Vibration characteristics of railway locomotive induced by gear tooth root crack fault under transient conditions

Abstract Dynamic interactions between wheel and rail are becoming more intensified under the development of locomotive towards high-speed, heavy-haul and high-power directions, which are more likely to cause failures in gear transmission system of high-power heavy-haul electric locomotive. The dynamic impact of the locomotive gear transmission system becomes more drastic, especially for the extreme operation conditions, such as traction/braking process. Gear fault diagnosis under unsteady conditions has always been a hot and difficult research spot, and revealing of the gear fault vibration characteristics under the transient conditions is the premise and basis for effective fault detection and diagnosis. In order to reveal the gear fault vibration characteristics of railway locomotive dynamics system, a spatial dynamic model of a heavy-haul electric locomotive considering the dynamic coupling effect of gear transmission system is proposed based on the multibody dynamics theory in this paper. Then the dynamic responses of the locomotive under transient condition are obtained by considering the complicated excitations induced by the wheel-rail nonlinear contact, gear mesh and tooth root crack. The time-frequency analysis and angular synchronous average method are adopted to investigate the fault vibration feature of the tooth root crack. Finally, the distribution and variation of vibration characteristics of the gear tooth root crack fault evolution are revealed by condition indicators such as the Crest Factor (CF), Kurtosis (K), Fourth Order Figure of Merit (FM4), M6A, and M8A. The results indicate that: (1) the time-frequency analysis results of vibration acceleration of wheelset and bogie frame and dynamic mesh force could reflect the fundamental mesh frequency and its harmonics, however, only the vertical and longitudinal vibration acceleration of the wheelset and the gear dynamic mesh force could reflect the fault vibration characteristics in time-frequency analysis results; (2) the FM4, M6A and M8A values of locomotive system vibration signal could effectively reflect the crack propagation on the dynamic features of the locomotive system after being processed by angular synchronous averaging method.

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

[2]  Jie Zhang,et al.  Improved analytical methods for calculation of gear tooth fillet-foundation stiffness with tooth root crack , 2017 .

[3]  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.

[4]  Wanming Zhai,et al.  Dynamic investigation of a locomotive with effect of gear transmissions under tractive conditions , 2017 .

[5]  Wanming Zhai,et al.  Establishment and validation of a locomotive–track coupled spatial dynamics model considering dynamic effect of gear transmissions , 2019, Mechanical Systems and Signal Processing.

[6]  Wanming Zhai,et al.  A Detailed Model for Investigating Vertical Interaction between Railway Vehicle and Track , 2021, The Dynamics of Vehicles on Roads and on Tracks.

[7]  D J Thompson,et al.  Fundamentals of Rail Vehicle Dynamics: Guidance and Stability , 2004 .

[8]  Kaiyun Wang,et al.  A spatial dynamics model for heavy-haul electric locomotives considering the dynamic coupling effect of gear transmissions , 2019, Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit.

[9]  Wanming Zhai,et al.  Effect of the drive system on locomotive dynamic characteristics using different dynamics models , 2019, Science China Technological Sciences.

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

[11]  Wanming Zhai,et al.  TWO SIMPLE FAST INTEGRATION METHODS FOR LARGE‐SCALE DYNAMIC PROBLEMS IN ENGINEERING , 1996 .

[12]  Wanming Zhai,et al.  Vibration feature evolution of locomotive with tooth root crack propagation of gear transmission system , 2019, Mechanical Systems and Signal Processing.

[13]  Andy C. C. Tan,et al.  Gearbox fault diagnosis of high-speed railway train , 2016 .

[14]  Tao Zhang,et al.  Study on vibration characteristics of a locomotive with gear tooth root crack by simulation , 2016, 2016 Prognostics and System Health Management Conference (PHM-Chengdu).

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

[16]  V K Garg,et al.  Dynamics of railway vehicle systems , 1984 .

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

[18]  Wanming Zhai,et al.  Fundamentals of vehicle–track coupled dynamics , 2009 .

[19]  Wanming Zhai,et al.  A locomotive–track coupled vertical dynamics model with gear transmissions , 2017 .

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

[21]  Wanming Zhai,et al.  Locomotive dynamic performance under traction/braking conditions considering effect of gear transmissions , 2018 .

[22]  Cai-chao Zhu,et al.  Investigation on the influence of work holding equipment errors on contact characteristics of face-hobbed hypoid gear , 2019, Mechanism and Machine Theory.

[23]  Hui Ma,et al.  Effects of gear crack propagation paths on vibration responses of the perforated gear system , 2015 .