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非均匀有理B样条曲面形状优化方法

王磊 杨彬 张其林

湖南大学学报(自然科学版)2012,Vol.39Issue(7):14-19,6.
湖南大学学报(自然科学版)2012,Vol.39Issue(7):14-19,6.

非均匀有理B样条曲面形状优化方法

Shape Optimization of Non-uniform Rational B-spline Surface

王磊 1杨彬 1张其林1

作者信息

  • 1. 同济大学土木工程学院,上海200092
  • 折叠

摘要

Abstract

Based on computer-aided geometric design, the surface was reconstructed according to the given data points by means of non-uniform rational B^spline technique. With the aim of finding an optimum surface that meets the architectural intent data points, an adjustment method was presented, which takes minimum structural deformation under gravity as the objective function and data point's position as design variables. Gradient method was employed to modify the free form surface by adjusting design variables. The surface shape was modified iteratively according to data points' changes. The approach has been implemented into two projects and the feasibility of the approach was demonstrated.

关键词

自由形态/非均匀有理B样条/型值点/优化

Key words

free form/ non-uniform rational B-spline/ data point) optimization

分类

建筑与水利

引用本文复制引用

王磊,杨彬,张其林..非均匀有理B样条曲面形状优化方法[J].湖南大学学报(自然科学版),2012,39(7):14-19,6.

基金项目

国家科技支撑计划项目世博科技专项(2009BAK43B06) (2009BAK43B06)

湖南大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1674-2974

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