<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">vestniktgasu</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Томского государственного архитектурно-строительного университета</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1607-1859</issn><issn pub-type="epub">2310-0044</issn><publisher><publisher-name>Tomsk State University of Architecture and Building</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.31675/1607-1859-2018-20-6-98-106</article-id><article-id custom-type="elpub" pub-id-type="custom">vestniktgasu-518</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>СТРОИТЕЛЬНЫЕ КОНСТРУКЦИИ, ЗДАНИЯ И СООРУЖЕНИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>BUILDING AND CONSTRUCTION</subject></subj-group></article-categories><title-group><article-title>ГЕОДЕЗИЧЕСКИЕ КУПОЛА  ИЗ ПАРНЫХ АРОК ОДНОГО РАДИУСА</article-title><trans-title-group xml:lang="en"><trans-title>TWIN GEODESIC DOMES WITH ONE RADIUS</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Травуш</surname><given-names>В. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Travush</surname><given-names>V. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>докт. техн. наук, профессор, академик, вице-президент РААСН.</p><p>107031, г. Москва, ул. Большая Дмитровка, 24, стр. 1.</p></bio><bio xml:lang="en"><p>DSc, Professor, Vice-President RAAСS.</p><p>24, Bol'shaya Dmitrovka, 107031, Moscow.</p></bio><email xlink:type="simple">travush@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Антошкин</surname><given-names>В. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Antoshkin</surname><given-names>V. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>докт. техн. наук, доцент.</p><p>430005, г. Саранск, ул. Большевистская, 68.</p></bio><bio xml:lang="en"><p>DSc, A/Professor, Head of Department of Building Structures and Motor Road.</p><p>68, Bolshevistskaya Str., 430005, Saransk.</p></bio><email xlink:type="simple">antovd@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Святкина</surname><given-names>А. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Svyatkina</surname><given-names>A. Y.</given-names></name></name-alternatives><bio xml:lang="ru"><p>аспирант.</p><p>430005, г. Саранск, ул. Большевистская, 68.</p></bio><bio xml:lang="en"><p>Research Assistant.</p><p>68, Bolshevistskaya Str., 430005, Saransk.</p></bio><email xlink:type="simple">asf.arch_i_dizain@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Российская академия архитектуры и строительных наук.</institution><country>Россия</country></aff><aff xml:lang="en"><institution>The Russian Academy of Architecture and Construction Sciences.</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Мордовский государственный университет им. Н.П. Огарева.</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Ogarev Mordovia State University.</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>01</day><month>01</month><year>2019</year></pub-date><volume>0</volume><issue>6</issue><fpage>98</fpage><lpage>106</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Травуш В.И., Антошкин В.Д., Святкина А.Ю., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Травуш В.И., Антошкин В.Д., Святкина А.Ю.</copyright-holder><copyright-holder xml:lang="en">Travush V.I., Antoshkin V.D., Svyatkina A.Y.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestnik.tsuab.ru/jour/article/view/518">https://vestnik.tsuab.ru/jour/article/view/518</self-uri><abstract/><trans-abstract xml:lang="en"/><kwd-group xml:lang="ru"><kwd>орная сферическая оболочка</kwd><kwd>арка</kwd><kwd>геометрическая сеть</kwd><kwd>описанная окружность</kwd><kwd>правильный сферический многогранник</kwd><kwd>разрезка</kwd><kwd>купол</kwd><kwd>покрытие</kwd><kwd>оптимизация</kwd><kwd>конструкция</kwd><kwd>технология</kwd></kwd-group><kwd-group xml:lang="en"><kwd>precast spherical shell</kwd><kwd>arch</kwd><kwd>geometric network</kwd><kwd>described circle</kwd><kwd>regular spherical polyhedron</kwd><kwd>cutting</kwd><kwd>dome</kwd><kwd>coating</kwd><kwd>optimization</kwd><kwd>construction</kwd><kwd>technology</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Антошкин В.Д. К задаче формирования треугольной сети на сфере с узлами на одном уровне//International Journal for Computational Civil and Structural Engineering. 