基于MATLAB的非圆齿轮副齿廓算法研究

Numerical Algorithm of Tooth Profile of Noncircular Gear Pair Based on MATLAB

根据展成法加工齿轮的原理和变位思路设计非圆齿轮齿廓。阐述了精确计算一对外凸节曲线非圆齿轮副齿廓数据的数值算法,并提出依据主动轮节曲线自动优化非圆齿轮副中心距和计算从动轮节曲线的方法。主从动非圆齿轮齿廓的啮合曲线部分分别由同一齿条刀具不同侧包络而成,确保啮合时无间隙。通过齿条刀具沿两齿轮旋转中心连线偏离节曲线改变变位量,消除根切,实现非零变位。采用该方法设计加工出的非圆齿轮已应用于实际样机中,确保该方法的可行性。

According to the theory of rack-shaped cutter and modified method design the tooth profile with noncircular gear,Elaborated precisely calculates a couple of outer noncircular gear with all convex pitch curve tooth profile data value algorithm.And proposed automatically optimizes the noncircular gear vice-center distance and computation driven gear pitch curve.The host and the driven noncircular gear teeth profile meshing curve part separately by the identical rack cutting tool different side envelope,Guarantees when meshing zero clearance.Through rack cutting tool along two gear center of rotation segment deviation pitch curve change modified quantity to avoid tooth undercut,Realization nonzero modified.The noncircular gear machined by this method has been used in real machine,which verifies the feasibility of the method.