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中南大学学报(自然科学版)

Journal of Central South University

第49卷    第10期    总第290期    2018年10月

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文章编号:1672-7207(2018)10-2454-08
柔轮凸齿廓半径对双圆弧谐波齿轮传动摩擦学性能的影响
裴欣1,周广武1,王家序1, 2,杨勇1,张振华1,胡如康1

(1. 四川大学 空天科学与工程学院,四川 成都,610065;
2. 重庆大学 机械传动国家重点实验室,重庆,400044
)

摘 要: 基于改进的运动学法,利用啮合不变矩阵建立公切线双圆弧柔轮齿廓弧长参数方程和理论啮合方程,可求得理论共轭啮合区以及刚轮齿廓参数。综合考虑真实表面粗糙度、载荷、轮齿几何接触、卷吸速度等,建立双圆弧齿廓谐波减速器柔轮与刚轮在共轭啮合区域的混合润滑数学模型。分析啮合区域不同齿廓参数对于谐波传动装置润滑性能的影响。研究结果表明:在设计柔轮齿廓的时候,合理增加凸圆弧齿廓的半径有利于改善接触区域润滑状态。在工况不变的情况下特别是在中高速的工况下,加大柔轮凸圆弧齿廓半径可以增加接触区油膜厚度,增大膜厚比,且改善的效果随着转速的增加而增大,但当凸齿廓半径增大到很接近凹齿廓半径时,继续增加几乎不改善润滑条件。

 

关键字: 双圆弧齿廓;齿廓参数;润滑;优化分析

Influence of convex tooth radius of flexspline on tribology of double circular arc harmonic gear transmission
PEI Xin1, ZHOU Guangwu1, WANG Jiaxu1, 2, YANG Yong1, ZHANG Zhenhua1, HU Rukang1

1. School of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, China;
2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China

Abstract:By using the meshing invariant matrix to establish the parameter equation and theoretical meshing equation, the theoretical conjugate meshing region and the circular-spine-tooth profile parameters could be worked out based on improved kinematics. Taking into account the real surface roughness, load, geometric contact teeth, the suction speed, a mixed lubrication mathematical model of flex-spline and soft-spline in meshing area of double circular arc tooth profile harmonic reducer was established. The influence of different tooth profile parameters on the lubrication performance of the harmonic transmission was analyzed. The results show that in the design of soft-spline tooth profile, reasonable increase of the radius of convex arc tooth profile is conducive to the improvement of the contact area lubrication state. Under constant conditions, especially high-speed conditions, increasing the radius of the convex circular arc tooth profile can the film thickness of the contact zone and increase the film thickness ratio, and the improvement effect increases with the increase of the rotational speed. However, when the radius of the convex tooth is increased to be very close to the radius of the crown, the continued increase does not improve the lubrication conditions.

 

Key words: double arc tooth profile; tooth profile parameters; lubrication; optimization

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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