Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Freeform Surfaces in Architectural and Structural Design
Freeform surfaces, unlike traditional linear surfaces and surfaces of revolution, are used in modern architecture in the design of structures of various shaping. If the surface to be designed does not have large gradients relative to some base plane xy, both bicubic polynomials from scalar quantities x, y and surface patches in Bezier form can be used for its modeling. The most natural shape of the surface comes about when the skeleton of the constructed surface is formed by physical splines (elastic elements passing through the given points). The paper deals with experimental evaluation of deflection effect on the accuracy of approximation of physical splines by composite cubic curves. An algorithm for the bicubic surface formation on a fixed skeleton has been developed to reduce the size of the characteristic matrix of the constructed surface by almost two times. A comparative analysis of advantages and disadvantages of mathematical models of surfaces formed by bicubic and Bezier patches is performed. The authors provide examples of composite surfaces modeling on a fixed skeleton. The relevance of the work is due to the widespread use of curvilinear shapes in architectural design, the emergence of new building materials and the introduction of digital technology in design.
Freeform Surfaces in Architectural and Structural Design
Freeform surfaces, unlike traditional linear surfaces and surfaces of revolution, are used in modern architecture in the design of structures of various shaping. If the surface to be designed does not have large gradients relative to some base plane xy, both bicubic polynomials from scalar quantities x, y and surface patches in Bezier form can be used for its modeling. The most natural shape of the surface comes about when the skeleton of the constructed surface is formed by physical splines (elastic elements passing through the given points). The paper deals with experimental evaluation of deflection effect on the accuracy of approximation of physical splines by composite cubic curves. An algorithm for the bicubic surface formation on a fixed skeleton has been developed to reduce the size of the characteristic matrix of the constructed surface by almost two times. A comparative analysis of advantages and disadvantages of mathematical models of surfaces formed by bicubic and Bezier patches is performed. The authors provide examples of composite surfaces modeling on a fixed skeleton. The relevance of the work is due to the widespread use of curvilinear shapes in architectural design, the emergence of new building materials and the introduction of digital technology in design.
Freeform Surfaces in Architectural and Structural Design
Lecture Notes in Civil Engineering
Radionov, Andrey A. (Herausgeber:in) / Ulrikh, Dmitrii V. (Herausgeber:in) / Timofeeva, Svetlana S. (Herausgeber:in) / Alekhin, Vladimir N. (Herausgeber:in) / Gasiyarov, Vadim R. (Herausgeber:in) / Korotkiy, V. A. (Autor:in) / Usmanova, E. A. (Autor:in) / Khmarova, L. I. (Autor:in)
International Conference on Construction, Architecture and Technosphere Safety ; 2023 ; Sochi, Russia
05.03.2024
12 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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