（1 武汉大学土木建筑工程学院， 武汉 430072； 2 中南建筑设计院股份有限公司， 武汉 430070）

［摘要］自由曲面作为现代建筑的重要特征，越来越多地出现代建筑设计中，而如何在自由曲面上布置高质量的网格却始终是一个困难且复杂的问题。就这一问题提出了基于杆长均匀性的网格优化方法，详细介绍了该方法的基本流程和要点，并基于Rhino+Grasshopper平台编制了网格优化程序。通过三个优化实例证明了该方法简单易行、适用性强、效果理想，且能始终保证优化过程中网格与曲面的完美贴合。

［关键词］自由曲面； 网格优化； Rhino软件； 拓扑结构

中图分类号：TU311-41文献标识码：A文章编号：1002-848X(2019)23-0055-05

Research on mesh generation and optimization of single-layer lattice shell of free-form surface

Du Xinxi1, Yin Pengfei2, Zhang Shen2, Yuan Huanxin1

(1 School of Civil Engineering, Wuhan University, Wuhan 430072, China; 2 Central-south Architectural Design Institute Co., Ltd., Wuhan 430070, China)

Abstract:As an important feature of modern architecture, more and more free-form surfaces appeared in architectural design. However, it was a difficult and complex problem how to arrange high-quality mesh on free-form surface. A mesh optimization method based on uniformity of mesh edges′ length was proposed. The basic process and key points of this method were introduced in detail, and a mesh optimization program was developed based on Rhino + Grasshopper. Through three examples, it shows that this method is simple, practical, effective, and could always keep the vertices of the mesh on the reference surface during the optimization process.

Keywords:free-form surface; grid optimization; Rhino software; topology structure

作者简介：杜新喜，教授，博士生导师，Email:duxinxi@163.com。