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Fractal Truss Structure and Automatic Form Generation Using Iterated Function System

Asayama, Shuichi; Mae, Toshifumi

This paper describes a couple of new truss structures based on fractal geometry. One is the famous Sierpinski Gasket and another is a fractal triangle derived by means of applying a process forming leaves of a cedar tree using M. F. Barnsley’s contraction mapping theory. Therefore a pair of x-y coordinates of an arbitrary nodal point on the structures are generated easily if IFS(Iterated Function System) codes and a scale of them are specified. Structural members are defined similarly. Thus data for frame analysis can be generated automatically, which is significant if the objective structure has complex configuration. Next analytical results under vertical and wind loadings in Japanese Building Code are shown. Here members are assumed to be timber and to have cross section of 15cm×15cm. Finally authors conclude that geometrically new truss structures were developed and automatic data generation for frame analysis was attained using IFS. Analytical results show they contribute to saving material when compared it with King-post truss.


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