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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.2020.1.58</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-4950</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/4950</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Электромеханика и машиностроение</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Electromechanics and mechanical engineering</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Method for estimating the spectrum density of the resistance moment  on the working body of a peat milling unit</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Методика оценки спектральной плотности момента сопротивления на рабочем органе торфяного фрезерующего агрегата</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Fomin</surname>
            <given-names>K. V.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Фомин</surname>
              <given-names>К. В.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Fomin</surname>
              <given-names>K. V.</given-names>
            </name>
          </name-alternatives>
          <email>fomin_tver@mail.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Тверской государственный технический университет (Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Tver State Technical University (Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2020-02-25">
        <day>25</day>
        <month>02</month>
        <year>2020</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2020</year>
      </pub-date>
      <volume>241</volume>
      <fpage>58</fpage>
      <lpage>67</lpage>
      <history>
        <date date-type="received" iso-8601-date="2019-06-19">
          <day>19</day>
          <month>06</month>
          <year>2019</year>
        </date>
        <date date-type="accepted" iso-8601-date="2019-09-11">
          <day>11</day>
          <month>09</month>
          <year>2019</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2020-02-25">
          <day>25</day>
          <month>02</month>
          <year>2020</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© K. V. Fomin</copyright-statement>
        <copyright-year>2020</copyright-year>
        <copyright-holder xml:lang="ru">К. В. Фомин</copyright-holder>
        <copyright-holder xml:lang="en">K. V. Fomin</copyright-holder>
        <license xlink:href="http://creativecommons.org/licenses/by/4.0">
          <license-p>CC BY 4.0</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/4950">https://pmi.spmi.ru/pmi/article/view/4950</self-uri>
      <abstract xml:lang="ru">
        <p>Основным источником динамических нагрузок в элементах привода и конструкции торфяного фрезерующего агрегата является рабочий орган. Силы внешнего сопротивления, возникающие в процессе выполнения технологической операции, носят резко переменный, случайный характер. В статье предложена модель формирования момента сопротивления на фрезе при взаимодействии с торфом. Рассмотрен случай, когда имеется несколько плоскостей резания с одинаковым радиусом по концам режущих элементов. При разработке модели учитывалось, что условия работы ножей, определяемые видом резания (блокированное, полублокированное и т.п.), их ширина и тип в каждой плоскости резания могут различаться. Факторы, определяющие характер нагружения, такие как периодичность взаимодействия режущих элементов с залежью и случайность условий работы агрегата, приводят к представлению нагрузок в виде последовательности импульсов со случайными параметрами. Получены выражения для определения спектральной плотности момента сопротивления на фрезе на стадии проектирования с учетом ее конструкции, режимов работы, физико-механических свойств торфа и их вероятностных характеристик. Для иллюстрации применения разработанных подходов представлена методика определения спектральной плотности момента на рабочем органе машин глубокого фрезерования и в элементах их привода на основе линейной модели. Дан пример расчета, проведена проверка полученных выражений на основе экспериментальных данных. Вероятностные характеристики нагрузок на фрезе служат исходной информацией для динамического анализа системы привода и конструкции агрегата, его прочностного анализа, выбора оптимальных параметров и режимов работы.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The main source of dynamic loads in the drive elements and the design of the peat milling unit is the working body. The forces of external resistance arising in the process of performing a technological operation are sharply variable, random in nature. The article proposes a model of formation of the moment of resistance on the mill when interacting with peat. The case when there are several cutting planes with the same radius at the ends of the cutting elements is considered. When developing the model, it was taken into account that the operating conditions of the knives, determined by the type of cutting (blocked, semi-blocked, etc.), their width and type in each cutting plane can vary. Factors that determine the nature of loading, such as the frequency of interaction of the cutting elements with the fallow and the randomness of the operating conditions of the unit, lead to the presentation of the loads in the form of a sequence of pulses with random parameters. Expressions are obtained for determining the spectral density of the moment of resistance on the mill at the design stage, taking into account its design, operating modes, physico-mechanical properties of peat and their probabilistic characteristics. To illustrate the application of the developed approaches, a technique is presented for determining the spectral density of the moment on the working body of deep milling machines and in their drive elements based on a linear model. An example of calculation is given, and the obtained expressions are verified on the basis of experimental data. The probabilistic characteristics of the loads on the mill serve as initial information for the dynamic analysis of the drive system and the design of the unit, its strength analysis, the selection of optimal parameters and operating modes.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>торфяные фрезерующие агрегаты</kwd>
        <kwd>динамические нагрузки</kwd>
        <kwd>момент сопротивления</kwd>
        <kwd>модель</kwd>
        <kwd>спектральная плотность</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>peat milling units</kwd>
        <kwd>dynamic loads</kwd>
        <kwd>moment of resistance</kwd>
        <kwd>model</kwd>
        <kwd>spectral density</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
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</article>
