基于数字化制造的螺旋锥齿轮齿面误差修正

Error Corrections of Spiral Bevel Gear Tooth Surface Based on Digitized Manufacturing

对数字化制造中锥齿轮齿面误差修正理论进行研究。基于实际齿面坐标测量,建立误差曲面公式并给出求解方法;通过以需要调整的参数为设计变量生成的齿面去拟合误差曲面,建立齿面误差修正理论公式,最终求得调整参数修正值;以误差曲面公式和齿面误差修正公式为基础,建立了各阶齿面误差与机床调整参数的关系式;并通过采用单面法和双面法加工齿轮齿面误差的实际算例验证了修正效果。

Theory and technique of surface corrections of spiral bevel and hypoid gears were investigated. Firstly, Equations of error surface were derived and solved by coordinate measuring of tooth surface. Error surface was fitted by the tooth surface, which takes machine settings as design parameters. Equations of surface corrections were derived and the correction values of machine settings could be solved from the equations. And then, the functions between correspond orders of error surface and machine settings were constructed combining the equations of error surface and surface corrections. Finally, the correction effect of equations of gears manufactured by single side method and double side method is investigated via a numerical example.