Abstract:Tooth interior fatigue fracture (TIFF), as the typical failure mode of carburized wind turbine gear, is one of the major limitations to improve the service performance of wind turbine gearbox. This work developed a TIFF reliability analysis model of carburized gear based on the stress-strength interference fuzzy function and material strength degradation theory. The equivalent stress is calculated using load duration distribution method and Dang Van multiaxial fatigue criterion. The model is verified by comparing with gear failure sample coming from a 2MW wind turbine. The effects of gear hardness gradient and micro-modification on TIFF is discussed in detail. The optimization of design parameters is obtained with the regression equation of material exposure. The results show that the core hardness and lead crown are the main influencing factor of TIFF. With the developed optimizing design, the TIFF reliability of discussed gear pair is improved from 0.968399 to 0.972678.
柏厚义1,2,朱才朝1,周烨1,陈晓金1,2,冯厚斌2,叶伟2. 风电渗碳齿轮内部疲劳断裂可靠性研究[J]. 振动与冲击, 2023, 42(7): 106-113.
BAI Houyi1,2, ZHU Caichao1, ZHOU Ye1, CHEN Xiaojin1,2, FENG Houbin2, YE Wei2. Study on the reliability of tooth interior fatigue fracture in carburized wind turbine gear. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(7): 106-113.
[1]VULLO V. Gears: Volume 2: Analysis of Load Carrying Capacity and Strength Design [J]. 2020,
[2]刘怀举, 刘鹤立, 朱才朝, 等. 轮齿齿面断裂失效研究综述 [J]. 北京工业大学学报, 2018, 7):
LIU Huaiju, LIU Heli, ZHU Caichao, et al., Review on Gear Tooth Flank Fracture [J]. Journal of Beijing university of technology, 2018, 7):
[3]AL B, LANGLOIS P. Analysis of tooth interior fatigue fracture using boundary conditions from an efficient and accurate loaded tooth contact analysis; proceedings of the British Gears Association (BGA) Gears 2015 Technical Awareness Seminar, 12th of November, F, 2015 [C].
[4]MACKALDENER M, OLSSON M. Analysis of crack propagation during tooth interior fatigue fracture [J]. Engineering Fracture Mechanics, 2002, 69(18): 2147-62.
[5]AL B C, PATEL R, LANGLOIS P. Comparison of Tooth Interior Fatigue Fracture Load Capacity to Standardized Gear Failure Modes; proceedings of the FTM (Fall Technical Meeting), F, 2016 [C].
[6]HEIN M, TOBIE T, STAHL K. Parameter study on the calculated risk of tooth flank fracture of case hardened gears [J]. Journal of Advanced Mechanical Design Systems & Manufacturing, 2017, 11(6): 05-6.
[7]OCTRUE M, GHRIBI D, SAINSOT P. A Contribution To Study The Tooth Flank Fracture (TFF) In Cylindrical Gears [J]. Procedia Engineering, 2018, 213(215-26.
[8]LIU H, LIU H, BOCHER P, et al. Effects of case hardening properties on the contact fatigue of a wind turbine gear pair [J]. International Journal of Mechanical Sciences, 2018, 141(520-7.
[9]ZHOU Y, ZHU C, LIU H, et al. Investigation of Contact Performance of Case-Hardened Gears Under Plasto-elastohydrodynamic Lubrication [J]. Tribology Letters, 2019, 67(3):
[10]MUSIAL W, BUTTERFIELD S, MCNIFF B. Improving wind turbine gearbox reliability[R]. National Renewable Energy Lab, Golden, CO (United States), 2007.
[11]CLARK C E, BARTER G, SHALER K, et al. Reliability-based layout optimization in offshore wind energy systems. Wind Energy, 2022,25(1), 125-148.
[12]SUN W, CHEN T, WEI J. Dynamic reliability of gears in a wind turbine gearbox under the conditions of variable wind speed and small samples [J]. ARCHIVE Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, 2012, 226(12): 3032-42.
[13]秦大同, 周志刚, 杨军, 等. 随机风载作用下风力发电机齿轮传动系统动态可靠性分析 [J]. 机械工程学报, 2012, 48(3): 1-8.
