机电复合传动装置时常处于高速、重载、高油温等恶劣环境中，导致装置内行星齿轮系统的瞬态啮合温度急剧上升。利用有限元法对不同转速、不同载荷以及变转速恒功率条件下的行星齿轮系统模型瞬态温度场进行计算。分析不同条件下太阳轮及行星轮的瞬态温度曲线及齿面发热情况，绘制不同工况下齿顶面及齿根面瞬态温度场三维曲线，详细讨论齿面瞬态温度相对增长关系以及增长量，得到不同转速、不同扭矩以及输出功率对于太阳轮及行星轮的瞬态温度场影响规律。结果表明：在不同转速条件下，太阳轮与行星轮齿根面温度与齿顶面最高温度随着转速的增加而逐渐升高，当太阳轮转速大于5 000 r/min后最高温度的升高率则逐渐降低；在恒功率条件下，随着转速增大，太阳轮与行星轮齿顶面和齿根面最高温度降低的绝对值基本等于上一个转速点的2倍。试 验验证了该方法的正确性。
Abstract
The transient meshing temperature of planetary gear system rises sharply when the electro-mechanical composite transmission device works in a harsh environment such as high speed, heavy load and high oil temperature. The transient temperature fields of planetary gear system model under different speeds, different loads, variable speed and constant power are calculated by finite element method. The transient temperature curves and tooth surface heating of sun gear and planetary gear under different conditions are analyzed, and the three-dimensional curves of transient temperature field on tooth top surface and tooth root surface under different working conditions are drawn. The relative growth relationship and growth amount of transient temperature on tooth surface are discussed in detail, and the influence laws of different rotating speed, different torques and output power on the transient temperature field of sun gear and planetary gear are obtained. Under different rotating speeds, the root surface temperature and maximum top surface temperature of sun gear and planetary gear teeth gradually increase with the increase in rotating speed, and when the rotating speed of sun gear is greater than 5 000 r/min, the increase rate of maximum temperature gradually decreases. Under the condition of constant power, the absolute value of the reduced maximum temperature of the top surface and root surface of sun gear and planetary gear teeth is basically equal to twice of the previous rotating speed point with the increase in rotating speed. The correctness of the method used in this paper is verified by experiments.
关键词
机电复合传动装置 /
行星齿轮系统 /
齿面瞬态温度场 /
试验对比验证
{{custom_keyword}} /
Key words
electro-mechanicaltransmission /
planetarygearsystem /
toothsurface /
transienttemperaturefield /
experimentalverification
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
［1］王伟，郭宗和，秦志昌.某行星齿轮减速器多齿啮合动力学特性研究[J].山东理工大学学报(自然科学版),2021,35(6):41-47.
WANG W，GUO Z H，QIN Z C. Research on dynamic characteristics of multi-tooth meshing of a planetary gear reducer[J]. Journal of Shandong University of Technology (Natural Science Edition),2021,35(6): 41-47.(in Chinese)
[2］李玉豪，刘远宏.基于VMD-相关系数-峭度提取行星齿轮箱故障特征[J].兵器装备工程学报,2021,42(6):262-267.
LI Y H，LIU Y H. Fault feature extraction of planetary gearbox based on VMD correlation coefficient kurtosis[J]．Journal of Ordnance Equipment Engineering，2021,42(6): 262-267．(in Chinese)
[3］ANIFANTISN, DIMAROGONAS A D. Flash and bulk temperatures of gear teeth due to friction[J]. Mechanism and Machine Theory, 1993, 28(1): 159-164.
[4］HHN B R, MICHAELIS K. Influence of oil temperature on gear failures[J]. Tribology International, 2004, 37(2): 103-109.
[5］SUN S, ZHU W G, Z Y X. Analysis on the influencing factors of the temperature field of involute gears [J]. Journal of Machine Design, 2009, 2: 021.
[6］BLOK H. Theoretical study of temperature rise at surfaces of actual contact under oiliness lubricating conditions[C]∥Proceedings of the General Discussion on Lubricationand Lubricators. London, UK: Institution of Mechanical Engineers，1937.
[7］BLOK H. Measurement of temperature flashes on gear teeth under extreme pressure conditions[J].Proceedings of the Institution of Mechanical Engineers,1937,1(2): 229.
[8］BLOKH. The flash temperature concept [J]. Wear, 1963，6(6): 483-494.
[9］TOBET, KATO M. A study on flash temperatures on the spur gear teeth[J]. Journal of Engineering for Industry, 1974，96(1): 78-84.
[10］TERAUCHIY, MORI H. Comparison of theories and experimental results for surface temperature of spur gear teeth [J]. Journal of Engineering for Industry, 1974，96(1): 41-50.
[11］WANG K L, CHENG H S. A numerical solution to the dynamic load, film thickness, and surface temperatures in spur gears, Part I: analysis[J]. Journal of Mechanical Design, 1981, 103(1):177-187.
[12］PATIR N, CHENG H S. Prediction of the bulk temperature in spur gears based on finite element temperature analysis[J]. Tribology Transactions, 1979, 22(1): 25-36.
[13］TOWNSEND D P, AKIN L S. Analytical and experimental spur gear tooth temperature as affected by operating variables[J]. Journal of Mechanical Design, 1980, 103(1): 219-226.
[14］TEVRUS T. Experimental investigation on scoring of gears and calculation by emperature method [J]. Wear，1998，217: 81-94.
[15］SHI Y, YAO Y P, FEI J Y. Analysis of bulk temperature field and flash temperature for locomotive traction gear [J]. Applied Thermal Engineering, 2016, 99: 528-536.
[16］WANG Y Z, TANG W, CHEN Y Y, et al. Investigation into the meshing friction heat generation and transient thermal characteristics of spiral bevel gears [J]. Applied Thermal Engineering, 2017, 119: 245-253.
[17］LI W, ZHAI P F, TIAN J Y, et al. Thermal analysis of helical gear transmission system considering machining and installation error [J]. International Journal of Mechanical Sciences, 2018, 149: 1-17.
[18］LUO B, LI W. Influence factors on bulk temperature field of gear[J]. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2017, 231(8): 953-964.
[19］ZHANG J G, LIU S J, FANG T. Determination of surface temperature rise with the coupled thermo-elasto-hydrodynamic analysis of spiral bevel gears [J]. Applied Thermal Engineering, 2017, 124: 494-503.
[20］LI W, PANG D Q, HAO W. Effects of the helix angle, the friction coefficient and mechanical errors on unsteady-state temperature field of helical gear and thermal sensitivity analysis [J]. Inernational Journal of Heat and Mass Transfer, 2019, 144: 118669.
[21］LI W, PANG D P. Investigation on temperature field of surrounding tooth domain with cracked tooth in gear system [J]. Mechanism and Machine Theory, 2018, 130: 523-538.
[22］宋万良,陆伟光.固体膜润滑齿轮表面温度的分析与计算[J].兵工学报, 1987, 8(3): 40-48.
SONG W L, LU W G.Analysis and calculation on surface temperature of solid film lubricated gear [J].Acta Armamentarii, 1987, 8(3): 40-48.(in Chinese)
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
