Digital Construction of Large-Size Minimal Surface: Transformation from Mathematical Model to Mechanical Model

Abstract

Under the background of digitization, the basic algorithm of minimal surface provides novel and rich creative themes for architectural design. However, due to the high complexity and extreme thinness, how to convert the mathematical model to the mechanical model has become the biggest challenge in the application of large-size minimal surface. On the basis of analysing the relation between force and form, this paper explores and verifies the concept and method of transforming mathematical model into mechanical model by combining qualitative analysis and quantitative calculation. Combined with a work named “Yunjian Linglong” and the related experiments, it provides theoretical clues for the technical route of highly complex heteromorphic hyperboloid, and empirical reference value for the cooperation between shape design and structural design under the digital background.