基于节点切线平行线的非圆齿轮齿廓特征点求法

Numerical Algorithm of Tooth Profile of Fourier Curve of Non-Circular Gear

根据范成法加工非圆齿轮的原理,提出基于节点切线平行线的非圆齿轮齿廓特征点求法,以提高齿廓计算的精度;讨论利用齿廓节点处的切线平行线与齿廓包络线求取齿廓曲线的特征点,进而获得非圆齿轮的齿廓数据;通过傅里叶节曲线非圆齿轮的齿廓数据计算,验证了该算法的正确性。

According to theory and real process of tooth profile generation with rack-shaped cutter, this paper proposes a non-circular gear tooth profile forming method based on parallel lines of node tan- gent, improving the accuracy of the calculation of tooth profile; Through tangent parallel lines of non-cir- cular gear tooth profile nodes, the paper envelopes lines of the tooth profile to calculate tooth profile data. Examples of the tooth profile calculation of Fourier non-circular pitch curve are used to check the correct- ness of the algorithm.