基于相对曲率控制的直齿轮设计及其应力、啮合刚度分析  

Design of a spur gear based on the relative curvature control and analysis of its stress and mesh stiffness

作　　者：陈峙玮 刘雷[1] 孔荣 CHEN Zhiwei;LIU Lei;KONG Rong(College of Mechanical&Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学机电学院,南京210016

出　　处：《机械强度》2025年第4期105-111,共7页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(52075238);南京航空航天大学“直升机传动技术重点实验室”基金课题(HTL-A-21G04)。

摘　　要：直齿轮啮合点的相对曲率是齿廓的关键几何参数之一,对齿轮应力分布和啮合刚度有着显著影响。从等相对曲率(Constant Relative Curvature,CRC)齿轮的相关研究出发,基于考虑齿轮时变啮合特性的相对曲率控制策略,构建了3种非渐开线直齿轮齿廓,并对其进行啮合仿真,分析了相对曲率控制对齿轮最大接触应力、最大弯曲应力及啮合刚度的影响,验证了控制策略的有效性,为基于相对曲率控制的直齿轮设计提供了一定的参考。The relative curvature of the spur gear mesh point is one of the key geometric parameters of the tooth profile,which has a significant impact on the stress distribution and mesh stiffness of the gear.Starting from the relevant research on constant relative curvature(CRC) gears,three types of non-involute spur gear tooth profiles were constructed based on the relative curvature control strategy considering the time-varying mesh characteristics of gears,and the mesh simulation of gear pairs was implemented.The influence of relative curvature control on the maximum contact stress,maximum bending stress,and mesh stiffness of gears was analyzed.The effectiveness of the control strategy was verified.This work provides some reference for the design of spur gears based on the relative curvature control.

关 键 词：相对曲率 直齿轮设计 啮合过程 应力分析 

分 类 号：TH122[机械工程—机械设计及理论]