行星机构的可靠性分析与计算

doi:10.7527/S1000-6893.2017.421145

Abstract

Abstract:

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

CLC Number:

LI Ming, XIE Liyang, DING Lijun. Reliability analysis and calculation for planetary mechanism[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(8): 421145-421145.

References

[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).

Reliability analysis and calculation for planetary mechanism

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Fuze ZHANG. Determination of the calendar life of the whole aircraft and the relevant issues [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(3): 229863-229863.
[2]	LI Yuhai, WANG Chengbo, CHEN Liang, DONG Hongda, GUAN Yu, DI Hongliang, GU Yuxuan. Overview on development of advanced fighter life design and extension technology [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(8): 525791-525791.
[3]	YANG Zhengwei, ZHAO Zhibin, LI Yin, SONG Yuanjia, KOU Guangjie, LI Lei, CHENG Pengfei. Infrared radiation characteristics of CFRP laminate surface under compressive fatigue load [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(5): 524239-524239.
[4]	ZHANG Fuze. Principle and method of calculating real corrosion tolerance value of aircraft struture [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(5): 524457-524457.
[5]	ZHANG Junrui, ZHENG Xitao, YUAN Lin, ZHONG Guiyong, LI Guochen. Fatigue life prediction method for hybrid multi-bolted joints based on damage weight [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(5): 524306-524306.
[6]	WANG Lianqing, HU Ya'nan, CHE Zhigang, WU Shengchuan. Fatigue performance of laser shock processed fusion welded 7075 Al alloy [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(5): 524320-524320.
[7]	LIU Binchao, BAO Rui, SUI Fucheng. A mean-stress model including material cyclic constitutive in uniaxial fatigue [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(12): 224735-224735.
[8]	TAN Xiaoming, ZHANG Danfeng, ZHAN Guipan, WANG De. Damage mechanism of shot peened ultra-high strength steel under combined action of marine environment and fatigue load [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(8): 223631-223631.
[9]	SHA Yundong, AI Size, ZHAO Fengtong, JIANG Zhuoqun, ZHANG Jiaming. Vibro-acoustic response analysis and fatigue life prediction of thin-walled structures with high speed heat flux [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(2): 223327-223327.
[10]	MU Tong, MENG Ge, XIE Liyang, ZHANG Jianbo, SHI Chaocheng. Accelerated random fatigue test design based on stress distribution model [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(2): 223229-223229.
[11]	REN Shangkun, ZU Ruili. Fatigue test of welds with defects based on magnetic memory technology [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(3): 422454-422454.
[12]	GOU Lei, MA Yu'e, DU Yong, LIU Lei, GUO Chao, LI Gang. Residual stress profile and fatigue life of 7050 aluminum plate with groove under laser shot peening [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(12): 423096-423096.
[13]	XU Yingqiang, CHEN Xianliang, CAO Dongbo. Compatibility test method in minimal samples situation with two samples [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(5): 221936-221936.
[14]	DONG Anqi, ZHAO Xinqing, ZHAO Yan. Tension-tension fatigue performance of unidirectional out-of-autoclave composite manufactured by automated fiber placement [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(2): 421422-421422.
[15]	YANG Qiang, WEN Congcong, SUN Zhili, ZHANG Mengjun. Reliability analysis of fatigue life of aviation electrical connector contact parts [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(10): 222123-222123.