QIN Datong, ZHOU Zhigang, YANG Jun, et al., Time-dependent Reliability Analysis of Gear Transmission System of Wind Turbine under Stochastic Wind Load, [J]. Journal of mechanical engineering, 2012, 48(3): 1-8.
[14]陈会涛, 秦大同, 吴晓铃, 等. 考虑载荷和参数随机性的风电齿轮传动系统动力可靠性研究 [J]. 太阳能学报, 2014, 10): 1936-43.
Chen Huitao, Qin Datong, Wu Xiaoling, et al., Dynamic reliability analysis of gear transmission system of wind turbine with considering randomness of loadings and parameters, [J].ACTA energiae solaris sinica, 2014, 10): 1936-43
[15]刘波, 安宗文. 考虑零件寿命相关的风电齿轮箱可靠性分析 [J]. 机械工程学报, 2015, 51(010): 164-71.
LIU Bo, AN Zongwen, System Reliability Analysis of Wind Turbine Gearbox ConsideringComponent Life Dependency, [J]. Journal of mechanical engineering, 2015, 51(010): 164-71.
[16]QIAO H, EVANS H P, SNIDLE R W. Comparison of fatigue model results for rough surface elastohydrodynamic lubrication [J]. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2008, 222(3): 381-93.
[17]KAROLCZUK A, MACHA E. A Review of Critical Plane Orientations in Multiaxial Fatigue Failure Criteria of Metallic Materials [J]. International Journal of Fracture, 2005, 134(3-4): 267-304.
[18]OSMAN T, VELEX P. A model for the simulation of the interactions between dynamic tooth loads and contact fatigue in spur gears [J]. Tribology International, 2012, 46(1): 84-96.
[19]BAI H, ZHU C, ZHOU Y, et al. Study on Tooth Interior Fatigue Fracture Failure of Wind Turbine Gears [J]. Metals, 2020, 10(11): 1497.
[20]LANG O. The dimensioning of complex steel members in the range of endurance strength and fatigue life [J]. Zeitschrift fuer Werkstofftechnik, 1979, 10(24-9).
[21]WANG W, LIU H, ZHU C, et al. Effect of the residual stress on contact fatigue of a wind turbine carburized gear with multiaxial fatigue criteria [J]. International Journal of Mechanical Sciences, 2019, 151(263-73.
[22]WITZIG J. Flankenbruch-eine grenze der zahnradtragfähigkeit in der werkstofftiefe [D]; Technische Universität München, 2012.
[23]Stahl K, Höhn B-R, Tobie T. Tooth flank breakage: influences on subsurface initiated fatigue failures of case hardened gears[C]. ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2013: V005T11A006.
[24]方义庆, 胡明敏, 罗艳利. 基于全域损伤测试建立的连续疲劳损伤模型 [J]. 机械强度, 2006, 28(004): 582-6.
FANG Yiqing, HU Mingmin, LUO Yanli, New continuous fatigue damage model based on whole damage field measurement, [J]. Journal of Mechanical Strength, 2006, 28(004): 582-6.
[25]FURUYA Y. A new model for predicting the gigacycle fatigue strength of high-strength steels [J]. Materials Science and Engineering: A, 2019, 743(JAN.16): 445-52.
[26]CHENG P, LI Y, YU W, et al. Comparison of Very High Cycle Fatigue Properties of 18CrNiMo7-6 Steel after Carburizing and Pseudo-carburizing [J]. Journal of Materials Engineering and Performance, 2020, 29(12):
[27]朱才朝, 徐向阳, 陆波, 等. 大功率船用齿轮箱传动系统模糊可靠性优化 [J]. 船舶力学, 2010, 08): 915-21.
ZHU Caichao, XU Xiangyang, LU Bo, et al., Fuzzy reliability optimization for transmission system of high-power marine gearbox, [J]. Journal of Ship Mechanics, 2010, 08): 915-21.
[28]杜雪松, 楼嘉彬, 黄玉成, 等. 考虑强度退化与失效相关性的RV减速器动态可靠性分析 [J]. 机械传动, 2020, v.44;No.278(02): 104-9+26.
Du Xuesong, Lou Jiabin, Huang Yucheng, et al., Dynamic Reliability Analysis of RV Reducer Considering Strength Degradation and Dependent Failure, [J]. Journal of Mechanical Transmission, 2020, v.44;No.278(02): 104-9+26.