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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">RUDN Journal of Engineering Research</journal-id><journal-title-group><journal-title xml:lang="en">RUDN Journal of Engineering Research</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Российского университета дружбы народов. Серия: Инженерные исследования</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2312-8143</issn><issn publication-format="electronic">2312-8151</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">4742</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</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">Difficulties for detecting the singular points with commercial programs in space structure and a method for determining the real capacity of the structures</article-title><trans-title-group xml:lang="ru"><trans-title>Трудности в определении предельных точек в коммерческих программах по пространственным конструкциям и предложение метода определения реальной прочности конструкции</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Heidari</surname><given-names>A</given-names></name><name xml:lang="ru"><surname>Хейдари</surname><given-names>Алиреза</given-names></name></name-alternatives><bio xml:lang="en">Department of Building Structures and Constructions Engineering faculty</bio><bio xml:lang="ru">Кафедра строительных конструкций и сооружений Инженерный факультет</bio><email>alborz.dimas@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Galishnikova</surname><given-names>V V</given-names></name><name xml:lang="ru"><surname>Галишникова</surname><given-names>Вера Владимировна</given-names></name></name-alternatives><bio xml:lang="en">Department of Building Structures and Constructions Engineering faculty</bio><bio xml:lang="ru">Кафедра строительных конструкций и сооружений Инженерный факультет</bio><email>galishni@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Mahmoudzadeh</surname><given-names>Kani I</given-names></name><name xml:lang="ru"><surname>Махмудзадэ</surname><given-names>Кани И</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples Friendship University of Russia</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Tehran University College of Engineering,University of Tehran</institution></aff><aff><institution xml:lang="ru">Тегеранский университет</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2013-01-15" publication-format="electronic"><day>15</day><month>01</month><year>2013</year></pub-date><issue>1</issue><issue-title xml:lang="en">NO1 (2013)</issue-title><issue-title xml:lang="ru">№1 (2013)</issue-title><fpage>100</fpage><lpage>108</lpage><history><date date-type="received" iso-8601-date="2016-09-07"><day>07</day><month>09</month><year>2016</year></date></history><permissions><copyright-statement xml:lang="ru">Copyright ©; 2013, Хейдари А., Галишникова В.В., Махмудзадэ К.И.</copyright-statement><copyright-year>2013</copyright-year><copyright-holder xml:lang="ru">Хейдари А., Галишникова В.В., Махмудзадэ К.И.</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/engineering-researches/article/view/4742">https://journals.rudn.ru/engineering-researches/article/view/4742</self-uri><abstract xml:lang="en">For design purposes, the stability of any structure being designed is of paramount importance. The fact that it is possible to perform an analysis on a space structure which shows that the stresses in that structure are all below those permissible for the materials used in its construction, is in itself no guarantee that when the structure is loaded it will not collapse. In order to determine this, it is necessary to find out if the structure is stable under the action of the applied loads. The secondary paths, especially in unstable buckling can play the most important role in collapse of the structure [2]. Analytical solutions for space trusses of the desired type which cover both nonlinear deformation and stability are difficult to find in the literature. In order to provide the desired benchmark, the complete theory and the exacl soulution for the nonlinear deformation and the stability of a regular tripod subjected to a load which acts in the direction of its axis of symmetry is presented in this work [1]. In this paper the dificulies for analysis the space structure in detecting the singular point and obtaining the real load carying capacity of these structures has been investigated and finaly a method for overcome to this problem has been presented. The numerical predictions in presented method has been verified with analytical soulotion in a space truss and and Laboratory results in a space frame.</abstract><trans-abstract xml:lang="ru">Обеспечение устойчивости конструкций при действии проектных нагрузок является важнейшей составной частью процесса их проектирования. Особое значение вопросы устойчивости имеют при проектировании легких стержневых пространственных конструкций. Для этого класса конструкций задача устойчивости должна обязательно решаться в нелинейной постановке с учетом развивающихся деформаций. Существует весьма ограниченное количество научных исследований, посвященных данной тематике. В настоящей статье приведен анализ проблем, возникающих при выявлении критических точек нелинейных траекторий нагружения пространственных стержневых конструкций и определении их действительной несущей способности, предложены методы решения задачи нелинейной устойчивости. Приведено сравнение полученных авторами численных результатов решения тестовых задач с аналитическим решением для трехстержневой пространственной фермы и результатами лабораторных испытаний модели стержневого купола.</trans-abstract><kwd-group xml:lang="en"><kwd>Space Structure</kwd><kwd>Singular Point</kwd><kwd>Eigenvalue Buckling Analysis</kwd><kwd>Post Buckling Analysis</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>пространственные конструкции</kwd><kwd>устойчивость</kwd><kwd>критическая точка</kwd><kwd>расчет на собственные значения</kwd><kwd>закритическое поведение конструкции</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Galishnikova G., Dunaiski P., Pahl P.J. Geometrically Nonlinear Analysis of Plane Trusses and Frames. — Sun Press, Stellenbosch, 2009.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Kani I.M., Heidari A. Automatic Two-Stage Calculation of Bifurcation Path of Perfect Shallow Reticulated Domes. ASCE // Journal of Structural Engineering. — 2007. — 133(2). — P. 185—194.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Gioncu V. Buckling of Reticulated Shells, State-of-the-Art // Int. J. of Space Structure. — 1995. — Vol. 10. — No. 1.</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Gourlay A.R., Watson G.A. Computational Methods for Matrix Eigenproblems. — Unwin Brothers limited, 1973.</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>ANSYS Registered in Peoples’ Friendship University of Russia, Moscow, Russia.</mixed-citation></ref></ref-list></back></article>
