摘要
单层网格结构的网格划分标准不同于有限元网格的划分,它更侧重于以定性要求为标准的网格质量评价。为满足自由曲面单层网格杆件长度尽量一致、分布尽量均匀、过渡尽量流畅的要求,以自由曲面优化找形为前提,基于网格形状和单元长度的网格质量衡量标准,编制智能化网格设计程序。在整个布局设计过程中,首先通过拓扑不变的原则将空间问题转化为平面问题。其次,利用空间映射原理将在平面参考域上布置好的网格映射回三维空间曲面。最后,通过对初始拓扑网格进行智能化的修正和优化,保证所有杆件长度一致、网格布置美观的效果。通过在上海世博轴阳光谷工程中的实际应用证明,该方法操作简单,效果理想。且若采用不同拓扑关系布置的网格可以生成同样要求的最终杆件布置效果,供建筑师设计选用。
The grid quality standards of single-layer lattice shells are different from that of the FEM grid in that the former emphasizes more on qualitative demands.It is desired to have identical element length,well-distributed grids,and fluent lines.After the free-form surface shape optimization was carried out,intelligent grid design programs were devised based on mesh shape and element length standard.In the process of layout design,the space problem must firstly be turned into plane problem using topological invariant principle,then the grids should be mapped back onto the 3-D surface from the reference field.By intelligent correction and optimization of the initial grids on the 3-D surface,well-distributed grids will be obtained.The validity and practicability of this method are discussed for Sun Valley of Shanghai EXPO axis.It reveals that the same efficiency will be achieved using different topological grids,for designer＇s reference.The method was proved to be simple and effective.
出处
《土木工程学报》
EI
CSCD
北大核心
2011年第3期1-7,共7页
China Civil Engineering Journal
关键词
自由曲面
单层网格
拓扑结构
网格质量
free-form surface
single-layer lattice
topology structure
grid quality
