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航空学报  2017, Vol. 38 Issue (8): 421145-421145    DOI: 10.7527/S1000-6893.2017.421145
  材料工程与机械制造 本期目录 | 过刊浏览 | 高级检索 |
李铭1, 谢里阳1, 丁丽君2
1. 东北大学 机械工程与自动化学院, 沈阳 110819;
2. 中国航发黎明运行保障中心, 沈阳 110000
Reliability analysis and calculation for planetary mechanism
LI Ming1, XIE Liyang1, DING Lijun2
1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China;
2. AECC Liming Operation Support Center, Shenyang 110000, China
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关键词:  行星机构偏载分析可靠度计算疲劳寿命弯曲应力计算;    

For a planetary mechanism, structural design defects, manufacturing and installation errors, lack of stiffness of the support structure and other factors may cause to a certain degree unequal load sharing, thus affecting the life and reliability of the entire body. A reliability prediction model for the planetary gear set is established by using the concept of minimum order statistics, and the model reflects the influence of partial load on the reliability of the planetary gear set. A detailed kinematics and mechanics analysis of the mechanism is carried out, and the random load histories of each gear are calculated. According to the law of Miner linear fatigue cumulative damage, the random load histories are transformed into equivalent constant amplitude load spectrums, which are taken as the load input variable for the reliability model. The fatigue life data of specific gears are then statistically processed, and the treated life information is used as the strength input variable for the reliability model. According to the prediction result of the model, the adverse effects of partial load on the reliability of the planetary gear set are quantitatively explained, and the effectiveness of the model is verified by randomly censored data processing.

Key words:  planetary mechanism;    partial load analysis;    reliability calculation;    fatigue life;    bending stress calculation;
收稿日期:  2017-01-17      修回日期:  2017-02-17           出版日期:  2017-08-15      发布日期:  2017-05-18      期的出版日期:  2017-08-15
ZTFLH:  V215.7  


