Meshing and dynamic characteristics analysis of spalled gear systems: A theoretical and experimental study

Abstract Considering the realistic spalling morphology obtained from the fatigue experiment, a novel dynamic model for spalled gear pairs is established in this paper. Loaded tooth contact analysis method is utilized to evaluate the meshing characteristics of spalled gear pairs. In order to verify the proposed method, the mesh stiffness and contact stress obtained from the proposed method are compared with those obtained from the finite element method and the method in published literature. The mesh stiffness and the non-loaded static transmission error are imported into the geared rotor dynamic model to acquire the dynamic responses. The spectrum characteristics and statistical indicators under different spalling patterns are acquired by the proposed model. A comparison between simulation and experiment is performed to verify the proposed dynamic model. The results show that the simulated fault features agree well with that obtained from the experiment, which indicates that the proposed model is a promising tool for the fault mechanism study of gears with realistic spalling patterns.

[1]  Kun Yu,et al.  A Combined Polynomial Chirplet Transform and Synchroextracting Technique for Analyzing Nonstationary Signals of Rotating Machinery , 2020, IEEE Transactions on Instrumentation and Measurement.

[2]  Zude Zhou,et al.  Experimental study of dynamic strain for gear tooth using fiber Bragg gratings and piezoelectric strain sensors , 2018 .

[3]  Ming J. Zuo,et al.  The influence of tooth pitting on the mesh stiffness of a pair of external spur gears , 2016 .

[4]  Anand Parey,et al.  Modelling of acoustic emission generated due to pitting on spur gear , 2018 .

[5]  B. Wen,et al.  Calculation of mesh stiffness of spur gears considering complex foundation types and crack propagation paths , 2019, Mechanical Systems and Signal Processing.

[6]  Anand Parey,et al.  Time varying mesh stiffness calculation of spur gear pair considering sliding friction and spalling defects , 2016 .

[7]  S. J. Loutridis,et al.  Damage detection in gear systems using empirical mode decomposition , 2004 .

[8]  Ming J. Zuo,et al.  Dynamic modeling of gearbox faults: A review , 2018 .

[9]  Hui Ma,et al.  Time-varying mesh stiffness calculation of cracked spur gears , 2014 .

[10]  Hui Ma,et al.  Effects of tip relief on vibration responses of a geared rotor system , 2014 .

[11]  Ming J. Zuo,et al.  Spur Gear Tooth Pitting Propagation Assessment Using Model-based Analysis , 2017, Chinese Journal of Mechanical Engineering.

[12]  Sheng Li,et al.  A micro-pitting model for spur gear contacts , 2014 .

[13]  A. Fernandez del Rincon,et al.  A model for the study of meshing stiffness in spur gear transmissions , 2013 .

[14]  S. Swarnamani,et al.  Experimental studies on the effects of reduction in gear tooth stiffness and lubricant film thickness in a spur geared system , 2009 .

[15]  Hui Ma,et al.  Fault features analysis of cracked gear considering the effects of the extended tooth contact , 2015 .

[16]  Hui Ma,et al.  Improved time-varying mesh stiffness model of cracked spur gears , 2015 .

[17]  Wennian Yu,et al.  Effects of tooth plastic inclination deformation due to spatial cracks on the dynamic features of a gear system , 2017 .

[18]  Anette Andersson,et al.  A dynamic model to determine vibrations in involute helical gears , 2003 .

[19]  Hui Ma,et al.  Review on dynamics of cracked gear systems , 2015 .

[20]  Houjun Qi,et al.  Influences of tooth spalling or local breakage on time-varying mesh stiffness of helical gears , 2017 .

[21]  Alfonso Fernández del Rincón,et al.  Effect of cracks and pitting defects on gear meshing , 2012 .

[22]  Aiqiang Zhang,et al.  A study of spur gear pitting under EHL conditions: Theoretical analysis and experiments , 2016 .

[23]  Yang Luo,et al.  A shape-independent approach to modelling gear tooth spalls for time varying mesh stiffness evaluation of a spur gear pair , 2019, Mechanical Systems and Signal Processing.

[24]  Rui Ma,et al.  Research on dynamics and fault mechanism of spur gear pair with spalling defect , 2012 .

[25]  Bangchun Wen,et al.  Comparison of meshing characteristics of helical gears with spalling fault using analytical and finite-element methods , 2019, Mechanical Systems and Signal Processing.

[26]  Kaiyun Wang,et al.  Analytical model for mesh stiffness calculation of spur gear pair with non-uniformly distributed tooth root crack , 2016 .

[27]  Zaigang Chen,et al.  Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack , 2013 .

[28]  Hui Ma,et al.  Commentary on effects of tip relief on vibration responses of a geared rotor system , 2017 .

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

[30]  Yunxia Chen,et al.  Propagation path and failure behavior analysis of cracked gears under different initial angles , 2018, Mechanical Systems and Signal Processing.

[31]  Bangchun Wen,et al.  Time-varying mesh stiffness calculation of spur gears with spalling defect , 2016 .

[32]  David,et al.  A comparative experimental study on the diagnostic and prognostic capabilities of acoustics emission, vibration and spectrometric oil analysis for spur gears , 2007 .

[33]  Yong Qin,et al.  Three new models for evaluation of standard involute spur gear mesh stiffness , 2018 .

[34]  Ming Liang,et al.  Evaluation of the time-varying mesh stiffness for gears with tooth spalls with curved-bottom features , 2018, Engineering Failure Analysis.

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

[36]  Bangchun Wen,et al.  Deformation and meshing stiffness analysis of cracked helical gear pairs , 2019, Engineering Failure Analysis.

[37]  Yaguo Lei,et al.  A probability distribution model of tooth pits for evaluating time-varying mesh stiffness of pitting gears , 2018, Mechanical Systems and Signal Processing.

[38]  Ming Liang,et al.  Dynamical modeling and experimental validation for tooth pitting and spalling in spur gears , 2019, Mechanical Systems and Signal Processing.

[39]  Taoyuan Chen,et al.  A novel distribution model of multiple teeth pits for evaluating time-varying mesh stiffness of external spur gears , 2019, Mechanical Systems and Signal Processing.

[40]  Yimin Shao,et al.  Dynamic features of planetary gear set with tooth plastic inclination deformation due to tooth root crack , 2013 .

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

[42]  Y. Shao,et al.  Dynamic characteristics of helical gears under sliding friction with spalling defect , 2014 .

[43]  Bangchun Wen,et al.  Investigation on meshing and dynamic characteristics of spur gears with tip relief under wear fault , 2019, Science China Technological Sciences.

[44]  Wennian Yu,et al.  A new dynamic model of a cylindrical gear pair with localized spalling defects , 2018 .

[45]  P Velex,et al.  Simulations of the dynamic response of planetary gears in the presence of localised tooth faults , 2019, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science.

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