Meshless Non-Parametric Shape Design of Piecewise Approximately Developable Surfaces Using Discretized Local Gauss Map

Author:

Hayakawa Kentaro1,Ohsaki Makoto2,Zhang Jingyao2

Affiliation:

1. M. Eng., Dept. of Architecture and Architectural Engineering, Kyoto University, Kyoto-Daigaku Katsura, Nishikyo, Kyoto 615-8540, Japan

2. Dr. Eng., Dept. of Architecture and Architectural Engineering, Kyoto University

Abstract

A meshless and non-parametric approach is proposed for shape design of curved surfaces consisting of approximately developable surface patches. A local Gauss map is defined at the grid point of a surface, and its developability is evaluated based on the area of the local Gauss map. An optimization problem is formulated for minimizing the sum of square areas of the local Gauss map at the grid points of the surface with specified boundary shape. Internal boundaries between the approximately developable surface patches are generated by relaxing the developability at the selected grid points. The effectiveness of the proposed method for generating various shapes of piecewise approximately developable surface is demonstrated in the numerical examples.

Publisher

International Association for Shell and Spatial Structures

Subject

Mechanical Engineering,Arts and Humanities (miscellaneous),Building and Construction,Civil and Structural Engineering

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. FORM GENERATION OF PIECEWISE DEVELOPABLE SURFACES USING EQUILIBRIUM EQUATIONS OF SHELLS;Journal of Structural and Construction Engineering (Transactions of AIJ);2024-08-01

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