从数学模型向力学模型的极小曲面薄壳的数字建构  

Digital Construction for Minimal Surface Shells from Mathematical Models to Mechanical Models

作　　者：苏朝浩[1,2,3] 张枢健 何永鹏 陈庆军 SU Chaohao;ZHANG Shujian;HE Yongpeng;CHEN Qingjun(School of Architecture,South China University of Technology,Guangzhou 510630,China;Architectural Design and Research Institute of SCUT Co.,Ltd.,Guangzhou 510630,China;State Key Laboratory of Subtropical Building Science,Guangzhou 510630,China;Department of Architecture and Civil Engineering,University of Bath,Bath BA27AY,UK;School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510630,China)

机构地区：[1]华南理工大学建筑学院,广州510630 [2]华南理工大学建筑设计研究院有限公司,广州510630 [3]亚热带建筑科学国家重点实验室,广州510630 [4]巴斯大学建筑与土木工程系,巴斯BA27AY [5]华南理工大学土木与交通学院,广州510630

出　　处：《工业建筑》2022年第9期53-59,79,共8页Industrial Construction

基　　金：国家自然科学基金项目(51308218);亚热带建筑科学国家重点实验室开放课题基金项目(2017ZB13);广东省住房和城乡建设厅研究开发项目(2021-K1-121149)。

摘　　要：极小曲面由数学公式及计算机算法生成,具有特别的数学美感和艺术状态,为建筑空间提供了新颖而丰富的创作题材。然而由于其形态复杂和极致轻薄,对结构设计以及曲面制作技术构成了高难度的挑战。从力学的角度切入,在分析力与形关系的基础上,采用定性分析与定量计算相结合,重点探讨和论证如何将数学模型向力学模型转换的概念和方法。并基于经济性考量,探讨如何通过参数化设计与计算机数字控制机床技术的结合,实现对极小曲面的分解、拟合、制作和拼装。作为一种量化试验的演示和技术路线初探,可为建筑参数化设计与力学协同生形的研究提供实证参考和理论线索。The minimal surface generated by mathematical formulas and algorithms,which has special mathematical aesthetic feelings and artistic states,provides novel and rich creative themes for architectural space.However,due to its high complexity of shapes,extreme lightweight masses and thin thickness,it poses a high challenge to structural design and curved surface fabrication.Based on the analysis of the relation between forces and shapes,the concepts and methods how to transform the mathematical model to the mechanical model by the experimental scheme combining qualitative analysis with quantitative calculations were discussed and demonstrated.Based on economic considerations,the problems how to decompose,fit,fabricate and assemble the minimal surface effectively through the combination of parametric design with Computer Numerical Control(CNC)technology were discussed.As a demonstration for quantitative experiments and preliminary explorations of technical routes,it could provide empirical reference and the problems theoretical pathes for the research on collaborative forming of architectural parametric design and structural mechanics.

关 键 词：极小曲面 结构找形 结构力学 极薄壳体 

分 类 号：TU201[建筑科学—建筑设计及理论]