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Isoparametric line dividing grid generation method for free-form lattice shells |
| DING Hui1,2, LUO Yao-zhi1 |
1.Space Structure Research Centre, Zhejiang University, Hangzhou 310058, China; 2. Housing and Construction Bureau of Futian District, Shenzhen 518000, China |
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Abstract A new grid generation method named isoparametric line dividing method was proposed based on characteristics of tensor product surface. The method can be applied to free-form lattice shells. The algorithm process of the method was introduced and the main steps including the extraction and division of isoparametric line were explained. The problem arising when a part of the surface overlaps with another was solved by introducing a failure criterion. Grid quality evaluation standards were presented according to the requirement of lattice shell structure. Different kinds of free-form surfaces were meshed using the mapping method and isoparametric line dividing method respectively. The grids generated by these two methods were compared. The analysis results show that the isoparametric line dividing method can significantly improve the shape quality of the grids and the length uniformity of the member bars. The method can be applied to the modeling of free-form lattice shells.
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Published: 01 October 2014
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自由形态网壳结构网格生成的等参线分割法
基于自由曲面造型中普遍应用的B样条（B-spline）曲面的张量积特性,提出适用于自由形态网壳结构的网格生成方法——等参线分割法.介绍该方法的网格生成流程,阐述了该方法的关键步骤——等参线等弦长分割的算法实现,探讨了当曲面局部自相交时通过增加判断条件修正分割结果的方法.结合网壳结构的特殊要求,提出网格质量的评价标准.通过不同类型的自由曲面网格生成算例表明,采用该方法能够显著提高整体网格的形状质量和杆件长度的均匀性、统一性,适用于自由形态网壳结构的建模.
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| ［1］ 施法中.计算机辅助几何设计与非均匀有理B样条［M］.北京：高等教育出版社,1994.
［2］ 李娜,陆金钰,罗尧治.基于能量法的自由曲面空间网格结构光顺与形态优化方法［J］.工程力学,2011,28（10）： 243-249.
LI Na, LU Jin-yu, LUO Yao-zhi. Fairing and configuration optimization method of free-form space grid structures based on energy method ［J］. Engineering Mechanics, 2011,28（10）：243-249.
［3］ 李承铭,卢旦.自由曲面单层网格的智能布局设计研究［J］.土木工程学报,2011,44（3）： 17.
LI Cheng-ming, LU Dan. Study of intelligent layout design of single-layer lattice shell of free form surface ［J］. China Civil Engineering Journal, 2011,44（3）： 17.
［4］KNIPPERS J, HELBIG T. The Frankfurt Zeil grid shell ［C］∥Symposium of the International Association for Shell and Spatial Structures. Valencia： ［s.n.］, 2010: 1367-1378.
［5］ 公晓莺.空间结构曲面生成与网格划分技术研究［D］.杭州：浙江大学,2004.
GONG Xiao-ying. Research on generating free space surface and mesh technology ［D］. Hangzhou: Zhejiang
University, 2004.
［6］ 李娜,陆金钰,罗尧治.利用张力薄膜平衡特性构造自由曲面空间结构［J］.计算机辅助设计与图形学学报,2010（7）：1075-1081.
LI Na, LU Jin-yu, LUO Yao-zhi. Modeling free form space structures using equilibrium characteristics of tension membrane ［J］. Journal of Computer Aided Design and Computer Graphics, 2010(7): 1075-1081.
［7］ 傅波海.基于几何分解与铺砌的网格生成算法的研究［D］.南京：南京航空航天大学,2007.
FU Bo-hai. The research of meshing algorithm based on decomposition and paving ［D］. Nanjing: Nanjing University of Aeronautics and Astronautics, 2007.
［8］ VLADIMIR D L. Grid generation methods ［M］. 2nd ed. Dordrecht: Springer, 2010.
［9］ KADIVAR M H, SHARIFI H. Double mapping of isoparametric mesh generation ［J］. Computers and Structures, 1996, 59(3): 471-477.
［10］ 覃永宁.基于度量映射机制的NURBS曲面网格自适应生成研究及应用［D］.杭州：浙江大学,2006.
TAN Yong-ning. Based on measured mapping mechanism of the adaptive grid generation research and application of NURBS surface ［D］. Hangzhou: Zhejiang University, 2006.
［11］ LI N, LUO Y Z. New modeling technique for bionic space grid structures ［J］. International Journal of Advanced Steel Construction, 2009, 5(1): 113.
［12］ 施吉林,刘淑珍,陈桂芝.计算机数值方［M］.北京：高等教育出版社,1999.
［13］ SARRATE J, PALAU J, HUERTA A. Numerical representation of the quality measures of triangles and triangular meshes ［J］. Communications in Numerical Methods in Engineering, 2003, 19(7): 551-561. |
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