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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">30295</article-id><article-id pub-id-type="doi">10.22363/2312-8143-2021-22-3-283-292</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">Analytical surfaces for ship hulls</article-title><trans-title-group xml:lang="ru"><trans-title>Алгебраические поверхности для судовых корпусов</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9385-3699</contrib-id><name-alternatives><name xml:lang="en"><surname>Krivoshapko</surname><given-names>Sergey N.</given-names></name><name xml:lang="ru"><surname>Кривошапко</surname><given-names>Сергей Николаевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Technical Sciences, Professor of the Department of Civil Engineering, Academy of Engineering</p></bio><bio xml:lang="ru"><p>доктор технических наук, профессор департамента строительства, Инженерная академия</p></bio><email>sn_krivoshapko@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4023-156X</contrib-id><name-alternatives><name xml:lang="en"><surname>Ivanov</surname><given-names>Vyacheslav N.</given-names></name><name xml:lang="ru"><surname>Иванов</surname><given-names>Вячеслав Николаевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Technical Sciences, Professor of the Department of Civil Engineering, Academy of Engineering</p></bio><bio xml:lang="ru"><p>доктор технических наук, профессор департамента строительства, Инженерная академии</p></bio><email>i.v.ivn@mail.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="2021-12-30" publication-format="electronic"><day>30</day><month>12</month><year>2021</year></pub-date><volume>22</volume><issue>3</issue><issue-title xml:lang="en">VOL 22, NO3 (2021)</issue-title><issue-title xml:lang="ru">ТОМ 22, №3 (2021)</issue-title><fpage>283</fpage><lpage>292</lpage><history><date date-type="received" iso-8601-date="2022-02-24"><day>24</day><month>02</month><year>2022</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2021, Krivoshapko S.N., Ivanov V.N.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2021, Кривошапко С.Н., Иванов В.Н.</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="en">Krivoshapko S.N., Ivanov V.N.</copyright-holder><copyright-holder xml:lang="ru">Кривошапко С.Н., Иванов В.Н.</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/30295">https://journals.rudn.ru/engineering-researches/article/view/30295</self-uri><abstract xml:lang="en"><p style="text-align: justify;">The choice of optimal shape of ship hull surface is one of the main problems of ship architects and designs. A choice of the form is based on empirical formulae or on intuition of designers. In the article a method of determination of explicit algebraic equations of theoretical shape of ship hull with three main cross-sections given in advance and coinciding with the design waterline, the midship section, and with the main buttock line is given. The forms of the lines in the main cross-sections are chosen from conditions taken in advance. These surfaces are called hydrodynamic. A method is illustrated for three threes of main cross-sections of the ship hulls, i.e. nine hydrodynamic surfaces were constructed. All algebraic equations were converted to parametrical form for comfort of computer modelling. With their help, all nine ship surfaces proposed for the introduction were visualized. Having changed constants containing in the surface equations, i.e. correcting the forms of three main geometric parameters of ship hull, one can select the most rational shape of hull surface for the first approach. Further, it is possible to begin planning parallel middle bodies or to combine bow and stern extremities of a ship from different fragments of algebraic surfaces but with the same midship sections. In a paper, only geometrical problems of design of theoretical hull shape are described.</p></abstract><trans-abstract xml:lang="ru"><p style="text-align: justify;">Выбор оптимальной формы поверхности для судовых корпусов - одна из главных задач корабельных архитекторов и проектировщиков. Часто выбор формы основывается на эмпирических формулах или интуиции проектировщика. В статье приводится методика определения явных алгебраических уравнений теоретической формы корпуса судна с наперед заданными тремя главными поперечными сечениями, совпадающими с ватерлинией, главным батоксом и мидель-шпангоутом. Эти алгебраические поверхности названы гидродинамическими. Методика проиллюстрирована для трех троек главных сечений корпуса судна, то есть построены девять гидродинамических поверхностей. Для удобства компьютерного моделирования все явные алгебраические уравнения переведены в параметрическую форму. С их помощью визуализированы девять судовых поверхностей, предлагаемых к внедрению. Изменяя константы, содержащиеся в уравнениях поверхностей, то есть корректируя формы трех главных геометрических параметров корпуса судна, можно подобрать наиболее рациональную форму судовой поверхности в первом приближении, а затем приступить к планированию цилиндрических вставок или комбинировать носовую и кормовую оконечности судна из различных фрагментов алгебраических поверхностей, но с одинаковыми мидель-шпангоутами. Исследование охватывает только геометрические вопросы проектирования теоретической формы судна.</p></trans-abstract><kwd-group xml:lang="en"><kwd>hydrodynamic surface</kwd><kwd>buttock line</kwd><kwd>waterline</kwd><kwd>midship section</kwd><kwd>ship hull</kwd><kwd>optimization of shape</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>гидродинамическая поверхность</kwd><kwd>батокс</kwd><kwd>ватерлиния</kwd><kwd>мидель-шпангоут</kwd><kwd>судовой корпус</kwd><kwd>оптимизация формы</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">Morozov BN, Tzvetkov VV. On the question of choice of scheme of making bottom section of hulls. Vestnik RAEN. 2013;(7):80–85. (In Russ.)</mixed-citation><mixed-citation xml:lang="ru">Морозов В.Н., Цветков В.В. К вопросу выбора схемы изготовления днищевых секций корпусов // Вестник Российской академии естественных наук: сб. науч. тр. 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