Tooth surface geometry optimization of spiral bevel and hypoid gears generated by duplex helical method with circular profile blade  

作　　者：张宇 严宏志 曾韬 曾亦愚 

机构地区：[1]State Key Laboratory of High Performance Complex Manufacturing,College of Mechanical and Electrical Engineering,Central South University,Changsha 410012,China [2]Changsha Haliang Kaishuai Precision Machinery Co.Ltd.,Changsha 410100,China

出　　处：《Journal of Central South University》2016年第3期544-554,共11页中南大学学报（英文版）

基　　金：Project(2011CB706800-G)supported by the National Basic Research Program of China;Project(51375159)supported by the National Natural Science Foundation of China;Project(20120162110004)supported by the Postdoctoral Science Foundation of China;Project(2015JJ5020)supported by the Science Foundation of Hunan Province,China

摘　　要：In order to effectively improve meshing performance of spiral bevel and hypoid gears generated by the duplex helical method, the effects of straight lined and circular cutting edges profile on meshing and contact of spiral bevel and hypoid gears were investigated analytically. Firstly, a mathematical model of spiral bevel and hypoid gears with circular blade profile was established according to the cutting characteristics of the duplex helical method. Based on a hypoid gear drive, the tooth bearings and the functions of transmission errors of four design cases were analyzed respectively by the use of the tooth contact analysis(TCA), and the contact stresses of the four design cases were analyzed and compared using simulation software. Finally, the curvature radius of the circular profile blade was optimized. The results show that the contact stresses are availably reduced, and the areas of edge contact and severe contact stresses can be avoided by selecting appropriate circular blade profile. In addition, the convex and concave sides are separately modified by the use of different curvature radii of inside and outside blades, which can increase the flexibility of the duplex helical method.In order to effectively improve meshing performance of spiral bevel and hypoid gears generated by the duplex helical method, the effects of straight lined and circular cutting edges profile on meshing and contact of spiral bevel and hypoid gears were investigated analytically. Firstly, a mathematical model of spiral bevel and hypoid gears with circular blade profile was established according to the cutting characteristics of the duplex helical method. Based on a hypoid gear drive, the tooth bearings and the functions of transmission errors of four design cases were analyzed respectively by the use of the tooth contact analysis（TCA）, and the contact stresses of the four design cases were analyzed and compared using simulation software. Finally, the curvature radius of the circular profile blade was optimized. The results show that the contact stresses are availably reduced, and the areas of edge contact and severe contact stresses can be avoided by selecting appropriate circular blade profile. In addition, the convex and concave sides are separately modified by the use of different curvature radii of inside and outside blades, which can increase the flexibility of the duplex helical method.

关 键 词：circular blade profile duplex helical method spiral bevel and hypoid gears modification contact stress 

分 类 号：TH132.41[机械工程—机械制造及自动化]