Vibration analysis of a planetary gear with the flexible ring and planet bearing fault

Abstract Vibration performances of planetary gears are greatly affected by the flexible ring gear and planet bearing faults. However, the previous works only considered single flexible ring gear, rigid planetary gear system or planet bearing fault in their models. To overcome this problem, a flexible-rigid coupling dynamic (FMBD) model for a planetary gear is presented. Both the flexible ring gear, flexible supports of the ring gear and sun gear, and a rectangular local fault in the planet bearing are formulated in the presented FMBD model. The time-varying impulse force caused by the fault is described by a half-sine profile. Effects of the fault width, moment, and input speed on the time- and frequency-domain responses of the planetary gear are analyzed. To validate the presented FMBD model, the results from the FMBD model are compared with those from the experiment in the listed work. Note that the time- and frequency-domain responses from the flexible-rigid and rigid models are very different. Thus, the flexible ring gear should be formulated in the dynamic models of planetary gear, as well as the flexible supports of the ring gear and sun gear. The presented results can give some guidance for fault detection methods of planet bearings.

[1]  Ian Howard,et al.  Vibration response from the planetary gear with flexible ring gear , 2019, International Journal of Powertrains.

[2]  Hui Ma,et al.  Analysis of varying contact angles and load distributions in defective angular contact ball bearing , 2018, Engineering Failure Analysis.

[3]  Zidan Xu,et al.  A statistical feature investigation of the spalling propagation assessment for a ball bearing , 2019, Mechanism and Machine Theory.

[4]  Jiawei Xiang,et al.  Fault diagnosis of rolling element bearing based on symmetric cross entropy of neutrosophic sets , 2020 .

[5]  Yi Wang,et al.  A tacholess order tracking method for wind turbine planetary gearbox fault detection , 2019, Measurement.

[6]  Kaiyun Wang,et al.  Improved analytical calculation model of spur gear mesh excitations with tooth profile deviations , 2020 .

[7]  Hui Ma,et al.  Meshing and dynamic characteristics analysis of spalled gear systems: A theoretical and experimental study , 2020 .

[8]  Qingkai Han,et al.  Investigation of cage motions affected by its unbalance in a ball bearing , 2017 .

[9]  Alessandro Fasana,et al.  Planetary gearbox with localised bearings and gears faults: simulation and time/frequency analysis , 2017, Meccanica.

[10]  Robert G. Parker,et al.  Dynamic modeling and analysis of a spur planetary gear involving tooth wedging and bearing clearance nonlinearity , 2010 .

[11]  Jing Liu,et al.  A dynamic modelling method of a rotor-roller bearing-housing system with a localized fault including the additional excitation zone , 2020 .

[12]  Mangesh B. Chaudhari,et al.  Compound gear-bearing fault feature extraction using statistical features based on time-frequency method , 2018, Measurement.

[13]  Wim Desmet,et al.  Assessment of excitation mechanisms and structural flexibility influence in excitation propagation in multi-megawatt wind turbine gearboxes: Experiments and flexible multibody model optimization , 2013 .

[14]  Jing Liu,et al.  An improved analytical model for a lubricated roller bearing including a localized defect with different edge shapes , 2018 .

[15]  Yimin Shao,et al.  A numerical investigation of effects of defect edge discontinuities on contact forces and vibrations for a defective roller bearing , 2016 .

[16]  Yaguo Lei,et al.  Condition monitoring and fault diagnosis of planetary gearboxes: A review , 2014 .

[17]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

[18]  Homer Rahnejat,et al.  Bearing induced vibration in precision high speed routing spindles , 2000 .

[19]  Yimin Shao,et al.  The effect of a localized fault in the planet bearing on vibrations of a planetary gear set , 2018 .

[20]  Khanh T.P. Nguyen,et al.  Health monitoring of bearing and gear faults by using a new health indicator extracted from current signals , 2019, Measurement.

[21]  Rajesh Kumar,et al.  Time-frequency analysis and support vector machine in automatic detection of defect from vibration signal of centrifugal pump , 2017 .

[22]  Pablo M. Carrica,et al.  Coupled computational fluid dynamics/multibody dynamics method for wind turbine aero-servo-elastic simulation including drivetrain dynamics , 2017 .

[23]  F P Wardle,et al.  Vibration Forces Produced by Waviness of the Rolling Surfaces of Thrust Loaded Ball Bearings Part 2: Experimental Validation , 1988 .

[24]  Yimin Shao,et al.  Overview of dynamic modelling and analysis of rolling element bearings with localized and distributed faults , 2018 .

[25]  N Aktärk,et al.  The effect of ball size variation on vibrations associated with ball-bearings , 1998 .

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

[27]  Wim Desmet,et al.  Multibody modelling of varying complexity for modal behaviour analysis of wind turbine gearboxes , 2010 .

[28]  Robert G. Parker,et al.  Parametric instability of spinning elastic rings excited by fluctuating space-fixed stiffnesses , 2017 .

[29]  Marco Amabili,et al.  DYNAMIC ANALYSIS OF SPUR GEAR PAIRS: STEADY-STATE RESPONSE AND STABILITY OF THE SDOF MODEL WITH TIME-VARYING MESHING DAMPING , 1997 .

[30]  Robert G. Parker,et al.  Nonlinear Dynamics of Planetary Gears Using Analytical and Finite Element Models , 2007 .

[31]  Saeid Vafaei,et al.  Indicated repeatable runout with wavelet decomposition (IRR-WD) for effective determination of bearing-induced vibration , 2003 .

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

[33]  Yimin Shao,et al.  Dynamic modeling for rigid rotor bearing systems with a localized defect considering additional deformations at the sharp edges , 2017 .

[34]  Jing Liu,et al.  An analytical calculation method of the load distribution and stiffness of an angular contact ball bearing , 2019 .

[35]  Torgeir Moan,et al.  Multi‐body modelling and analysis of a planet carrier in a wind turbine gearbox , 2013 .

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

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

[38]  Saeid Vafaei,et al.  Vibration monitoring of high speed spindles using spectral analysis techniques , 2002 .

[39]  Jiawei Xiang,et al.  Latest developments in gear defect diagnosis and prognosis: A review , 2020 .

[40]  P. M. Johns-Rahnejat,et al.  Roller bearing dynamics under transient thermal-mixed non-Newtonian elastohydrodynamic regime of lubrication , 2015 .