基于椭圆法的摆线轮齿廓修形

Cycloid Gear Profile Modification based on Elliptical Method

为得到更加理想的摆线轮齿廓线型,提出一种新的摆线轮齿廓修形方法。在保证短幅系数,偏心距不变的情况下,利用椭圆对摆线轮的标准理论轮廓线滚动切割修形,得到修形后的齿面轮廓线,并推导出其方程表达式。与常用的齿廓修形方法相比,修形后的齿廓曲线在主要工作段更加逼近完全共轭齿廓,并且通过控制椭圆的形状参数,可对摆线轮与针齿轮的啮合间隙进行调整,简单灵活。分析该修形齿廓的法向齿廓间隙、初始啮合间隙、接触应力以及回差影响,验证了该修形方法的合理性。

In order to get a more ideal cycloidal profile,a new cycloid profile modification method is proposed.Under the circumstance of keeping the short coefficient and the eccentricity constant,the contour line of the modified tooth profile is obtained by the elliptical crocheting of the standard theoretical contour line,and the expression of the equation is deduced.Compared with the commonly used method of tooth profile modification,the modified tooth profile curve is much closer to the complete conjugate tooth profile on the main meshing areas,and the meshing clearance between the cycloid wheel and the pin wheel can be made adjustment by controlling the shape parameters of the ellipse,which is simple and flexible.The normal tooth profile clearance,initial meshing clearance,contact stress and backlash are analyzed to verify the rationality of the modified method.