Computerized tooth profile generation and undercut analysis of noncircular gears manufactured with shaper cutters
Computerized tooth profile generation and undercut analysis of noncircular gears manufactured with shaper cutters
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DOI：
10.1115/1.2826682
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发表时间：
1998-03
影响因子：
3.3
通讯作者：
Shinn-Liang Chang;C. Tsay
中科院分区：
文献类型：
--
作者：
Shinn-Liang Chang;C. Tsay
从运动学的角度推导了共轭非圆齿轮副的节曲线。本文提出了一种考虑逆机构关系和啮合方程的方法，导出了渐开线插齿刀加工非圆齿轮的完整数学模型。该方法类似于接触线法和包络法，但更易于应用于齿形的确定。编制了一个计算机程序，用于生成有侧隙的齿廓。在考虑相对速度和啮合方程的基础上，对根切问题进行了分析。最后，以修正椭圆齿轮为例，说明应用所提出的数学模型时的齿廓生成，并研究齿根切现象。
Pitch curves of a conjugate noncircular gear pair are derived based on kinematic considerations. A method for considering the inverse mechanism relationship and the equation of meshing, is proposed here to derive a complete mathematical model of noncircular gears manufactured with involute-shaped shaper-cutters. The proposed method is similar to the contact line method and the envelope method, but is easier to apply to the determination of tooth profiles. A computer program is developed for generation the tooth profile with backlashes. Undercutting analysis is also investigated by considering the relative velocity and equation of meshing. Finally, modified elliptical gears are presented to illustrate the tooth profile generation when the proposed mathematical model is applied, and to investigate the phenomenon of tooth undercutting.