通讯作者:  谢里阳,    E-mail:
李铭, 谢里阳, 丁丽君. 行星机构的可靠性分析与计算[J]. 航空学报, 2017, 38(8): 421145-421145.
LI Ming, XIE Liyang, DING Lijun. Reliability analysis and calculation for planetary mechanism. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(8): 421145-421145.
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[1] HIDAKA T, TERAUCHI Y. Dynamic behavior of planetary gear (1st report load distribution in planetary gear)[J]. Bulletin of the JSME, 1976, 19(132):690-698.
[2] HIDAKA T, TERAUCHI Y, DOHI K. On the relation between the run out errors and the motion of the center of sun gear in a stoeckicht planetary gear[J]. Bulletin of the JSME, 1979, 22(167):748-754.
[3] HIDAKA T, TERAUCHI Y, NAGAMURA K. Dynamic behavior of planetary gear (7th report influence of the thickness of ring gear)[J]. Bulletin of the JSME, 1979, 22(170):1142-1149.
[4] MULLER H W. Epicyclic drive trains[D]. Detroit:Wayne State University, 1982.
[5] SEAGER D L. Load sharing among planet gears:700178[R]. SAE, 1970.
[6] KASUBA R, AUGUST R. Torsional vibrations and dynamic loads in a basic planetary gear system[J]. Journal of Vibration and Acoustics, 1986, 108(3):348-353.
[7] MA P, BOTMAN M. Load sharing in a planetary gear stage in the presence of gear errors and misalignments[J]. Journal of Mechanisms, Transmissions, and Automation in Design, 1985, 107:1-7.
[8] JARCHOW F. Development status of epicyclic gears[C]//ASME International Power Transmission and Gearing Conference. New York:ASME, 1989:48-53.
[9] HAYASHI T, LI Y, HAYASHI I. Measurement and some discussions on dynamic load sharing in planetary gears[J]. Bulletin of the JSME, 1986, 29(253):2290-2297.
[10] KAHRAMAN A. Load sharing characteristics of planetary transmissions[J]. Mechanism and Machine Theory, 1994, 29(8):1151-1165.
[11] KAHRAMAN A. Static load sharing characteristics of transmission planetary gear sets:Model and experiment:1999-01-1050[R]. SAE, 1999.
[12] YANG Q. Fatigue test and reliability design of gears[J]. International Journal of Fatigue, 1996, 18(3):171-177.
[13] ZHANG Y M, LIU Q, WEN B. Practical reliability-based design of gear pairs[J]. Mechanism and Machine Theory, 2003, 38:1363-1370.
[14] ZHANG G Y, WANG G Q, LI X F. Global optimization of reliability design for large ball mill gear transmission based on the kriging model and genetic algorithm[J]. Mechanism and Machine Theory, 2013, 69(11):321-336.
[15] NEJAD A R, GAO Z, MOAN T. On long-term fatigue damage and reliability analysis of gears under wind loads in offshore wind turbine drive trains[J]. International Journal of Fatigue, 2014, 61:116-128.
[16] LI Y F, VALLA S, ZIO E. Reliability assessment of generic geared wind turbines by GTST-MLD model and Monte Carlo simulation[J]. Renewable Energy, 2015, 83:222-233.
[17] GUERINE A, ELHAMI A, WALHA L. A perturbation approach for the dynamic analysis of one stage gear system with uncertain parameters[J]. Mechanism and Machine Theory, 2015, 92:113-126.
[18] HASL C, LIU H, OSTER P. Method for calculating the tooth root stress of plastic spur gears meshing with steel gears under consideration of deflection-induced load sharing[J]. Mechanism and Machine Theory, 2017, 111:152-163.
[19] CONCLI F, GORLA C. Numerical modeling of the power losses in geared transmissions:Windage, churning and cavitation simulations with a new integrated approach that drastically reduces the computational effort[J]. Tribology International, 2016, 103:58-68.
[20] WANG L M, SHAO Y M. Fault mode analysis and detection for gear tooth crack during its propagating process based on dynamic simulation method[J]. Engineering Failure Analysis, 2017, 71:166-178.
[21] GLODEZ S, ABERSEK B. A computational model for determination of service life of gears[J]. International Journal of Fatigue, 2002, 24(10):1013-1020.
[22] GLODEZ S, ABERSEK B. Evaluation of the service life of gears in regard to surface pitting[J]. Engineering Fracture Mechanics, 2004, 71(4):429-438.
[23] ABERSEK B, FLASKER J. Review of mathematical and experimental models for determination of service life of gears[J]. Engineering Fracture Mechanics, 2004, 71(4):439-453.
[24] BRITISH STANDARD. ISO 6336-3 Calculation of load capacity of spur and helical gears, part 3:Calculation of tooth bending strength[S]. 2006.
[25] BUCH A. Fatigue strength calculation[M]. 1988:169-170.
[26] AKATA E, ALTINBALIK M T, CAN Y. Three point load application in single tooth bending fatigue test for evaluation of gear blank manufacturing methods[J]. International Journal of Fatigue, 2004, 26(7):785-789.
[27] SAVARIA V, BRIDIER F, BOCHER P. Predicting the effects of material properties gradient and residual stresses on the bending fatigue strength of induction hardened aeronautical gears[J]. International Journal of Fatigue, 2016, 85:70-84.
[28] DENGO C. Experimental analysis of bending fatigue strength of plain and notched case-hardened gear steels[J]. International Journal of Fatigue, 2015, 80:145-161.
[29] CONRADO E, GORLA C, DAVOLI P. A comparison of bending fatigue strength of carburized and nitrided gears for industrial applications[J]. Engineering Failure Analysis, 2017, 78(8):41-54.
[30] 安宗文, 张宇, 刘波. 风电齿轮箱零件寿命分布函数的确定方法[J]. 电子科技大学学报, 2014, 43(6):950-954. AN Z W, ZHANG Y, LIU B. A method to determine the life distribution function of components for wind turbine gearbox[J]. Journal of University of Electronic Science and Technology of China, 2014, 43(6):950-954(in Chinese).
[31] OLSSON E, OLANDER A, OBERG M. Fatigue of gears in the finite life regime-experiments and probabilistic modelling[J]. Engineering Failure Analysis, 2016, 62(1):276-286.
[32] FERNANDES P. Tooth bending fatigue failures in gears[J]. Engineering Failure Analysis, 1996, 3(3):219-225.
[33] MACKALDENER M, OLSSON M. Interior fatigue fracture of gear teeth[J]. Fatigue and Fracture of Engineering Materials and Structures, 2000, 23(4):283-292.
[34] MACKALDENER M, OLSSON M. Tooth interior fatigue fracture-computational and material aspects[J]. International Journal of Fatigue, 2001, 23(4):329-340.
[35] 林左鸣. 世界航空发动机手册[M]. 北京:航空工业出版社, 2012:240-270. LIN Z M. World aero engine manual[M]. Beijing:Aviation Industry Press, 2012:240-270(in Chinese).

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