• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (15): 174-182.doi: 10.3901/JME.2019.15.174

• 机构学及机器人 • 上一篇    下一篇

行星传动多体齿轮承载接触特性分析

蒋进科1, 方宗德2, 刘红梅1   

  1. 1. 长安大学汽车运输安全保障技术交通行业重点实验室 西安 710064;
    2. 西北工业大学机电学院 西安 710072
  • 收稿日期:2018-08-12 修回日期:2019-03-04 出版日期:2019-08-05 发布日期:2019-08-05
  • 作者简介:蒋进科,男,1981年出生,博士,工程师。主要研究方向为齿轮啮合理论,齿面分析及数控加工。E-mail:jjk06@126.com;方宗德,男,1948年出生,博士,教授,博士研究生导师。主要研究方向为齿轮啮合理论,齿面设计及分析,汽车动力学等。E-mail:fauto@nwpu.edu.cn
  • 基金资助:
    中央高校专项业务费资金资助项目(300102228103)。

Loaded Tooth Contact Characteristic Analysis of Multi-gear for Planetary Transmission

JIANG Jinke1, FANG Zongde2, LIU Hongmei1   

  1. 1. Key Laboratory of Automotive Transportation Safety Techniques of Ministry of Transport, Chang'an University, Xi'an 710064;
    2. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072
  • Received:2018-08-12 Revised:2019-03-04 Online:2019-08-05 Published:2019-08-05

摘要: 根据行星齿轮功率分流传动的特点,提出多个齿轮接触的齿面加载接触分析方法。考虑了安装误差条件下的齿面准确几何形态,提出行星齿轮齿面几何接触分析(TCA)方法并获得外(内)各齿轮副的相对齿面间隙;通过一次有限元柔度系数计算获得各齿轮的柔度系数,各外(内)齿轮辐接触点的法向柔度系数通过分别插值太阳轮和行星轮(行星轮和齿圈)齿面网格节点的柔度系数并叠加获得;结合齿轮的几何分析与力学分析,将多个齿轮副受力接触转化为求解齿面有限个离散接触点的力学平衡问题,通过数学规划的方法求解非线性方程组得到加载后各齿轮副的齿面变形、啮合刚度、载荷分布、行星轮均载系数。多载荷传动误差和载荷分配进一步反映了行星传动啮合性能,为高性能行星传动齿面的修形设计、动力学分析奠定了理论基础。

关键词: 承载接触分析, 传动误差, 接触分析, 均载系数, 行星齿轮, 载荷分配

Abstract: An approach of loaded tooth contact analysis of muti-gear for planetary transmission was proposed to simulate gears performances. The relative tooth clearances of external (internal) gear pair were calculated based on tooth contact analysis(TCA) considering accurate topography of tooth surfaces with alignment errors. The normal flexibility matrix caused by unit normal force of tooth surface point were obtained by computing flexibility coefficients based on finite element, and based on which normal flexibility coefficient of points on tooth contact lines for external (internal) gear pairs were calculated by interpolating and summing the the flexibility coefficient from sun and planet gears (planet gears and ring gear). With geometric analysis and mechanical analysis of gears, the tooth contact problem for gear pairs under load were represented to mechanical equilibrium problem of finite contact points. Besides, deformation, meshing stiffness, loads distribution and load sharing coefficient were obtained by solving the non-linear equations applied mathematical programming. Simulation results from transmission errors and load distribution under loads show validity of the method, which contribute to design of modified tooth surfaces and dynamic analysis for high-performance planetary gears.

Key words: load distribution, load sharing coefficient, loaded contact analysis(LTCA), planetary gear, tooth contact analysis(TCA), transmission error

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