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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Modeling of systems and processes</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Modeling of systems and processes</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Моделирование систем и процессов</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2219-0767</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">45387</article-id>
   <article-id pub-id-type="doi">10.12737/2219-0767-2021-14-2-54-66</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Технические науки</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject></subject>
    </subj-group>
    <subj-group>
     <subject>Технические науки</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Analysis by the mixed method of statically indeterminate frames with elements of increased rigidity and numerical verification of the calculation results using the finite element method</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Расчет смешанным методом статически неопределимых рам с элементами повышенной жесткости и численная проверка результатов расчетов с помощью метода конечных элементов</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Сазонова</surname>
       <given-names>Светлана Анатольевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Sazonova</surname>
       <given-names>Svetlana Anatol'evna</given-names>
      </name>
     </name-alternatives>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Асминин</surname>
       <given-names>Виктор Федорович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Asminin</surname>
       <given-names>Viktor Fedorovich</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Звягинцева</surname>
       <given-names>Алла Витальевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Zvyaginceva</surname>
       <given-names>Alla Vital'evna</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Воронежский государственный лесотехнический университет имени Г.Ф. Морозова</institution>
    </aff>
    <aff>
     <institution xml:lang="en">Voronezh State University of Forestry and Technologies named after G.F. Morozov</institution>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Воронежский государственный технический университет</institution>
    </aff>
    <aff>
     <institution xml:lang="en">Voronezh State Technical University</institution>
    </aff>
   </aff-alternatives>
   <volume>14</volume>
   <issue>2</issue>
   <fpage>54</fpage>
   <lpage>66</lpage>
   <history>
    <date date-type="received" iso-8601-date="2021-03-26T00:00:00+03:00">
     <day>26</day>
     <month>03</month>
     <year>2021</year>
    </date>
   </history>
   <self-uri xlink:href="https://naukaru.ru/en/nauka/article/45387/view">https://naukaru.ru/en/nauka/article/45387/view</self-uri>
   <abstract xml:lang="ru">
    <p>Приведена последовательность применения смешанного метода при расчете внутренних усилий в статически неопределимых рамах с элементами повышенной жесткости. Выбрана основная система для рамы с одним кинематическим и одним силовым неизвестным. Записаны канонические уравнения смешанного метода с учетом их смысла. Выполнено построение окончательной эпюры изгибающих моментов и все необходимые расчеты и проверки. При вычислении интегралов применяется правило Верещагина. Проверено решение задачи с помощью выполнения расчета по компьютерной программе STAB12.EXE численно проверены результаты расчетов с помощью метода конечных элементов. Приведен пример формирования исходных данных для программы STAB12.EXE и последующей обработки результатов расчетов, правила сравнения численных результатов и результатов, полученных при расчете рамы смешанным методом.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The sequence of application of the mixed method for calculating internal forces in statically indeterminate frames with elements of increased rigidity is given. The main system is chosen for the frame with one kinematic and one force unknown. The canonical equations of the mixed method are written, taking into account their meaning. Completed the construction of the final diagram of the bending moments and all the necessary calculations and checks. When calculating integrals, Vereshchagin's rule is applied. The solution of the problem is checked by performing the calculation using the computer program STAB12.EXE; the results of the calculations are numerically verified using the finite element method. An example of the formation of the initial data for the STAB12.EXE program and the subsequent processing of the calculation results, the rules for comparing the numerical results and the results obtained in the calculation of the frame by the mixed method are given.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Смешанный метод</kwd>
    <kwd>метод сил</kwd>
    <kwd>метод перемещений</kwd>
    <kwd>расчет рам</kwd>
    <kwd>статически неопределимые рамы</kwd>
    <kwd>метод конечных элементов</kwd>
    <kwd>эпюры</kwd>
    <kwd>опасные внутренние усилия</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Mixed method</kwd>
    <kwd>force method</kwd>
    <kwd>displacement method</kwd>
    <kwd>frame calculation</kwd>
    <kwd>statically indeterminate frames</kwd>
    <kwd>finite element method</kwd>
    <kwd>diagrams</kwd>
    <kwd>dangerous internal forces</kwd>
   </kwd-group>
  </article-meta>
 </front>
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