滚刀径向整体铲磨砂轮精确计算  

Accurate mathematical models for relief grinding of gear hob cutters

作　　者：刘丰林[1] 秦大同[2] 徐晓刚[3] 陈就[1] 

机构地区：[1]重庆大学光电技术与系统教育部重点实验室,重庆400030 [2]重庆大学机械传动国家重点实验室,重庆400030 [3]重庆通信学院,重庆400035

出　　处：《重庆大学学报（自然科学版）》2009年第12期1374-1380,共7页Journal of Chongqing University

基　　金：国家'十一五'科技支撑计划资助项目(2006BAF01B07-01)

摘　　要：中等模数以下滚刀齿形的全齿面以及齿顶和齿底圆弧要求一次铲磨形成,铲磨砂轮截形需要精确计算。分析滚刀径向铲磨运动,以整体精确铲磨出滚刀设计齿形为目标,依据齿面啮合原理,建立滚刀铲磨砂轮廓形的数学模型。再由砂轮截面廓形及铲磨时砂轮与滚刀的啮合条件,建立滚刀实际铲背曲面模型,并给出滚刀重磨后齿形与理想齿形的偏差计算方法。对一种直槽零前角剃前滚刀、一种螺旋槽零前角圆弧滚刀进行铲背砂轮截形及滚刀重磨误差计算,结果表明该方法精确、有效。可用于计算滚刀径向铲磨砂轮数控修整的时砂轮截形和确定滚刀铲磨工艺参数。A mathematical model for accurate relief grinding of gear hob cutters along radial directions is presented based on the analysis of grinding geometry. Both the design and manufacturing models of gear hob cutters are carefully derived and presented. By employing the plane envelope theory,the reference contour of the grinding wheel is determined in order to attain the design tool profile precisely. The tooth profile error model after regrinding is also given to confirm the grinding parameters. The model provides accurate solutions for both the tool profile and the sectional contour of the grinding wheel. It is simple and straightforward and can be used to produce high-precision hob cutters systematically. Two numerical examples are presented to illustrate the effectiveness of the proposed method. The model computing results indicate that the proposed method is practical,precise and reliable. The method provides valuable reference for the design and machining of hob cutters.

关 键 词：滚刀铲磨 砂轮 重磨误差 数学模型 

分 类 号：TG701[金属学及工艺—刀具与模具]