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Parametric design and structural analysis of sustainable bamboo grid shells in Mexico

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This paper presents a parametric tool development in Grasshopper, designed for the form finding and the structural analysis of translation-grid shells. This process began by updating to the Grasshopper interface the GEOG software code designed by doctor Juan Gerardo Oliva Salinas, as presented in the Univesität Stuttgart’s publication Über die Konstruktion von Gitterschalen[3], which calculates the coordinates of a grid shell-geometry generated by the translation of two catenary curves. By entering the desired wide span, height of apex and mesh width; the software calculates every Knot’s Cartesian coordinate, rod lengths, diagonals lengths and angles generated by each contiguous pair of rods in an orthogonal grid, assigning an ID number to each element and presenting them in a list as output. The resulting new Grasshopper definition calculates the geometry of a translation-grid shell generated by any given pair of curves, taking into account the structural system and its elements dimensions, standardizing every rod’s length. Afterwards, the structural analysis of the grid shell through the Karamba[2] Grasshopper plug in was added and thanks to the research projects led at the Structures Laboratory, it was possible to determine the mechanic properties of three different Mexican bamboo species: Guadua Angustifolia, Madake and Old Hamii[4]. These properties will be applied to realize a parametric digital analysis with the finite element method, in order to evaluate the deformations of grid shells constructed with bamboos.
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Keywords: Bamboo; Geometry generation; Grid shells; Parametric design; Rods and Knots; Sustainable

Document Type: Research Article

Affiliations: 1: Faculty of Architecture, Universidad Nacional Autónoma de México-UNAM Structures Laboratory, edificio anexo “Dr. Jesús Aguirre Cárdenas”, Ciudad Universitaria, México D.F. CP. 04510, México, Email: [email protected] 2: Faculty of Architecture, Universidad Nacional Autónoma de México-UNAM Structures Laboratory, edificio anexo “Dr. Jesús Aguirre Cárdenas”, Ciudad Universitaria, México D.F. CP. 04510, México, Email: [email protected] 3: Faculty of Architecture, Universidad Nacional Autónoma de México-UNAM Structures Laboratory, edificio anexo “Dr. Jesús Aguirre Cárdenas”, Ciudad Universitaria, México D.F. CP. 04510, México, Email: [email protected] 4: Faculty of Architecture, FES Acatlán-UNAM

Publication date: August 20, 2015

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