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id cf2019_068
authors Md Rian, Iasef
year 2019
title IFS-Based Computational Morphogenesis of a Hierarchical Trussed Beam
source Ji-Hyun Lee (Eds.) "Hello, Culture!"  [18th International Conference, CAAD Futures 2019, Proceedings / ISBN 978-89-89453-05-5] Daejeon, Korea, pp. 552-564
summary This paper applies IFS (Iterated Function System) as a rule-based computational modeling process for modeling a hierarchical truss beam inspired by the concept of fractal geometry. IFS is a type of recursive algorithm, which repeatedly uses the outcome as a input for an affine transformation function in generating a fractal shape, i.e., a complex shape which contains the self-similar repetitions of the overall shape in its parts. Hierarchical trusses also follow a similar geometric configuration. IFS-based computational modeling, hence, allows us to parametrically morph a parent model, thus repeat the same morphing to all its self-similar parts automatically. This IFS-based morphogenesis opens a possibility to find an optimal configuration of a hierarchical truss structurally. In this parametric modeling process, the iteration number is a unique geometric parameter. This paper uses two geometric variables (iteration number and angle) to find the most efficient design of a hierarchical truss beam through an optimization process.
keywords hierarchical truss, fractal geometry, IFS, computational design
series CAAD Futures
email
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100%; open Asayama, S. and Mae, T. (2004) Find in CUMINCAD Fractal Truss Structure and Automatic Form Generation Using Iterated Function System , Proceeding of ICCCBE-X; Weimar

100%; open Barnsley, M. F. (2014) Find in CUMINCAD Fractals everywhere , Cambridge: Academic press

100%; open Cheung, K. C., and Gershenfeld, N. (2013) Find in CUMINCAD Reversibly assembled cellular composite materials , Science

100%; open Mandelbrot, B. B. (1982) Find in CUMINCAD The fractal geometry of nature , New York: WH freeman

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100%; open Meza, L. R., and Greer, J. R. (2014) Find in CUMINCAD Mechanical characterization of hollow ceramic nanolattices , Journal of materials science

100%; open Rian, I. M., & Sassone, M. (2014) Find in CUMINCAD Fractal-Based Generative Design of Structural Trusses Using Iterated Function System , International Journal of Space Structures

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