基于平面展成原理的双圆弧齿轮精确建模方法  

Accurate Modeling Method of Double Circular Arc Gear Based on Plane Generation Principle

作　　者：王伟东 李吉伟 曹黎萍 李良燕 姜宏奎 任少英 WANG Wei-dong;LI Ji-wei;CAO Li-ping;LI Liang-yan;JIANG Hong-kui;REN Shao-ying(Shandong Liuhang Reducer Co.,Ltd.,Zibo 255200,China;School of Mechanical Engineering&Automation,Beihang University,Beijing 100191,China)

机构地区：[1]山东柳杭减速机有限公司,山东淄博255200 [2]北京航空航天大学机械工程及自动化学院,北京100191

出　　处：《机械工程与自动化》2021年第2期72-74,共3页Mechanical Engineering & Automation

摘　　要：基于平面展成原理建立双圆弧齿轮齿面数学方程,通过编写的齿轮设计软件,输出齿面的离散点,通过样条曲面构造双圆弧齿轮精确的三维模型。采用视觉测量法对齿轮实物进行了测量,通过对比实物与模型,验证了建模方法的正确性。该研究成果为双圆弧齿轮的检验评定、力学分析及动态仿真提供了准确的三维模型。The mathematical equation of the tooth surface of the double circular arc gear is established based on the principle of plane generation.Through the written gear design software,the discrete points of the tooth surface are output,and the accurate three-dimensional model of the double circular arc gear is constructed through the spline surface.The actual gear was measured by the visual measurement method.By comparing the real object and the model,the correctness of the modeling method is verified.The research results of this paper provide an accurate three-dimensional model for the inspection and evaluation,mechanical analysis and dynamic simulation of double circular arc gears.

关 键 词：双圆弧齿轮 平面展成原理 建模 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术] TH132.416[自动化与计算机技术—计算机科学与技术]