一种有效的把空间曲面近似展成平面的方法  

A USEFUL EFFECTIVE METHOD FOR APPROXIMATE TRANSFORMATION OF AN ARBITRARY CURVED SURFACE INTO A PLANE

作　　者：李中立[1] 叶小兵[2] 吴健生 黄达达[3] 

机构地区：[1]石家庄铁道学院 [2]天津大学建筑设计研究院 [3]北京纽曼帝莱蒙膜建筑技术有限公司

出　　处：《天津大学学报》1999年第1期61-64,共4页Journal of Tianjin University(Science and Technology)

基　　金：国家自然科学基金;天津市自然科学基金;高等学校博士学科专项科研基金

摘　　要：将动态规划法原理同平面热应力问题相结合，用于空间任意曲面近似展成平面．计算机辅助设计在空间曲面的设计中是不可缺少的，尤其是在空间曲面转换为平面的制作过程中．动态规划法是基于有限元法的基本思想，把空间任意曲面划分成有限个相邻的条块（本文称之为条元），条元的宽窄一般由料的幅宽和曲面的曲率决定；通过平面试形状，依次耦联计算出每条元的展开形状，便可得到整个曲面的展开图．最后给出两个算例．The dynamic programming method(DPM) is combined with the plant thermodynamics problem to approximately transform an arbitrary curved surface into a plant.The CAD system is indispensable in designing a curved surface,especially in manufacturing processes for transformation of a curved surface into a plane.This method is based on the finite element analysis theory.An objective curved surface is decomposed into regions of adjacent strips according to the width of material and the variety of surface curvature.Then,each region(or strip) is developed in turn into a flattened shape by using the trial plan.The whole shape is derived by solving multi stage decision processes.Finally,two examples are presented by way of illustration.

关 键 词：动态规划法 条元 平面试形状 空间曲面 CAGD 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] O24[自动化与计算机技术—计算机科学与技术]