impact dynamics , 1987 .

[7]  J. Dron,et al.  Improvement of the sensitivity of the scalar indicators (crest factor, kurtosis) using a de-noising method by spectral subtraction: application to the detection of defects in ball bearings , 2004 .

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

[9]  David G. Lewicki,et al.  Gear Crack Propagation Path Studies: Guidelines for Ultra-Safe Design , 2001 .

[10]  Ming J. Zuo,et al.  Analysis of the Vibration Response of a Gearbox With Gear Tooth Faults , 2004 .

[11]  S. Loutridis.  Instantaneous energy density as a feature for gear fault detection , 2006 .

[12]  Donald R. Houser,et al.  Analytical Predictions for the Transmission Error Excitation in Various Multiple-Mesh Gear-Trains , 2003 .

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

[14]  Srečko Glodež,et al.  Computational model for the analysis of bending fatigue in gears , 2002 .

[15]  Sandeep M. Vijayakar,et al.  A study of the relationship between the dynamic factors and the dynamic transmission error of spur gear pairs , 2007 .

[16]  Andrew Ball,et al.  Gear tooth stiffness reduction measurement using modal analysis and its use in wear fault severity assessment of spur gears , 2003 .

[17]  Han Ding,et al.  An alternative time-domain index for condition monitoring of rolling element bearings - A comparison study , 2007, Reliab. Eng. Syst. Saf..

[18]  Peter W. Tse,et al.  Classification of gear faults using cumulants and the radial basis function network , 2004 .

[19]  J. W. Evans,et al.  An Extended Model for Determining Dynamic Loads in Spur Gearing , 1981 .

[20]  Daming Lin,et al.  An approach to signal processing and condition-based maintenance for gearboxes subject to tooth failure , 2004 .

[21]  Anette Andersson,et al.  A method to determine dynamic loads on spur gear teeth and on bearings , 2003 .

[22]  Rajendra Singh,et al.  Effect of sliding friction on the dynamics of spur gear pair with realistic time-varying stiffness , 2007 .

[23]  Nguyen Phong Dien,et al.  Fault diagnosis in gears operating under non-stationary rotational speed using polar wavelet amplitude maps , 2004 .