| 一种复杂曲面展开的通用算法 |
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| 引用本文： | 詹雯,周来水,陈功.一种复杂曲面展开的通用算法[J].机械制造与自动化,2007,36(1):83-85,87. |
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| 作者姓名： | 詹雯 周来水 陈功 |
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| 作者单位： | 1. 南京航空航天大学,江苏,南京,210016
2. 南京航空航天大学,江苏,南京,210016;中国矿业大学,江苏,徐州,221008 |
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| 摘 要： | 提出了一种基于几何展开/力学修正的复杂曲面展开的通用算法,实现复杂曲面的展开.首先,对三维曲面进行三角化,用三角片模型来表达三维曲面;然后,采用几何展开的方法将三维曲面展开为初始二维平面;最后,提出一种改进的能量法优化算法,建立能量模型,对初始展开平面进行优化,得到最终展开结果.由于采用了能量法对初始展开片面进行优化,曲面展开的精度较易控制,因此能够更有效地解决CAD/CAM中的曲面展开问题.
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| 关 键 词： | 几何展开/力学修正 能量模型 曲面展开 三维曲面展开 通用算法 Development Complex Surface Algorithm 问题 易控制 精度 结果 优化算法 开平面 能量模型 能量法 改进 二维平面 方法 表达 三角片模型 三角化 复杂曲面 |
| 文章编号： | 1671-5276（2007）01-0083-03 |
| 修稿时间： | 2006-07-20 |
A General Algorithm of Complex Surface Development |
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| ZHAN Wen,ZHOU Lai-shui,CHEN Gong.A General Algorithm of Complex Surface Development[J].Machine Building & Automation,2007,36(1):83-85,87. |
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| Authors: | ZHAN Wen ZHOU Lai-shui CHEN Gong |
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| Affiliation: | 1. Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; 2. China University of Mining and Technology, Xuzhou 221008, China |
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| Abstract: | A general algorithm based on geometry flattening/mechanics revision principle is presented in this paper. This general algorithm can solve the development of complex surface. Firstly, faceted model is used to represent a complex surface. Secondly, 2D original flattening is obtained to form 3D surface. Thirdly, a physical model composed of a set of nodes connected by springs is constructed to optimize the original flattening. Compared to earlier method, this approach provides more flexibility for solving CAD/CAM surface development problems. |
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| Keywords: | geometry flattening/mechanics revision energy-based model surface development |
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