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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Structural Mechanics of Engineering Constructions and Buildings</journal-id><journal-title-group><journal-title xml:lang="en">Structural Mechanics of Engineering Constructions and Buildings</journal-title><trans-title-group xml:lang="ru"><trans-title>Строительная механика инженерных конструкций и сооружений</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1815-5235</issn><issn publication-format="electronic">2587-8700</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">21807</article-id><article-id pub-id-type="doi">10.22363/1815-5235-2019-15-4-299-307</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Theory of thin elastic shells</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Теория тонких оболочек</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Influence of the geometrical researches of ruled surfaces on design of unique structures</article-title><trans-title-group xml:lang="ru"><trans-title>Влияние геометрических исследований линейчатых поверхностей на создание уникальных сооружений</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Mamieva</surname><given-names>Iraida A.</given-names></name><name xml:lang="ru"><surname>Мамиева</surname><given-names>Ираида Ахсарбеговна</given-names></name></name-alternatives><bio xml:lang="en"><p>Assistant of the Department of Civil Engineering</p></bio><bio xml:lang="ru"><p>ассистент, департамент строительства, Инженерная академия</p></bio><email>mamieva-ia@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples’ Friendship University of Russia (RUDN University)</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2019-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2019</year></pub-date><volume>15</volume><issue>4</issue><issue-title xml:lang="en">VOL 15, NO4 (2019)</issue-title><issue-title xml:lang="ru">ТОМ 15, №4 (2019)</issue-title><fpage>299</fpage><lpage>307</lpage><history><date date-type="received" iso-8601-date="2019-09-22"><day>22</day><month>09</month><year>2019</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2019, Mamieva I.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2019, Мамиева И.А.</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="en">Mamieva I.A.</copyright-holder><copyright-holder xml:lang="ru">Мамиева И.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/structural-mechanics/article/view/21807">https://journals.rudn.ru/structural-mechanics/article/view/21807</self-uri><abstract xml:lang="en"><p>Aims of research. Due to the growing interest in the design, calculation and application of architectural structures and structures in the form of a variety of smooth and composite surfaces, it is interesting to illustrate the use of analytical surfaces, i.e. surfaces that can be defined by vector, parametric or explicit equations, in parametric architecture. Methods. Parametric design unlike other styles has a relationship with mathematics. This article continues the author’s series of works devoted to the application of analytical surfaces in architecture and engineering structures, the study of the influence of studies on the geometric of ruled surfaces on the creation of unique projects of large-span shell structures and buildings. The article provides a list of known analytical surfaces, and each surface is illustrated by a photo of only one real structure, outlined on this surface. Results. It turned out that only degenerate unfolding surfaces described in the scientific literature found application in the world. For those who are interested in the mathematical side of the design of analytical surfaces, their computer modeling, or more detailed information about the real structures in the form of the surfaces under consideration is a bibliography of 20 items.</p></abstract><trans-abstract xml:lang="ru"><p>Цель исследования, обусловленная ростом интереса к проектированию, расчету и применению архитектурно-строительных конструкций и сооружений в форме разнообразных гладких и составных поверхностей, - проиллюстрировать применение аналитических поверхностей, то есть поверхностей, которые можно задать векторными, параметрическими или явными уравнениями, в параметрической архитектуре. Методы. Параметрическое проектирование, в отличие от других стилей, имеет взаимосвязь с математикой. Эта статья продолжает серию работ автора, посвященных применению аналитических поверхностей в архитектуре и инженерных конструкциях, изучению влияния исследований по геометрии линейчатых поверхностей на создание уникальных проектов большепролетных оболочечных структур и зданий. В статье приводится перечень известных аналитических поверхностей, каждая из них иллюстрируется фотографией одного реального сооружения, очерченного по описываемой поверхности. Выводы. Выяснилось, что только вырожденные развертывающиеся поверхности, описанные в научной литературе, нашли применение в мире. Для тех, кто интересуется математической стороной проектирования аналитических поверхностей, их компьютерным моделированием или более подробными сведениями о реальных сооружениях в форме рассматриваемых поверхностей, приведена библиография из 20 наименований.</p></trans-abstract><kwd-group xml:lang="en"><kwd>ruled surface</kwd><kwd>zero Gaussian curvature surfaces</kwd><kwd>parametric architecture</kwd><kwd>surface geometry</kwd><kwd>forming surfaces</kwd><kwd>surface classification</kwd><kwd>shell structure</kwd><kwd>large-span shell structures</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>параметрическая архитектура</kwd><kwd>геометрия поверхностей</kwd><kwd>линейчатые поверхности</kwd><kwd>формообразование поверхностей</kwd><kwd>классификация линейчатых поверхностей</kwd><kwd>гауссова кривизна поверхностей</kwd><kwd>оболочка</kwd><kwd>большепролетные оболочечные структуры</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Krivoshapko S.N., Ivanov V.N. 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