DYNAMIC CHARACTERISTICS ANALYSIS OF WIND TURBINE GEAR-BEARING SYSTEMS CONSIDERING EFFECTS OF TOOTH ROOT CRACKS AND SLICING COUPLING

Yang Shuyi; Tan Jianjun; Zhu Caichao; Zhou Ye; Li Chengwu; Liao Bo

doi:10.19912/j.0254-0096.tynxb.2024-0967

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Acta Energiae Solaris Sinica ›› 2025, Vol. 46 ›› Issue (10) : 605-617. DOI: 10.19912/j.0254-0096.tynxb.2024-0967

DYNAMIC CHARACTERISTICS ANALYSIS OF WIND TURBINE GEAR-BEARING SYSTEMS CONSIDERING EFFECTS OF TOOTH ROOT CRACKS AND SLICING COUPLING

Yang Shuyi¹, Tan Jianjun¹, Zhu Caichao¹, Zhou Ye¹, Li Chengwu¹, Liao Bo²

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Abstract

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.

Key words

wind turbines / gear transmission / dynamics / gear cracks / slice method / rolling bearing

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Yang Shuyi, Tan Jianjun, Zhu Caichao, Zhou Ye, Li Chengwu, Liao Bo. DYNAMIC CHARACTERISTICS ANALYSIS OF WIND TURBINE GEAR-BEARING SYSTEMS CONSIDERING EFFECTS OF TOOTH ROOT CRACKS AND SLICING COUPLING[J]. Acta Energiae Solaris Sinica. 2025, 46(10): 605-617 https://doi.org/10.19912/j.0254-0096.tynxb.2024-0967

References

[1] 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.
[2] 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.
[3] 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.
[4] 毕玉, 朱才朝, 谭建军, 等. 齿根裂纹对风电齿轮箱高速级动态特性影响分析及其故障模式识别[J]. 太阳能学报, 2022, 43(7): 284-292.
BI Y, ZHU C C, TAN J J, et al.Influence of tooth root crack on dynamic characteristics of wind turbine gearbox high-speed stage and failure mode identification[J]. Acta energiae solaris sinica, 2022, 43(7): 284-292.
[5] 孟宗, 李佳松, 潘作舟, 等. 裂纹故障对轮齿时变啮合刚度的影响分析[J]. 中国机械工程, 2022, 33(16): 1897-1905, 1911.
MENG Z, LI J S, PAN Z Z, et al.Influences of crack faults on TVMS of gear teeth[J]. China mechanical engineering, 2022, 33(16): 1897-1905, 1911.
[6] 莫帅, 胡庆森, 王檑, 等. 考虑齿根裂纹的传动系统动力学特性研究[J]. 华中科技大学学报(自然科学版), 2023, 51(12): 66-72.
MO S, HU Q S, WANG L, et al.Research on dynamic characteristics of transmission system considering tooth root crack[J]. Journal of Huazhong University of Science and Technology (natural science edition), 2023, 51(12): 66-72.
[7] 莫帅, 王檑, 胡庆森, 等. 裂纹齿轮时变啮合刚度与传动系统振动机理[J]. 中南大学学报(自然科学版), 2023, 54(5): 1769-1778.
MO S, WANG L, HU Q S, et al.Time varying meshing stiffness of cracked gears and fault vibration for transmission system[J]. Journal of Central South University (science and technology), 2023, 54(5): 1769-1778.
[8] 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.
[9] 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.
[10] 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.
[11] 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.
[12] 刘杰, 张磊, 赵思雨, 等. 包含齿根裂纹的风电行星齿轮动力学特性分析[J]. 太阳能学报, 2019, 40(1): 192-198.
LIU J, ZHANG L, ZHAO S Y, et al.Dynamic characteristic of wind turbine planetary set with crack in Sun gear[J]. Acta energiae solaris sinica, 2019, 40(1): 192-198.
[13] 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.
[14] 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.
[15] 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.
[16] 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.
[17] 花志锋, 赵荣珍. 风电齿轮箱行星轮系的齿面摩擦与齿根裂纹耦合效应计算方法[J]. 太阳能学报, 2022, 43(9): 287-293.
HUA Z F, ZHAO R Z.Calculation method of coupling effect of tooth surface friction and tooth root cracking in planetary wheel systems for wind turbine gearboxes[J]. Acta energiae solaris sinica, 2022, 43(9): 287-293.
[18] 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.
[19] 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.
[20] 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.
[21] 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.
[22] 代鹏, 王建平, 鲁珏, 等. 变工况下裂纹故障直齿轮副振动特性分析[J]. 振动与冲击, 2022, 41(11): 225-234.
DAI P, WANG J P, LU J, et al.Vibration characteristics analysis of spur gear pair with crack fault under variable working conditions[J]. Journal of vibration and shock, 2022, 41(11): 225-234.
[23] 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.
[24] 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.
[25] 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.
[26] 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.
[27] 谭建军, 杨书益, 李浩, 等. 齿面粗糙度对风电齿轮箱行星轮系动力学特性影响[J]. 太阳能学报, 2024, 45(3): 122-132.
TAN J J, YANG S Y, LI H, et al.Dynamic characteristics of planetary gear train in wind turbine gearbox under influences of tooth roughness[J]. Acta energiae solaris sinica, 2024, 45(3): 122-132.
[28] 田德, 陶立壮, 胡玥, 等. 基于齿廓修形和摩擦耦合的风电齿轮磨损动力学特性分析[J]. 太阳能学报, 2022, 43(5): 260-269.
TIAN D, TAO L Z, HU Y, et al.Dynamics of wind turbine gear wear fault based on tooth profile modification and friction coupling[J]. Acta energiae solaris sinica, 2022, 43(5): 260-269.
[29] 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.