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本文探讨了包络线机构的主要干涉形式——曲率干涉。从分析共轭廓线的曲率关系着手,提出了欧拉——沙伐利公式的一个简捷的新证法,并把“五线图”创造性地作为研究曲率干涉的工具。只要给出一对瞬心线和一条廓线,就可以作五线图迅速判别曲率干涉是否发生。瞬心线和廓线可以是任何形状的,所以这种方法具有普遍的意义。这里,先说明它在圆柱齿轮、非圆齿轮和花键加工中的应用。本文是在导师罗明燏院长(华南工学院)的精湛指导下完成的,谨向他表示衷心的感谢。
This article explores the main form of interference in envelope mechanisms - curvature interference. Starting with the analysis of the curvature relationship of conjugate profiles, a simple new proof of Euler-Shafald formula is proposed and the “five-line diagram” is creatively used as a tool to study curvature interference. As long as a pair of instantaneous center line and a contour is given, it can be quickly determined whether the curvature interference occurs as a five-line diagram. The center line and contour lines can be of any shape, so this method has universal meaning. Here, let’s explain its application in spur gears, non-circular gears and spline machining. This article was completed under the superb guidance of mentor Luo Mingli (South China Institute of Technology), and I sincerely thank him.