|本期目录/Table of Contents|

[1]徐彦,关富玲,管瑜,等.薄膜结构曲面几何性质研究[J].建筑科学与工程学报,2005,22(04):72-76.
　XU Yan,GUAN Fu-ling,GUAN Yu.Research on geometry property of membrane structure curved surface[J].Journal of Architecture and Civil Engineering,2005,22(04):72-76.
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薄膜结构曲面几何性质研究(PDF)
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《建筑科学与工程学报》[ISSN:1673-2049/CN:61-1442/TU]

卷:
22卷
期数:
2005年04期
页码:
72-76
栏目:
出版日期:
2006-12-20

文章信息/Info

Title:
Research on geometry property of membrane structure curved surface
作者:
徐彦;关富玲;管瑜;
浙江大学 空间结构研究中心,浙江 杭州 310027
Author(s):
XU Yan, GUAN Fu-ling, GUAN Yu
Space Structure Research Center, Zhejiang University, Hangzhou 310027, China
关键词:
薄膜结构;  非线性有限元法;  曲率;  微分几何
Keywords:
membrane structure;  nonlinear FEM;  curvature;  differential geometry
分类号:
TU381
DOI:
-
文献标志码:
A
摘要:
采用非线性有限元法进行了膜结构的形态分析和荷载分析,得到了曲面有限元网格; 通过离散微分几何方法,研究了薄膜结构曲面的几何性质,包括曲面的法线向量、高斯曲率、平均曲率和主方向矢量,避免了复杂的曲面拟合过程。几何性质研究对优化分析方法,选择裁剪样式,分析裁剪误差都具有重要意义。最后通过算例表明:该方法能够快捷、精确地研究薄膜结构曲面的几何性质,对更合理地设计薄膜结构具有重要意义。
Abstract:
The shape-form analysis and load analysis were done by nonlinear FEM. On the basis of surface FEM grid nodes, geometry property research of structure curved surface was progressed, including normal vector, GAUSS curvature, mean curvature and principal direction vector. In this process, the approximate expression of surface didn't need to be known. The research of surface geometry property was useful for the optimization of analyzed method, the selection of cutting pattern mode and the analysis of cutting pattern error. The results show that the geometry property of structure curved surface can be gained by the method and will help to design this kind of structure.

参考文献/References:

[1] GERLIC L.Geometrical aspects of surface in the membrane structures designing[A].IASS[C].Warsaw:Polish Academy of Sciences,2002.883-886.
[2] 杨耀乾.薄壳理论[M].北京:中国铁道出版社,1981.15-75.
[3] 饶正清.不等应力薄膜结构形态优化初探[D].北京:北京交通大学,2004.
[4] 毛 昕,马明旭,王哲英.曲面片的可展性能及其应用[J].工程图学学报,2002,22(2):133-138.

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备注/Memo

备注/Memo:
收稿日期:2005-07-21
作者简介:徐 彦(1982-),男,浙江常山人,工学博士研究生.E-mail:xyzs@zju.edu.cn
更新日期/Last Update: 2006-12-20