フラクタル幾何学に基づく積層アーチの自動形状生成とその応用に関する研究

概要

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This paper describes the mathematical characteristics of a layered arch with fractal geometric form and its application to structure and architectural design. Fractal dimension of the structure is acquired from geometric formulae derived here and its value ranges from 1.0 to 1.24. Subsequently structural data for frame analysis are generated automatically using IFS(Iterated Function System) code. Analytical results show the stress distribution of the main beam of the layered arch is similar to a normal arch as a whole. The displacement of the arch at the roller supporting point is 5.68% larger than one of the normal arch to vertical loads when parameters related to the configuration θ and ε are 23° and 0.02. However the former become less than the later with increase of the rise angle. Finally the complex architectural space with self-similarity and non-integer dimension is visualized through a 3D design example.
社団法人日本建築学会の論文
2002-07-30