Abstract
The article is an original insight into interdisciplinary challenges of shaping innovative unconventional complex free form buildings roofed with multi-segment shell structures arranged with using novel parametric regular networks. The roof structures are made up of nominally plane thin-walled folded steel sheets transformed elastically and rationally into spatial shapes. A method is presented for creating such symmetric structures based on the regular spatial polyhedral networks created as a result of a composition of many complete reference tetrahedrons by their common flat sides and straight side edges arranged regularly and symmetrically in the three-dimensional Euclidean space. The use of the regularity and symmetry in the process of shaping different forms of (a) single tetrahedral meshes and whole consistent polyhedral structures, (b) individual plane walls and complex elevations, (c) single transformed folds, entire corrugated shell roofs, and their structures allow a creative search for attractive rational parametric solutions using a few author’s parametric algorithms and their implementation as built-in commands of the AutoCAD visual editor or applications of the Rhino/Grasshopper program.
Highlights
Thin-walled steel sheets are profiled in one direction to use them as members and coverings for roofing
It was associated with variety a greater of profiles the sheet profiles and dimensions of hyperbolic paraboloid shells
The analyzed segments were made of two layers of sheets located orthogonally quarters of a right hyperbolic paraboloid
Summary
Thin-walled steel sheets are profiled in one direction to use them as members and coverings for roofing. The specific feature of the investigated effective shape transformations is that they provide an easy shaping of various symmetric unconventional and rational shell-free forms of roofs, entire buildings, and their structural systems [10], Figure 5a,b. Straight or curved mustand appear between individual sheeting joined basic properties restrictions rational shapingshell of single single corrugated ruled shell-free forms transformed effectively, concerning the complexity of their shapes, including transversally towards their folds, Figure. Reichhart developed specific method forfold’s calculating arrangement length of the often because ofathe plasticity of the edges the between flanges and the webs
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