Parameterizing Tubular Hypar Umbrellas to Determine the Relative Stiffness Using Genetic Programming
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| Publicado en: | ProQuest Dissertations and Theses (2025) |
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ProQuest Dissertations & Theses
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| Acceso en línea: | Citation/Abstract Full Text - PDF |
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| Resumen: | The relative stiffness of thin-shell hyperbolic paraboloid (hypar) umbrellas, as pioneered by Félix Candela, serve as a starting point for designing ultra-light and ultra-stiff materials and structures. These iconic forms, celebrated for their structural efficiency, economical constructability, and aesthetic appeal, are reimagined here as novel tubular microarchitectures—polygonal hypar umbrellas that are combined with their inverted counterparts. Such advancements achieve high stiffness-to-weight ratios, significantly reducing material usage and embodied energy, addressing critical challenges in engineering and construction. This study investigates the geometric parameters influencing the relative stiffness of tubular umbrellas, focusing on their application in ultra-efficient compression designs. Over 1,100 hypar configurations were analyzed using finite element analysis (FEA), varying geometric properties such as relative rise, relative density, and number of edges. The sensitivity of these parameters to relative stiffness was analyzed to provide insights into their structural behavior to geometry ratio. Genetic programming (GP) was employed to derive closed-form equations that predict and elucidate the relative stiffness. These equations offer a practical framework for conceptualizing and optimizing N-edged hypar cells, enabling the translation of architectural forms into scalable, tessellating engineering solutions. Notably, hexagonal configurations were found to be the most efficient, achieving the largest relative stiffness for given relative rise and relative density values, with further increases observed as these parameters increased. By integrating FEA and GP, this study demonstrates the potential of parameterized hypar designs to develop high-performance materials and structures, pushing the boundaries of structural art and engineering. |
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| ISBN: | 9798315741121 |
| Fuente: | ProQuest Dissertations & Theses Global |