Geometry of Self-Bearing Covering on Rectangular Plan

Berestova, S. A.; Александровна, Берестова Светлана; Misyura, N. E.; Евгеньевна, Мисюра Наталья; Mityushov, E. A.; Александрович, Митюшов Евгений

doi:10.22363/1815-5235-2017-4-15-18

Cited by 6 publications

(1 citation statement)

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“…Velaroidal shells are rarely found on a flat rectangular plan. Their median surfaces are outlined along the direct transfer surface with a generating curve, which changes its curvature during movement [22] and becomes a straight line on the contour. The efficient materialization of velaroidal (funicular) shells is particularly difficult.…”

Section: Rarely Used Analytical Surfacesmentioning

confidence: 99%

Analytical surfaces for architecture and engineering

Gil-oulbé

Daou

Mariko

2022

Struct. Mech. of Eng. Const. and Build

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Geometers have proposed more than 600 analytical surfaces for implementation. The largest number of these surfaces is used in architecture and mechanical engineering. Although digital architecture and free form architecture are now increasingly influencing the design of long-span shell structures and curved buildings, the research and application of analytical surfaces continues on an increasing scale. The purpose of the research is to study the state of affairs in the application of analytical surfaces in the construction and engineering industries and to clarify the classes of surfaces that have found application in the study of physical phenomena or in solving purely mathematical problems, but not used in other areas of human activity. Another goal is to find analytical surfaces promising for application in architecture and mechanical engineering, which are still little known to architects and engineers. It has been established that, as before, designers take new analytical surfaces to implement their creative ideas from well-studied classes of surfaces of revolution, transfer and umbrella, minimal, ruled, wavy surfaces.

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Section: Rarely Used Analytical Surfacesmentioning

confidence: 99%

Analytical surfaces for architecture and engineering

Gil-oulbé

Daou

Mariko

2022

Struct. Mech. of Eng. Const. and Build

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The comparison of velaroidal shell structures of square plane load bearing properties

Tupikova

Berdiev

2020

IOP Conf. Ser.: Mater. Sci. Eng.

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Velaroid surfaces is a class of analytical surfaces, formed by translating generatrix curves of variable curvature along the directrix curve of the same type, limited by plane contour lines. A new type of velaroidal shell –on the base of the catenary curve is introduced in this job, it’s surface equation obtained. The static structural analysis of the shells under equally distributed dead weight loading is conducted. Four types of structures of equal overall size and rising height were investigated: velaroidal shells on the base of catenary, parabola, ellipse, and sinusoid lines. The analysis is provided using the finite element method. The material has characteristics of reinforced concrete. The comparison revealed the peculiarities of each type of behavior under loading. The velaroidal shell with catenary generatrices demonstrates the most advantageous behavior under loading in the aspect of bending and membrane stresses ratio. This comparison is of interest for the potential introduction of such structures for roof elements.

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To the Question of the Classification for Analytical Surfaces

Strashnov

Rynkovskaya

2022

Geometry &Amp; Graphics

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Until this day, in scientific and technical literature there are descriptions of around 600 analytical surfaces, divided into 38 classes. In turn, it is possible to divide almost each class of surfaces into sub-classes, groups, or types, that is, to compose a classification for surfaces. It will make it easier their further study. For some classes of surfaces there is no sense to set up classification schemes, since these classes consist of a small number of surfaces, or the classification will contain a bare listing of surfaces. These surfaces can include minimal and one-sided surfaces, spiral and helical ones, surfaces of Ciceika and Edlinger, as well as undulating, wavy and corrugated surfaces, and several others. The "others" category includes surfaces which, although highlighted in separate classes, are few, or they are in the process of studying. The study of scientific literature has shown that a classification for revolution surfaces, as well as for transfer and Peterson ones has not yet been set up. This paper is devoted to these classes of analytical surfaces. As the study has showed, it is possible to draw interesting conclusions based on presented classifications. In this paper it has been shown how the appearance of scientific publications devoted to classification for surfaces promote the emergence of numerous works on application of relevant surfaces in architecture, construction, engineering, shipbuilding, light industry products, topography and cartography. But devotion to analytic surfaces’ geometric forms should not be an end in itself in actual practice. So, today architects are passionate about parametric architecture, which is based on knowledge of analytical surfaces’ geometry. However, some leading architects believe that the parametric architecture oversaturated the human life’s space, resulting in a style crisis. Despite architects and engineers’ conflicting opinions, geometers must go ahead of society's immediate demands, creating new forms, classifications, and proposals.

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Geometry of Self-Bearing Covering on Rectangular Plan

Cited by 6 publications

References 0 publications

Analytical surfaces for architecture and engineering

Analytical surfaces for architecture and engineering

The comparison of velaroidal shell structures of square plane load bearing properties

To the Question of the Classification for Analytical Surfaces

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