Failure path based modified gear mesh stiffness for spur gear pair with tooth root crack

Abstract The variation in gear mesh stiffness reflects the severity of tooth damage. In this paper, a 2-D finite element method with principle of linear elastic fracture mechanics is adopted to carry out crack propagation path studies for gear pair with different contact ratio. The work is driven by the need to improve the accuracy of computing the gear mesh stiffness which plays a major role in gear fault diagnosis. A refined total potential energy model, as reported in literature is adopted and extended to compute the total time varying mesh stiffness with increasing level of deterioration and different contact ratio. A comparative study has been carried out to reflect the change in the total effective gear mesh stiffness caused by assumed straight line vs. proposed curved crack path approximation for varying crack levels. The computational method proposed here can predict the change of gear mesh stiffness for different crack propagation paths to provide some guidance for gear damage detection.

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

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

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

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

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

[6]  Yimin Shao,et al.  Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth , 2011 .

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

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

[9]  Fakher Chaari,et al.  Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness , 2009 .

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

[11]  Ming Jian Zuo,et al.  Crack propagation assessment for spur gears using model-based analysis and simulation , 2012, J. Intell. Manuf..

[12]  Ming J. Zuo,et al.  Simulation of spur gear dynamics and estimation of fault growth , 2008 .

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

[14]  Robert B. Randall,et al.  Differential diagnosis of spall vs. cracks in the gear tooth fillet region: Experimental validation , 2009 .

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

[16]  D. C. H. Yang,et al.  A Rotary Model for Spur Gear Dynamics , 1985 .