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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.31897/pmi.2020.2.160</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-13436</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/13436</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Нефтегазовое дело</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Oil and gas</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Assessment of internal pressure effect, causing additional bending of the pipeline</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Оценка влияния внутреннего давления,  вызывающего дополнительный изгиб трубопровода</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Baktizin</surname>
            <given-names>Ramil N.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Бахтизин</surname>
              <given-names>Р. Н.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Baktizin</surname>
              <given-names>Ramil N.</given-names>
            </name>
          </name-alternatives>
          <email>ramil_bahtizin@mail.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Уфимский государственный нефтяной технический университет (Уфа, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Ufa State Petroleum Technological University (Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Zaripov</surname>
            <given-names>Rail M.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Зарипов</surname>
              <given-names>Р. М.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Zaripov</surname>
              <given-names>Rail M.</given-names>
            </name>
          </name-alternatives>
          <email>rail.zaripov@gmail.com</email>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Уфимский государственный нефтяной технический университет (Уфа, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Ufa State Petroleum Technological University (Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Korobkov</surname>
            <given-names>Gennadii E.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Коробков</surname>
              <given-names>Г. Е.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Korobkov</surname>
              <given-names>Gennadii E.</given-names>
            </name>
          </name-alternatives>
          <email>korobkov45@mail.ru</email>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Уфимский государственный нефтяной технический университет (Уфа, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Ufa State Petroleum Technological University (Ufa, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Masalimov</surname>
            <given-names>Radik B.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Масалимов</surname>
              <given-names>Р. Б.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Masalimov</surname>
              <given-names>Radik B.</given-names>
            </name>
          </name-alternatives>
          <email>masalimovrb@mail.ru</email>
          <xref ref-type="aff" rid="aff4"/>
        </contrib>
        <aff-alternatives id="aff4">
          <aff>
            <institution xml:lang="ru">Уфимский государственный нефтяной технический университет (Уфа, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Ufa State Petroleum Technological University (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2020-04-24">
        <day>24</day>
        <month>04</month>
        <year>2020</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2020</year>
      </pub-date>
      <volume>242</volume>
      <fpage>160</fpage>
      <lpage>168</lpage>
      <history>
        <date date-type="received" iso-8601-date="2019-07-17">
          <day>17</day>
          <month>07</month>
          <year>2019</year>
        </date>
        <date date-type="accepted" iso-8601-date="2019-10-09">
          <day>09</day>
          <month>10</month>
          <year>2019</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2020-04-24">
          <day>24</day>
          <month>04</month>
          <year>2020</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2020 Р. Н. Бахтизин, Р. М. Зарипов, Г. Е. Коробков, Р. Б. Масалимов</copyright-statement>
        <copyright-statement xml:lang="en">© 2020 Ramil N. Baktizin, Rail M. Zaripov, Gennadii E. Korobkov, Radik B. Masalimov</copyright-statement>
        <copyright-year>2020</copyright-year>
        <copyright-holder xml:lang="ru">Р. Н. Бахтизин, Р. М. Зарипов, Г. Е. Коробков, Р. Б. Масалимов</copyright-holder>
        <copyright-holder xml:lang="en">Ramil N. Baktizin, Rail M. Zaripov, Gennadii E. Korobkov, Radik B. Masalimov</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/13436">https://pmi.spmi.ru/pmi/article/view/13436</self-uri>
      <abstract xml:lang="ru">
        <p>В статье обоснован учет воздействия внутреннего давления, вызывающего дополнительный изгиб трубопровода. По утверждению некоторых ученых, ошибочно используется понятие эквивалентного продольного осевого усилия (ЭПОУ) Sx, которое зависит от рабочего давления, температурных напряжений и совместных деформаций трубопровода с грунтом. Однако авторы статьи используют понятие ЭПОУ Sxпри построении математической модели напряженно-деформированного состояния (НДС) сложного участка магистрального трубопровода, а также раскрывают его при анализе результатов расчета прочности и устойчивости трубопровода. Анализ НДС рассчитываемого участка нефтепровода осуществлен для двух постановок задачи при различных значениях параметров эксплуатации. В первой постановке учитывается воздействие внутреннего давления, вызывающего изгиб трубопровода, а во второй пренебрегается этим воздействием. Показано, что за счет действия эквивалентного продольного осевого усилия Sx при p0 = 9,0 МПа, Dt = 29 °C расчетное экстремальное значение прогиба увеличивается на 54, а расчетные экстремальные значения изгибных напряжений от пролетного изгибающего момента возрастают на 74 %, расчетные значения экстремальных изгибных напряжений от опорного изгибающего момента увеличиваются в два раза по сравнению с соответствующими характеристиками НДС трубопровода. В случае пренебрежения воздействием внутреннего давления, вызывающего дополнительный изгиб трубопровода, погрешность расчета экстремального значения прогиба составляет 35 %, а экстремального значения изгибных напряжений от пролетных изгибающих моментов равна 44 % и экстремального значения изгибных напряжений от опорных изгибающих моментов составляет 95 %.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>Article justifies accounting for internal pressure effect in the pipeline, causing additional bending of the pipeline. According to some scientists, there is an erroneously used concept of the equivalent longitudinal axial force (ELAF) Sx, which depends on working pressure, temperature stresses, and joint deformations of pipelines with various types of soils. However, authors of the article use ELAF Sx concept at construction of mathematical model of stress-strain state (SSS) for complex section of the trunk pipeline, and also reveal it when analyzing the results of calculating the durability and stability of the pipeline. Analysis of SSS for calculated section of the pipeline was carried out for two statements of the problem for different values of operation parameters. In the first statement, effect of internal pressure causing bending of the pipeline is taken into account, and in the second it is neglected. It is shown that due to effect of ELAF Sx at p0 = 9.0 MPa, Dt = 29 °C extreme value of bend increases by 54 %, extreme values of bending stresses from span bending moment increase by 74 %, and extreme value of bending stresses from support bending moment double with regard to corresponding SSS characteristics of the pipeline. In case of neglecting the internal pressure effect causing additional bending of the pipeline (second statement of the problem), error in calculating the extreme value of bend is 35 %, extreme value of bending stresses from span bending moments is 44 %, and extreme value of bending stresses from support bending moments is 95 %.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>нефтепровод</kwd>
        <kwd>трубопровод</kwd>
        <kwd>грунт</kwd>
        <kwd>прогиб</kwd>
        <kwd>усилие</kwd>
        <kwd>моменты</kwd>
        <kwd>напряжение</kwd>
        <kwd>деформация</kwd>
        <kwd>давление</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>oil pipeline</kwd>
        <kwd>pipeline</kwd>
        <kwd>soil</kwd>
        <kwd>bend</kwd>
        <kwd>force</kwd>
        <kwd>moments</kwd>
        <kwd>stress</kwd>
        <kwd>strain</kwd>
        <kwd>pressure</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
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</article>
