4.6 Article

Transformed Corrugated Shell Units Used as a Material Determining Unconventional Forms of Complex Building Structures

Journal

MATERIALS
Volume 14, Issue 9, Pages -

Publisher

MDPI
DOI: 10.3390/ma14092402

Keywords

systems of planes; parametric polyhedral networks; control tetrahedra; division coefficient method; corrugated shell roof units; complex substitute material; engineering computer models; free-form buildings

Funding

  1. Rzeszow University of Technology [PB26.BP.21.001]

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This article presents a novel approach to shaping complex roof structures by constructing polyhedral networks through algorithms, discussing the design of shell units' shape and location to effectively control static-strength properties, allowing for surpassing the limitations of traditional roof structures.
This article is an insight into interdisciplinary topics in the field of civil engineering, morphology, architecture, mechanics, and computer programming. A novel method for shaping unconventional complex roofs in which regular folded units transformed into various shells are used as a complex substitute material is proposed. The original method's algorithm for building systems of planes defining diversified polyhedral networks in the three-dimensional space by means of division coefficients of the subsequently determined vertices is presented. The algorithm is based on the proportions between the lengths of the edges of the reference network, the location and shape of the ruled shell units included in the designed complex roof structure, so it is intuitive. The shell units are made up of nominally flat folded sheets transformed effectively into shell forms whose static-strength properties are controlled by geometric quantities characteristic of ruled surfaces. The presented original approach to the shaping of the shell roof structures determining specific complex building forms allows us to go beyond the limitations related to the orthotropic structure of the folded roof sheeting and the shape transformations.

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