Computerized determination of gear tooth surface as envelope to two parameter family of surfaces
Computerized determination of gear tooth surface as envelope to two parameter family of surfaces
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DOI：
10.1016/s0045-7825(96)01064-x
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发表时间：
1996-12
影响因子：
7.2
通讯作者：
F. Litvin;I. Seol
中科院分区：
文献类型：
--
作者：
F. Litvin;I. Seol
本文的内容包括：（1）二参数曲面族包络的充要条件。 (2)在工具表面生成齿轮齿面中的应用。 (3)避免产生的齿面的奇点和底切。 (4) 实际齿轮齿面与包络线到工具曲面二参数族的偏差。将所开发的理论应用于通过磨削渐开线蜗杆生成斜齿轮的情况并进行说明，该渐开线蜗杆以两个独立参数执行运动。
The contents of this paper covers: (1) Necessary and sufficient conditions of the envelope to a two-parameter family of surfaces. (2) Applications to the generation of the gear tooth surface by a tool surface. (3) Avoidance of singularities and undercutting of the generated tooth surface. (4) Deviations of the real gear tooth surface from the envelope to the family of two-parameter family of tool surfaces. The developed theory is applied and illustrated for the case of generation of a helical gear by a grinding involute worm that is performing motion with two independent parameters.