圆柱斜齿圆弧齿轮根切分析  

Undercut Analysis of Cylindrical Helical Circular Arc Gear

作　　者：黄小平[1] 赵林林[1,2] Huang Xiaoping(College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China;Faculty of Mechanical Electric and Information Engineering, Jiangsu Polytechnic of Finance & Economics, Huaian 223003, China)

机构地区：[1]南京林业大学机械电子工程学院,江苏南京210037 [2]江苏财经职业技术学院机械电子与信息工程学院,江苏淮安223003

出　　处：《机械传动》2019年第6期29-36,54,共9页Journal of Mechanical Transmission

摘　　要：圆柱斜齿圆弧齿轮根切的深入分析和详细数据目前并不多见,影响人们对该齿轮根切产生确切、具体和深刻的认识,以及现有理论的广泛应用。针对圆柱斜齿圆弧齿轮,导出了其根切界限方程和不根切条件,详细研究了根切可能性、齿廓最易根切点的位置、不根切最少齿数的确定。将这些成果应用于纯滚动圆弧齿轮和W-N圆弧齿轮,得到验证、拓展和新结论,并获得齿轮工作者很想得知的根切计算数据。研究为各种具有圆柱圆弧齿的机械零件的不根切设计提供了理论依据。At present, there are few in-depth analysis and detailed data on undercut of cylindrical helical circular arc gears, which affect people's accurate, specific and profound understanding of this undercut and the extensive application of the existing theories. For cylindrical helical circular arc gears, the undercut boundary equation and no undercut condition are derived,and the undercut probability as well as determination of point most easy to be undercut at tooth profile and minimum number of teeth to avoid undercut are studied in detail. When applied to the pure rolling circular arc gear and W-N circular arc gear, above results are verified and extended, and new conclusions and undercut calculation data that gear workers want to know are ob tained. This study provides a theoretical basis for the non-undercut design of various mechanical parts with cy lindrical circular arc teeth.

关 键 词：根切和啮合干涉 根切可能性 不根切最少齿数 纯滚动圆弧齿轮 W-N圆弧齿轮 

分 类 号：TG61[金属学及工艺—金属切削加工及机床]