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

SU Chao-hao; ZHANG Shu-jian; HE Yong-peng; CHEN Qing-jun

doi:10.13204/j.gyjzG21090209

Volume 52 Issue 9

Sep. 2022

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SU Chao-hao, ZHANG Shu-jian, HE Yong-peng, CHEN Qing-jun. Digital Construction for Minimal Surface Shells from Mathematical Models to Mechanical Models[J]. INDUSTRIAL CONSTRUCTION, 2022, 52(9): 53-59,79. doi: 10.13204/j.gyjzG21090209

Citation:

SU Chao-hao, ZHANG Shu-jian, HE Yong-peng, CHEN Qing-jun. Digital Construction for Minimal Surface Shells from Mathematical Models to Mechanical Models[J]. INDUSTRIAL CONSTRUCTION, 2022, 52(9): 53-59,79. doi: 10.13204/j.gyjzG21090209

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

doi: 10.13204/j.gyjzG21090209

1. School of Architecture, South China University of Technology, Guangzhou 510630, China;
2. Architectural Design and Research Institute of SCUT Co., Ltd., Guangzhou 510630, China;
3. State Key Laboratory of Subtropical Building Science, Guangzhou 510630, China;
4. Department of Architecture and Civil Engineering, University of Bath, Bath BA2 7AY, UK;
5. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510630, China

Received Date: 2021-09-02
Available Online: 2023-02-06

Abstract

Abstract

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.
- minimal surface,
- structural form-finding,
- structural mechanics,
- ultra-thin shell

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References(15)

References

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