2017. Т. 13. № 2. С. 154–160.</mixed-citation><mixed-citation xml:lang="en">Antoshkin V.D. Тhe problem of emplacement of triangular geometric net on the sphere with nodes on the same level. International Journal for Computational Civil and Structural Engineering. 2017. V. 13. No. 2. Pp. 154–160.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Антошкин В.Д. Эффективные конструктивно-технологические решения сборных сферических куполов // Региональная архитектура и строительство. 2015. № 3 (24). С. 112–121.</mixed-citation><mixed-citation xml:lang="en">Antoshkin V.D. Effektivnye konstruktivno-tekhnolo-gicheskie resheniya sbornykh sfericheskikh kupolov [Effective constructively-technological solutions for prefabricated spherical domes]. Regional'naya arkhitektura i stroitel'stvo. 2015. No. 3 (24). Pp. 112–121. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Антошкин В.Д., Гудожников С.С., Перфильева О.И., Ерофеева И.В. Перспективные конструктивно-технологические решения сборных сферических оболочек // Актуальные вопросы архитектуры и строительства: материалы Тринадцатой Международной научно-технической конференции: в 2 ч. 2014. С. 4–15.</mixed-citation><mixed-citation xml:lang="en">Antoshkin V.D., Gudozhnikov S.S., Perfilieva O.I., Erofeeva I.V. Perspektivnye konstruktivno-tekhnologicheskie resheniya sbornykh sfericheskikh obolochek [Advanced technological solutions for prefabricated spherical shells]. Aktual'nye voprosy arkhitektury i Stroitel'stva: materialy Trinadtsatoi Mezhdunarodnoi nauchno-tekhnicheskoi konferentsii: v 2 ch. (Proc. 13th Int. Sci. Conf. ‘Relevant Problems of Architecture and Construction’). 2014. Pp. 4–15. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Антошкин В.Д., Коновалов А.Г. Сборные сферические оболочки из шестиугольных панелей // Огарёв-Online. 2015. № 13 (54). С. 6.</mixed-citation><mixed-citation xml:lang="en">Antoshkin V.D., Konovalov A.G. Sbornye sfericheskie obolochki iz shestiugol'nykh panelei [Prefabricated spherical shell of hexagonal panels]. Ogarev-Online. 2015. No. 13 (54). P. 6. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Антошкин В.Д., Курбаков Г.В., Бочкин В.С. Способ монтажа криволинейной конструкции // Stredoevropsky Vestnik proVedu a Vyzkum. 2015. Т. 83. С. 1.</mixed-citation><mixed-citation xml:lang="en">Antoshkin V.D., Kurbakov G.V., Bochkin V.S. Sposob montazha krivolineinoi konstruktsii [Method of installation of curved design tredoevropsky]. Vestnik pro Vedu a Vyzkum. 2015. V. 83. P. 1. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">А.с. №1661316 (СССР). Стыковое соединение деревянных элементов / В.Д. Антошкин, В.Г. Курганский. Опубл. 09.11.1988.</mixed-citation><mixed-citation xml:lang="en">Antoshkin V.D., Kurganskii V.G. Stykovoe soedinenie derevyannykh elementov [Joint connection of wooden elements]. Author's Certificate. N 1661316. 1988. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Ежов Е.Ф., Юркин Ю.В., Антошкин В.Д., Ежов В.Е. Построение линии влияния в трехшарнирных арках // Современные технологии строительных материалов и конструкций: материалы Всероссийской научно-технической конференции, посвященной 150-летию со дня рождения академика В.Г. Шухова. Саранск, 2003. С. 160–164.</mixed-citation><mixed-citation xml:lang="en">Ezhov E.F., Yurkin Yu.V., Antoshkin D.V., Ezhov E.V. Postroenie linii vliyaniya v trekhsharnirnykh arkakh [Influence lines in three-link arches]. Sovremennye tekhnologii stroitel'nykh materialov i konstruktsii: materialy Vserossiiskoi nauchno-tekhnicheskoi konferentsii, posvyashchennoi-letiyu so dnya rozhdeniya akademika V.G. Shukhova (Proc. All-Russ. Sci. Conf. ‘Modern Technologies of Construction Materials’). Saransk, 2003. Pp. 160–164. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Пат. 129534, Российская Федерация. Сборная сферическая оболочка / В.И. Травуш, В.Д. Антошкин, В.Т. Ерофеев. Опубл. 27.07.2013.</mixed-citation><mixed-citation xml:lang="en">Travush V.I., Antoshkin V.D., Yerofeev V.T. Sbornaya sfericheskaya obolochka [Assemblable spherical shell]. Patent Rus. Fed. N 129534. 2013. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Пат. 2520192, Российская Федерация. Сборная сферическая оболочка / В.