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自由曲面在建筑上的应用日益广泛,研究自由曲面的网格划分有着重要意义.以保证杆件长度完全相等为准则,基于NURBS提出了一种适用于大多数自由曲面的四边形网格划分算法,介绍了算法的基本流程和要点.本算法采用二分法进行数值计算,思路简单、效率良好,能够快速地对自由曲面进行网格划分.结合实例可以看到,本算法生成的网格杆件长度相等,同时能保证网格形状的相对规整,对坡度较陡的自由曲面和不规则边界有着良好的适应性.
Freeform surface is widely used in architecture and it is very important to study the meshing of freeform surface.Thirdly, based on NURBS, a quadrilateral meshing algorithm suitable for most freeform surfaces is proposed, The basic flow and key point of the algorithm are introduced.The algorithm uses the dichotomy method to calculate the numerical value, which has a simple idea and good efficiency and can mesh the freeform surface quickly.According to the example, we can see that the length of the grid element generated by this algorithm Equal, at the same time to ensure the relative regularity of the grid shape, steep freeform surfaces and irregular boundaries have a good adaptability.