误差对同轴六分支分扭人字齿轮传动系统静均载性能影响

李志宾; 王三民; 李飞; 李林林; 彭麒安; 王为康

doi:10.13224/j.cnki.jasp.20200423

误差对同轴六分支分扭人字齿轮传动系统静均载性能影响

doi: 10.13224/j.cnki.jasp.20200423

西北工业大学机电学院, 西安 710072

详细信息

作者简介:
李志宾(1991-),男,博士生,主要从事齿轮传动系统非线性振动。

中图分类号: V232.8
计量
- 文章访问数: 94
- HTML浏览量: 7
- PDF量: 86
- 被引次数: 0
出版历程
- 收稿日期: 2020-10-12
- 刊出日期: 2021-08-28

Influence of error on static load-sharing performance of coaxial six-branch twist herringbone gear transmission system

School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China

摘要

摘要: 以同轴六分支分扭人字齿轮传动系统为研究对象，依据各齿轮受力状态建立该系统的静力平衡方程。考虑到制造误差和安装误差及输入输出轮浮动导致的错位，基于当量啮合误差理论，分析误差的存在性，最后根据系统功率闭环特征建立系统变形协调方程，形成了同轴六分支人字齿轮传动系统静均载分析方法，并结合实例求出系统各齿轮之间静均载系数及分支静均载系数。研究结果表明：在无误差或各齿轮误差均相同为常值时，第Ⅰ级各齿轮静态啮合力为1.773×10⁵ N，第Ⅱ级各齿轮静态啮合力为3.673×10⁵ N，系统具有很好静均载性能，系统分支静均载系数为1，该系统构成功率闭环误差可相互抵消；制造和安装误差幅值同时作用为50 μm时，求得制造误差下分支静均载系数变化幅度比安装误差下分支静均载系数要大，可知制造误差对系统静均载性能影响程度要大；分扭和并车误差幅值同时作用为50 μm时，并车级比分扭级静均载性能更容易受误差的影响，因此输出构件应该有浮动量。综上所述，随制造或安装误差增大或减少，都会对系统静均载性能造成不良的影响，其研究成果可为同轴减速器传动系统制造误差和安装误差精度确定，均载系数确定提供科学依据。
- 制造与安装误差 /
- 同轴六分支 /
- 人字齿轮传动系统 /
- 静均载性能 /
- 变形协调
Abstract: The static equilibrium equation of the system is fulfilled based on the stress state of each gear with coaxial six-branch twisted herringbone gear transmission system as the research object. Considering the manufacturing error,installation error and dislocation caused by input and output wheel floating, the existence of error is analyzed based on the theory of equivalent meshing error. The system deformation coordination equation is established according to the closed characteristics of system power. The static load coefficient and branch static load coefficient of coaxial six-branch herringbone gear transmission system are obtained by examples. The results showed that when there was no error or the gear error was the same constant value, the static meshing force of the first grade gear was 1. 773×10⁵ N and the second grade gear was 3. 673×10⁵ N. The system has good static load-sharing performance and the system branch static load-sharing coefficient was 1, and the closed loop error of the system can be eliminated from each other. When the amplitude of manufacturing and installation error was 50 μm at the same time,the variation amplitude of branch static load coefficient under manufacturing error was larger than that under installation error,and it can be seen that the manufacturing error had a great influence on the static load performance of the system. When the amplitude of partial torsion and parallel error was 50 μm at the same time,the static load-sharing per-formance of parallel level at the two-stage transmission system was more easily affected by the error than the torsion level, so the output member should have a floating amount. To sum up, with the increase or decrease of the system error, it would have a bad effect on the static load-sharing performance of the system. The research results can provide scientific basis for the determination of manufacturing error and installation error accuracy of coaxial reducer transmission system and the de-termination of average load coefficient.
- manufacturing and installation errors /
- coaxial six-branch /
- herringbone gear transmission system /
- static load-sharing performance /
- compatibility of deformation

HTML

参考文献(18)

