弧齿锥齿轮磨削表面粗糙度建模与试验验证  

Modeling and Experimental Validation of Spiral Bevel Gear Grinding Surface Roughness

作　　者：孔祥晗[1] 明兴祖[1] 周静[1] 

机构地区：[1]湖南工业大学机械工程学院,湖南株洲412007

出　　处：《机械传动》2012年第10期10-15,共6页Journal of Mechanical Transmission

基　　金：湖南自然科学基金项目(11JJ3055);湖南省高等学校科学研究重点项目(11A028)

摘　　要：首先对磨削砂轮工作表面进行形貌分析,将砂轮磨粒突起高度视为随机分布,建立了用于弧齿锥齿轮大轮磨削的扩口杯砂轮的数学模型。然后根据弧齿锥齿轮在六轴五联动数控磨齿机上的磨削机理,对砂轮与弧齿锥齿轮的磨削运动关系进行深入分析,建立了坐标系并求得砂轮磨粒切削刃运动轨迹方程。再根据砂轮磨粒运动轨迹与齿面的干涉关系,得出弧齿锥齿轮磨削齿面形貌,进而建立了磨削齿面粗糙度的数学模型。最后通过Matlab软件编制M文件,对弧齿锥齿轮磨削齿面粗糙度进行实例数值计算,并与实测数据对比,结果表明粗糙度数学模型预断值与实测值相当一致。Firstly,the mathematical model of flared cup grinding wheel of grinding spiral bevel gear wheel is established through analyzing the grinding wheel working surface morphology and considering the abrasive grain protrusion height as a random distribution.Then according to the grinding mechanism of spiral bevel gear in six-axis and five-axis coordinate NC tooth grinding machine and the relation of grinding motion between grinding wheel and spiral bevel gear in-depth analysis is carried out,the analysis coordinate systems are established,and the cutting trajectory equations of the abrasive cutting edge of the grinding wheel are obtained.Based on interference relationship between the abrasive motion trajectory and tooth surface,the spiral bevel gear grinding tooth surface morphology is obtained,and then the mathematical model of grinding tooth face roughness is established.Finally,M files that calculate the spiral bevel gear grinding tooth face roughness are compiled through the Matlab software.Compared the calculated value with the measured data,the results show that the prognostic value of roughness mathematical model and the measured value is consistent.

关 键 词：弧齿锥齿轮 磨削 表面粗糙度 建模 MATLAB 

分 类 号：TG580.6[金属学及工艺—金属切削加工及机床]