2021
DOI: 10.48550/arxiv.2104.07148
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Optimal vault problem -- form finding through 2D convex program

Abstract: This work puts forward a form finding problem of designing a least-volume vault that is a surface structure spanning over a plane region, which via pure compression transfers a vertically tracking load to the supporting boundary. Through a duality scheme, developed recently for the design of pre-stressed membranes, the optimal vault problem is reduced to a pair of mutually dual convex problems (P), (P * ) formulated on the 2D reference region. The vault constructed upon solutions of those problems is proved to… Show more

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References 46 publications
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