Influence of the Geometrical Researches of Rare Type Surfaces on Design of New and Unique Structures

Mamieva, Iraida A.; GBAGUIDI-AISSE, G.L.

doi:10.33979/2073-7416-2019-85-5-23-34

Cited by 8 publications

(2 citation statements)

References 1 publication

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“…Известны работы [2][3][4], где дается общая классификация известных аналитических поверхностей в графической форме, куда входят и линейчатые поверхности. Но эти классификации не полны, так как не дают всеобъемлющей информации о линейчатых поверхностях и содержат сведения только о поверхностях, нашедших применение в архитектуре, строительстве и машиностроении.…”

Section: аннотацияunclassified

Analytical ruled surfaces and their complete classification

Кривошапко

Николаевич²

2020

Struct. Mech. of Eng. Const. and Build

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The aim of the work - to give the possibility to expand mind of designers and architects projecting structures in the form of traditional and non-canonical ruled surfaces. These surfaces have several unquestionable advantages with a point of view of their forming, designing, and making of factory-made goods and erections in the form of ruled surfaces and analysis methods. Methods. Choosing ruled surfaces for classification, one can use methods of their determination by vector, parametrical, implicit, and in explicit equations. Only analytical ruled surfaces are considered which were examined and presented in scientific-and-technical literature. Results. All known at present time ruled surfaces are given in a graphic form. The determinations of some little known ruled surfaces are presented in a paper. The original sources, where these surfaces are examined or their application in real structures and erections are considered, or methods of determination of stress-strain state in thin-walled shells with ruled middle surfaces are presented, are given in references.

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Section: аннотацияunclassified

Analytical ruled surfaces and their complete classification

Кривошапко

Николаевич²

2020

Struct. Mech. of Eng. Const. and Build

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“…Analytical surfaces are well represented in electronic libraries. 1 Many works are devoted to the use of analytical surfaces in architecture [1] and mechanical engineering [10][11][12][13], apparently, for the first time tried to find out the analytical surfaces most often used by architects and to establish cases of a single application in practice of some well-known analytical surfaces to geometers.…”

Section: Introductionmentioning

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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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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Influence of the Geometrical Researches of Rare Type Surfaces on Design of New and Unique Structures

Cited by 8 publications

References 1 publication

Analytical ruled surfaces and their complete classification

Analytical ruled surfaces and their complete classification

Analytical surfaces for architecture and engineering

To the Question of the Classification for Analytical Surfaces

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