In order to further investigate the influence between the tooth root crack excitation and the dynamic characteristics of the wind turbine gear-bearing coupling system
a quantitative calculation of the time varying meshing stiffness(TVMS) of cracked gears and a coupled system vibration solution method considering the slicing coupling effect are proposed. Taking the high-speed stage of a certain type of wind power gearbox in an enterprise as the research object
and comprehensively considering time-varying factors such as the dynamic meshing force of gear pairs and the dynamic supporting force of rolling bearings
a dynamic model of crack faults in the wind power gear-bearing coupling system was established. The influence of tooth root cracks on the TVMS of gears and the dynamic characteristics of the system was analyzed
and the correctness of the model was verified through bench tests. The results show that: the gear TVMS correction algorithm considering the slicing coupling effect can better characterise the dynamic change of the gear meshing stiffness under crack failure
the tooth root crack causes the gear TVMS to decrease
and ignoring the coupling effect between the slicing gear teeth may overestimate the effect of the tooth root crack depth on the gear TVMS. There is a certain correlation law between the root crack excitation and the dynamic contact load of the rolling body in the bearing
with the increase of the root crack depth
the amplitude of the dynamic contact load of the rolling body also increases
and the range of the bearing load carrying area tends to decrease; When cracked gears are involved in meshing
the reduction of TVMS will cause the vibration displacement of the coupled gear-bearing system to produce a large cyclic shock response
and produce the phenomenon of side bands near the meshing frequency
ignoring the coupling effect between the sliced gears and teeth
or simplifying bearings to stiffness damping matrix may underestimate the vibration response of the coupled system due to gear crack excitation.
关键词
Keywords
references
CHEN Z G, ZHAI W M, SHAO Y M, et al.Analytical model for mesh stiffness calculation of spur gear pair with non-uniformly distributed tooth root crack[J]. Engineering failure analysis, 2016, 66: 502-514.
NING J Y, CHEN Z G, ZHI Y S, et al.Improved analytical method for gear body-induced deflections with tooth root crack considering structural coupling effect[J]. Engineering failure analysis, 2022, 137: 106400.
CHEN Z G, ZHANG J, ZHAI W M, et al.Improved analytical methods for calculation of gear tooth fillet-foundation stiffness with tooth root crack[J]. Engineering failure analysis, 2017, 82: 72-81.
CUI L L, HUANG J F, ZHAI H, et al.Research on the meshing stiffness and vibration response of fault gears under an angle-changing crack based on the universal equation of gear profile[J]. Mechanism and machine theory, 2016, 105: 554-567.
PATIL V, CHOUHAN V, PANDYA Y.Geometrical complexity and crack trajectory based fatigue life prediction for a spur gear having tooth root crack[J]. Engineering failure analysis, 2019, 105: 444-465.
CHEN Y X, JIN Y, LIANG X H, et al.Propagation path and failure behavior analysis of cracked gears under different initial angles[J]. Mechanical systems and signal processing, 2018, 110: 90-109.
WANG S Y, ZHU R P, XIAO Z M.Investigation on crack failure of helical gear system of the gearbox in wind turbine: Mesh stiffness calculation and vibration characteristics recognition[J]. Ocean engineering, 2022, 250: 110972.
XIE C Y, SHU X D.A new mesh stiffness model for modified spur gears with coupling tooth and body flexibility effects[J]. Applied mathematical modelling, 2021, 91: 1194-1210.
WANG Q B, CHEN K K, ZHAO B, et al.An analytical-finite-element method for calculating mesh stiffness of spur gear pairs with complicated foundation and crack[J]. Engineering failure analysis, 2018, 94: 339-353.
HUANGFU Y F, CHEN K K, MA H, et al.Deformation and meshing stiffness analysis of cracked helical gear pairs[J]. Engineering failure analysis, 2019, 95: 30-46.
QIAO Z Z, CHEN K K, ZHOU C J, et al.An improved fault model of wind turbine gear drive under multi-stage cracks[J]. Simulation modelling practice and theory, 2023, 122: 102679.
KALAY O C, DOĞAN O, YUCE C, et al. Effects of tooth root cracks on vibration and dynamic transmission error responses of asymmetric gears: a comparative study[J]. Mechanics based design of structures and machines, 2024, 52(5): 2569-2604.
LIU Z M, CHANG C, HU H D, et al.Dynamic characteristics of spur gear system with tooth root crack considering gearbox flexibility[J]. Mechanical systems and signal processing, 2024, 208: 110966.
ZHAO W Q, LIU J, ZHAO W H, et al.An investigation on vibration features of a gear-bearing system involved pitting faults considering effect of eccentricity and friction[J]. Engineering failure analysis, 2022, 131: 105837.
WAN Z G, CAO H R, ZI Y Y, et al.Mesh stiffness calculation using an accumulated integral potential energy method and dynamic analysis of helical gears[J]. Mechanism and machine theory, 2015, 92: 447-463.
HUANG W K, LI Z W, MA H, et al.A novel analytical method for meshing characteristics of spiral bevel gears considering slice coupling[J]. Mechanism and machine theory, 2024, 195: 105591.
LI Z W, MA H, FENG M J, et al.Meshing characteristics of spur gear pair under different crack types[J]. Engineering failure analysis, 2017, 80: 123-140.
LIANG X H, ZUO M J, PANDEY M.Analytically evaluating the influence of crack on the mesh stiffness of a planetary gear set[J]. Mechanism and machine theory, 2014, 76: 20-38.
XIANG L, GAO N.Coupled torsion-bending dynamic analysis of gear-rotor-bearing system with eccentricity fluctuation[J]. Applied mathematical modelling, 2017, 50: 569-584.
MENG Z, SHI G X, WANG F L.Vibration response and fault characteristics analysis of gear based on time-varying mesh stiffness[J]. Mechanism and machine theory, 2020, 148: 103786.