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Pipe-Z Optimization

Zawidzki, Machi

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.

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Pipe-Z Optimization

Zawidzki, Machi

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.

Pipe-Z Optimization

Zawidzki, Machi

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.

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Title:

Pipe-Z Optimization

Contributors:

Zawidzki, Machi (author)

Published in:

Discrete Optimization in Architecture ; 11-17

SpringerBriefs in Architectural Design and Technology

Publication date:

2016-07-22

Size:

7 pages

ISBN:

978-981-10-1109-2 , 978-981-10-1108-5

ISSN:

2199-580X , 2199-5818

DOI:

https://doi.org/10.1007/978-981-10-1109-2_2

Type of media:

Article/Chapter (Book)

Type of material:

Electronic Resource

Language:

English

Keywords:

Pipe-Z , Multicriterial optimization , Discrete optimization , Trapezoid-tiling , Domain visualization Engineering , Building Construction and Design , Computer-Aided Engineering (CAD, CAE) and Design , Structural Mechanics , Landscape/Regional and Urban Planning , Structural Materials

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