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Published in:
2017 | OriginalPaper | Chapter
2. Pipe-Z Optimization
Author : Machi Zawidzki
Published in: Discrete Optimization in Architecture
Publisher: Springer Singapore
Abstract
This chapter outlines the optimization methodology for a single-branch tubular structure created with Pipe-Z system. In this process the geometrical properties of the Pipe-Z module (PZM), and the shape of the entire structure comprised of PZM replicas are simultaneously optimized. The total number of modules to follow a given guide path is minimized under constraints. The algorithm is illustrated with planar simplification of the three-dimensional problem. The results produced by random search are presented and discussed. Additionally, the search domain has been sampled and visualized. Finally, as an example for three-dimensional shape optimization, \(6_{3}\) knot is constructed with the minimal number of congruent modules.