法向圆弧齿廓纯滚动圆柱齿轮设计  

Design of pure rolling cylindrical gears with circular arc tooth profile in the normal section

作　　者：杨辉 肖小平 唐万和 陈祯 陈扬枝 FUENTES Alfonso[4] YANG Hui;XIAO Xiaoping;TANG Wanhe;CHEN Zhen;CHEN Yangzhi;FUENTES Alfonso(School of Mechanical and Energy Engineering,Guangdong Ocean University,Yangjiang 529500,China;Guangdong Provincial Key Laboratory of Precision Gear Flexible Manufacturing Equipment Technology Enterprises,Zhongshan 528437,China;School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510641,China;Department of Mechanical Engineering,Rochester Institute of Technology,Rochester 14615,NY,USA)

机构地区：[1]广东海洋大学机械与能源工程学院,阳江529500 [2]广东省精密齿轮柔性制造装备技术企业重点实验室,中山528437 [3]华南理工大学机械与汽车工程学院,广州510641 [4]罗切斯特理工学院工程学院,纽约州罗切斯特14615

出　　处：《机械传动》2025年第4期64-70,共7页Journal of Mechanical Transmission

基　　金：国家自然科学基金项目(5227507,52405056);广东省精密齿轮柔性制造装备技术企业重点实验室开放基金项目(2021B1212050012);重庆市自然科学基金项目(CSTB2022NSCQ-MSX1305);广东海洋大学科研启动基金项目(36030202220,360302022302)。

摘　　要：【目的】为了研究基于啮合线方程主动设计的法向圆弧齿廓纯滚动圆柱齿轮设计方法,深入了解该新型齿轮的啮合特性,包括接触斑痕和非承载传动误差,同时为了更好地掌握中心距误差、交叉轴误差和交错轴误差对螺旋线修形的法向圆弧齿廓纯滚动圆柱齿轮啮合特性的影响,开展了一系列研究工作。【方法】由法向截面的圆弧齿廓推导大轮(从动轮)和小轮(主动轮)端面工作齿廓,端面全齿廓由端面工作齿廓与Hermite曲线构造的根部过渡曲线组合而成,二者在连接点光滑连接;轮齿全齿面由端面全齿廓分别沿小轮和大轮的纯滚动接触线扫掠而成。建立了用于轮齿接触分析的基本设计参数、齿面方程和数学模型,同时,对小轮进行螺旋线抛物线修形来对比齿面啮合特性。【结果】无论是否采取螺旋线抛物线修形,其轮齿接触分析结果充分验证了纯滚动啮合设计思路:所有接触斑痕的中心均位于齿面节线,可以实现纯滚动啮合传动;抛物线形的非承载传动误差曲线由小轮螺旋线修形实现,可以吸收由于错位安装所引发的噪声和振动。该法向圆弧齿廓纯滚动圆柱齿轮具备中心距可分性,但是它对交错轴安装误差更加敏感。本文为后续的应力分析和承载传动误差的深入研究奠定了基础。[Objective] In order to study the active design method of normal circular arc tooth profile pure rolling cylindrical gears based on meshing line equations,to gain a deeper understanding of the meshing characteristics of this new type of gears,including contact marks and non load transmission errors,and to better grasp the effects of center distance error,cross axis error,and cross axis error on the meshing characteristics of normal circular arc tooth profile pure rolling cylindrical gears with tooth profile modification,a series of studies were conducted.[Methods] The transverse active tooth profiles of the gear and pinion were deduced according to the circular arc tooth profiles in the normal section.The entire transverse tooth profiles were combined with the active tooth profile and a Hermite curve as the fillet,which smoothly connecting each other at the connecting point in the transverse section.The whole tooth surfaces of the gears were formed by sweeping the entire transverse tooth profiles along pure rolling contact curves of the pinion and the gear,respectively.The basic design parameters,tooth surface equations,and mathematical models for gear drives were established for tooth contact analysis.Besides,the micro-geometry modification of lead modification of parabolic crowning was applied to the pinion tooth surface to compare the meshing characteristics.[Results] The results of TCA with and without micro-geometry modifications verify the design idea of pure rolling meshing that all the centers of contact patterns lie on the pitch of the tooth surfaces to realize the transmission of pure rolling meshing.The parabolic function of unloaded transmission errors can be realized according to a parabolic crowning of the pinion tooth surface in longitudinal direction to absorb the noise and vibration caused by misalignment errors.The separability of the center distance is demonstrated by the pure rolling cylindrical gears with circular arc tooth profile in the normal section.However,it is proven to be more acutely

关 键 词：纯滚动啮合 啮合线方程 圆弧齿廓 啮合性能 

分 类 号：TH132.417[机械工程—机械制造及自动化]