An approach for designing a developable surface through a given line of curvature
An approach for designing a developable surface through a given line of curvature
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一种通过给定曲率线设计可展曲面的方法
DOI：
10.1016/j.cad.2012.11.001
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发表时间：
2013-03-01
影响因子：
4.3
通讯作者：
Zhu, Chun-Gang
中科院分区：
文献类型：
--
作者：
Li, Cai-Yun;Wang, Ren-Hong;Zhu, Chun-Gang
可展曲面和曲率线在几何设计和曲面分析中起着重要的作用。本文提出了一种构造以给定曲线为曲率线的可展曲面的新方法，分析了所得到的可展曲面为圆柱面、圆锥面和切曲面的充要条件。最后通过一些典型的算例说明了该方法的方便性和有效性。(C)2012爱思唯尔有限公司保留所有权利。
Developable surface and line of curvature play an important role in geometric design and surface analysis. This paper proposes a new method to construct a developable surface possessing a given curve as the line of curvature of it. We analyze the necessary and sufficient conditions when the resulting developable surface is a cylinder, cone or tangent surface. Finally, we illustrate the convenience and efficiency of this method by some representative examples. (C) 2012 Elsevier Ltd. All rights reserved.