[1]	KAHRAMAN A. Load sharing characteristics of planetary transmissions[J]. Mechanism and Machine Theory, 1994, 29(8):1151-1165.
[2]	KAHRAMAN A.Statict load sharing characteristics of transmission planetary gear sets:model and experiment[J].Society of Automotive Engineers,1991,108(6):1954-1963.
[3]	KRANTZ T L. A method to analyze and optimize the load sharing of split path transmissions[R]. NASA ARL-TR-1066,1996.
[4]	WHITE G. Design study of a split-torque helicopter transmission[J].Journal of Aerospace Engineering,1998,212(2):117-123.
[5]	YURIY G. Multi-path rotary wing aircraft gearbox:US7918146B2[P].2011-04-05.
[6]	WINK C H, SERPA A L.Performance assessment of solution methods for load distribution problem of gear teeth[J]. Mechanism and Machine Thory, 2008,43(1):80-94.
[7]	SINGH A.Load sharing behaviorin in epicyclic gears:physical explanation and generalized formulation[J]. Mechanism and Machine Thory,2010,45(3):511-530.
[8]	陆俊华,朱如鹏,靳广虎. 行星传动动态均载特性分析[J]. 机械工程学报,2009,45(5):85-90. LU Junhua,ZHU Rupeng,JIN Guanghu.Analysis of dynam-ic load sharing behavior in planetary gearing[J].Chinese Journal of Mechanical Engineering, 2009, 45(5):85-90.(in Chinese)
[9]	朱增宝,朱如鹏,鲍和云,等. 偏心与安装误差对封闭差动人字齿轮传动系统静力学均载特性的影响[J]. 华南理工大学学报(自然科学版),2011,39(8):19-25. ZHU Zengbao,ZHU Rupeng,BAO Heyun,et al.Impacts of eccentric and installation errors on static load sharing behaviors of encased differential herringbone train[J]. Journal of South China University of Technology(Natural Science Edition),2011,39(8):19-25.(in Chinese)
[10]	杜进辅,方宗德,王宝宾,等. 基于变形协调的行星轮系均载特性研究[J].航空动力学报,2012,27(5):1166-1171. DU Jinfu, FANG Zongde, WANG Baobing, et al. Study on load sharing behavior of planeary gear train based on deformation compatibility[J]. Journal of Aerospace Power, 2012, 27(5):1166-1171.(in Chinese)
[11]	董皓,方宗德,杜进辅. 双路功率分流传动系统的静态均载特性分析[J].哈尔滨工业大学学报,2013,45(9):94-99. DONG Hao, FANG Zongde, DU Jinfu. Static load sharing characteristics analysis for power split transmission system[J]. Journal of Harbin Institute of Technology, 2013, 45(9):94-99.(in Chinese)
[12]	董皓,方宗德,王宝宾,等. 基于变形协调和间隙浮动的双路功率分流系统均载特性分析[J]. 航空动力学报,2013,28(4):872-877. DONG Hao, FANG Zongde, WANG Baobing, et al. Load sharing characteristics analysis of power split system based on deflection compatibility and clearance floating[J]. Journal of Aerospace Power,2013,28(4):872-877.(in Chinese)
[13]	桂永方,朱如鹏,扶碧波,等. 扭转刚度对双输入圆柱齿轮分流传动系统动力学均载系数的影响[J]. 航空动力学报, 2014,29(9):2264-2272. GUI Yongfang,ZHU Rupeng,FU Bibo,et al.Impact of torsional stiffness on dynamic load sharing coefficient of two-input cylindrical gear split-torque transmission syetem[J].Journal of Aerospace Power, 2014, 29(9):2264-2272.(in Chinese)
[14]	靳广虎,任薇,朱如鹏. 扭转刚度对功率分流传动系统均载特性的影响[J].航空动力学报,2019,34(11):2478-2489. JIN Guanghu, REN Wei, ZHU Rupeng. Infuluence of torsional stiffness on load sharing characteristics of power split transmission system[J]. Journal of Aerospace Power, 2019, 34(11):2478-2489.(in Chinese)
[15]	袁茹, 王三民, 沈允文. 行星齿轮传动的功率分流动态均衡优化设计[J].航空动力学报,2000,15(4):410-418. YUAN Ru, WANG Sanmin, SHEN Yunwen. Dynamic optimum design of power shared out equally among the planetary gears[J]. Journal of Aerospace Power, 2000, 15(4):410-418.(in Chinese)
[16]	LIGATA H,KAHRAMAN A,SINGH A.An experimental study of the influence of manufacturing errors on the planetary gear stresses and planetary load sharing[J]. Joumal of Mechanical Design,2008,130(4):137-139.
[17]	LITVIN F L. Gear geometry and applied Theory[M]. New Jersey, US:PTR(Professional Technical Reference) Prentice Hall,1994:258-280.
[18]	袁擎宇,朱如鹏,朱自冰,等. 两级星型齿轮传动静力学均载分析[J].机械科学与技术,2004,23(7):789-792. YUAN Qingyu, ZHU Rupeng, ZHU Zibing, et al. Analysis of static load sharing in a 2-stage star gearing system[J].Mechanical Science and Technology, 2004, 23(7):789-792.(in Chinese)