И. Травуш, В.Д. Антошкин, В.Т. Ерофеев. Опубл. 06. 27.2013.</mixed-citation><mixed-citation xml:lang="en">Travush V.I., Antoshkin V.D., Yerofeev V.T. Sbornaya sfericheskaya obolochka [Assemblable spherical shell]. Patent Rus. Fed. N 2520192.2013. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Пат. 2564545, Российская Федерация. Сборная сферическая оболочка / В.И. Травуш, В.Д. Антошкин, И.В. Ерофеева, Д.В. Антошкин. Опубл. 28.07.2014.</mixed-citation><mixed-citation xml:lang="en">Travush V.I., Antoshkin V.D., Erofeeva I.V., Antoshkin D.V. Sbornaya sfericheskaya obolochka [Assemblable spherical shell]. Patent Rus. Fed. N 2564545 . 2014. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Травуш В.И., Антошкин В.Д., Ерофеев В.Т., Гудожников С.С. Современные конструктивно-технологические решения сферических оболочек // Строительство и реконструкция. 2012. № 6 (44). С. 45–55.</mixed-citation><mixed-citation xml:lang="en">Travush V.I., Antoshkin V.D., Yerofeev V.T., Gudoshnikov S.S. Sovremennye konstruktivno-tekhnologicheskie resheniya sfericheskikh obolochek [Modern constructive and technological solutions of spherical shells]. Stroitel'stvo i rekonstruktsiya. 2012. No. 6 (44). Pp. 45–55. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Травуш В.И., Антошкин В.Д., Ерофеев В.Т., Гудожников С.С. Конструктивно-техноло­гические возможности сборных сферических оболочек // Строительство и реконструкция. 2013. № 6 (50). С. 36–48.</mixed-citation><mixed-citation xml:lang="en">Travush V.I., Antoshkin V.D., Yerofeev V.T., Gudoshnikov S.S. Konstruktivno-tekhnolo­gicheskie vozmozhnosti sbornykh sfericheskikh obolochek [Constructive-technological capabilities of assemblable spherical shells]. Stroitel'stvo i rekonstruktsiya. 2013. No. 6 (50). Pp. 36–48. (rus)</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Travush V.I., Antoshkin V.D. The problem 7 forming train-gular geometric line field // MATEC Web of Conferences. 2016.86, 010. DOI: 10.1051/matecconf/20168601032</mixed-citation><mixed-citation xml:lang="en">Travush V.I., Antoshkin V.D. The problem 7 forming triangular geometric line field. MATEC Web of Conferences. 2016 No. 86, P. 010. DOI: 10.1051/matecconf/20168601032</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Travush V.I., Antoshkin V.D. The problem 4 of placement triangular geometric line field // MATEC Web of Conferences. 2016. 86, 010. DOI: 10.1051/matecconf/20168601031</mixed-citation><mixed-citation xml:lang="en">Travush V.I., Antoshkin V.D. The problem 4 of placement triangular geometric line field. MATEC Web of Conferences. 2016 No. 86, P. 010. DOI:10.1051/matecconf/20168601031</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Тravush V.I., Antoshkin V.D. To the problem 5 of emplacement of triangular geometric net on the sphere // MATEC Web of Conferences. 2017. 106, 02003. DOI: 10.1051/matecconf./201710602012</mixed-citation><mixed-citation xml:lang="en">Тravush V.I., Antoshkin V.D. To the problem 5 of emplacement of triangular geometric net on the sphere. MATEC Web of Conferences. 2017. No. 106. P. 02003. DOI: 10.1051/matecconf/.201710602012</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Travush V.I., Antoshkin V.D. To the problem 6 of emplace-ment of triangular geometric net on the sphere // MATEC Web of Conferences. 2017. 106, 02012. DOI: 10.1051/matecconf/201710602012</mixed-citation><mixed-citation xml:lang="en">Travush V.I., Antoshkin V.D. To the problem 6 of emplacement of triangular geometric net on the sphere. MATEC Web of Conferences. 2017. No. 106. P. 02012. DOI: 10.1051/matecconf/201710602012</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Software Scilab 5.4.1 – The free platform for Numerical Computation 06.17.2014. URL: www.softkumir.ru/index</mixed-citation><mixed-citation xml:lang="en">Software Scilab 5.4.1. The free platform for numerical computation. Available: www.softkumir.ru/index.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Granino A. Korn Mathematical handbook: For scientists and engineers, 1968.</mixed-citation><mixed-citation xml:lang="en">Korn G.A. Mathematical handbook for scientists and engineers, 1968.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
