雙參數曲面族的包絡及其應用
THE ENVELOPING OF A FAMILY OF Bl-PARAMETRIC SURFACES AND ITS APPLICATION
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摘要: 本文導出了雙參數曲面族用參數形式表示時包絡面的計算公式。還給出了把斜軋輥面當作雙參數球面族的包絡面時,求解輥形曲線的圖解解析方法。Abstract: In this paper we derive the formula for computing the envelope of a bi-parametric family of surfaces, when they are expressed in parameters. We also develop a graph-analytic method for cacula ting cross roller shapes with revolving surfaces, when they are considered as envelopes of a bi-parametric family of spheres.
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