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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Proceedings of Petersburg Transport University</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Proceedings of Petersburg Transport University</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Известия Петербургского университета путей сообщения</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">1815-588X</issn>
   <issn publication-format="online">2658-6851</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">92780</article-id>
   <article-id pub-id-type="doi">10.20295/1815-588X-2024-04-874-890</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Общетехнические задачи и пути их решения</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>GENERAL TECHNICAL PROBLEMS AND SOLUTION APPROACH</subject>
    </subj-group>
    <subj-group>
     <subject>Общетехнические задачи и пути их решения</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Physical modeling as a verification tool for geomechanical tasks solving</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Физическое моделирование как инструмент верификации при решении задач геомеханики</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Сокорнов</surname>
       <given-names>Антон Александрович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Sokornov</surname>
       <given-names>Anton Aleksandrovich</given-names>
      </name>
     </name-alternatives>
     <email>scarlunch@mail.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Коньков</surname>
       <given-names>Александр Николаевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kon'kov</surname>
       <given-names>Aleksandr Nikolaevich</given-names>
      </name>
     </name-alternatives>
     <email>ankonkov@yandex.ru</email>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I St. Petersburg State Transport University</institution>
     <city>Saint-Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I Petersburg State Transport University</institution>
     <city>Saint-Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2024-12-27T00:00:00+03:00">
    <day>27</day>
    <month>12</month>
    <year>2024</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2024-12-27T00:00:00+03:00">
    <day>27</day>
    <month>12</month>
    <year>2024</year>
   </pub-date>
   <volume>21</volume>
   <issue>4</issue>
   <fpage>874</fpage>
   <lpage>890</lpage>
   <history>
    <date date-type="received" iso-8601-date="2024-12-26T00:00:00+03:00">
     <day>26</day>
     <month>12</month>
     <year>2024</year>
    </date>
   </history>
   <self-uri xlink:href="https://itt-pgups.ru/en/nauka/article/92780/view">https://itt-pgups.ru/en/nauka/article/92780/view</self-uri>
   <abstract xml:lang="ru">
    <p>Цель: выполнить верификацию математической модели участка сопряжения перегонного и станционного тоннеля метрополитена путем создания физической модели методом эквивалентных материалов. Проанализировать формирование вертикальных нагрузок от горного давления на обделку тоннелей с учетом выбранной последовательности производства работ. По результатам моделирования сделать вывод о влиянии станционного тоннеля и торцевой стены на напряженно-деформированное состояние обделки перегонного тоннеля, определить размеры этой области влияния. Методы: метод конечных элементов в комбинации с аналитическим методом (математическое моделирование), метод эквивалентных материалов (физическое моделирование). Результаты: выявлены закономерности распределения нагрузок от вертикального горного давления на обделку перегонного тоннеля на участке сопряжения с пилонной станцией глубокого заложения. Установлено, что на подходе к торцевой стене станции обделка перегонного тоннеля воспринимает вертикальную нагрузку от горного давления, превышающую нагрузку на обделку вне области влияния станции примерно в 2–4 раза. При этом установлено, что начальные деформации станционной выработки приводят к увеличению нагрузки на перегонный тоннель. Таким образом, прогноз нагрузки от горного давления на обделку перегонного тоннеля рационально выполнять с учетом начальных деформаций станционной выработки. Установлено, что граница области влияния станционного тоннеля на напряженно-деформированное состояние обделки перегонного тоннеля на участке их сопряжения практически не зависит от глубины заложения и может быть принята равной 7 м. Практическая значимость: результаты исследования могут быть использованы на этапе проектирования узла сопряжения перегонного и станционного тоннелей для определения протяженности участка перегонного тоннеля с усиленной обделкой.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>To verify the mathematical model of the interstation and station subway tunnels junctionsection by creating a physical model using the method of equivalent materials. To analyze the formation of vertical loads from ground pressure on the tunnel linings, taking into account the selected sequence of work. To establish the station tunnel and its face wall influence on the interstation tunnel lining stressstrain state, and determine the size of this area of influence based on the simulation results. Methods: the finite element method in combination with the analytical method (mathematical modeling), the method of equivalent materials (physical modeling). Results: patterns of load distribution from vertical ground pressure on the interstation tunnel lining at the interface with the deep shallow pylon station have been revealed. It was found that on the approach to the face wall of the station, the interstation tunnel lining perceives the vertical load from the ground pressure, exceeding the load on the lining outside the area of the station influence by about 2–4 times. In addition, it was found that the initial deformations of the station workings lead to an increase in the load on the interstation tunnel. Thus, it is rational to forecast the load from the ground pressure on the interstation tunnel lining, taking into account the initial deformations of the station workings. It is established that the boundary of the station tunnel influence area on the stress-strain state of the interstation tunnel lining practically does not depend on the depth of laying and can be assumed to be 7 m. Practical significance: the results of the study can be used at the design stage of the interstation and station tunnel junction to determine the length of the interstation tunnel section with reinforced lining.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>метод конечных элементов</kwd>
    <kwd>метод эквивалентных материалов</kwd>
    <kwd>метрополитен</kwd>
    <kwd>перегонный тоннель</kwd>
    <kwd>станционный тоннель</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>finite element method</kwd>
    <kwd>equivalent materials method</kwd>
    <kwd>subway</kwd>
    <kwd>interstation tunnel</kwd>
    <kwd>station tunnel</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
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