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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Geometry &amp; Graphics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Geometry &amp; Graphics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Геометрия и графика</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2308-4898</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">40479</article-id>
   <article-id pub-id-type="doi">10.12737/2308-4898-2020-25-35</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Научные проблемы геометрии</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Scientific problems of geometry</subject>
    </subj-group>
    <subj-group>
     <subject>Научные проблемы геометрии</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Fractal Plots of Topology Optimization Efficiency in Solving of the Problem for Strength Dependence on the Grid</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Фрактальные графики эффективности оптимизации топологии в решении проблемы зависимости прочности от сетки</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Жихарев</surname>
       <given-names>Л. А.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Zhikharev</surname>
       <given-names>L. A.</given-names>
      </name>
     </name-alternatives>
     <email>Zhabafrog@mail.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-1"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">МИРЭА – Российский технологический университет</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">MIREA – Russian technological university</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <volume>8</volume>
   <issue>3</issue>
   <fpage>25</fpage>
   <lpage>35</lpage>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/article/40479/view">https://zh-szf.ru/en/nauka/article/40479/view</self-uri>
   <abstract xml:lang="ru">
    <p>В данном исследовании решается задача определения зависимостей, описывающих изменение запаса прочности детали, полученной путём оптимизации топологии с использованием SIMP-метода при разных размерах конечных элементов сетки. Для этого в исследовании был проведён цифровой эксперимент, в ходе которого было получено почти пятьдесят вариантов компьютерных моделей детали и исследованы их механические свойства. По полученным данным были построены графики прочностной эффективности топологической оптимизации, которые отражают фрактальные свойства изменения прочностных характеристик детали. При достижении цели исследования были решены задачи выбора программного продукта и применения сочетания программ, позволившего автоматизировать создание моделей по результатам оптимизации топологии. Основным инструментом оптимизации топологии выступил продукт Autodesk Fusion 360, предоставляющий бесплатный доступ к облачным вычислениям, а при конвертации моделей применялся Autodesk ReCap Photo. По результатам эксперимента были сформулированы рекомендации для получения оптимизированной топологии детали без критических дефектов формы по методу SIMP. С большой долей вероятности, данные рекомендации актуальны и при использовании прочих методов топологической оптимизации, таких как ESO, BESO или Level-Set. Полученные рекомендации апробировались в решении задачи повышения прочностной эффективности конструкций на примере колёсной подвески Rocker-Bogie применяемой в современных марсоходах типа «Кьюриосити». Результатами оптимизации топологии стали ажурные детали, способные выдерживать большие нагрузки при малой массе. Это подтвердил прочностной анализ, показавший увеличение удельной прочности до 13,5 раз относительно прототипа, применяемого в подвеске марсохода типа «Кьюриосити».</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>In this research is solved the problem for determining of dependencies describing the strength redundancy of a part obtained by means of topology optimization using the SIMP method under a variety of grid’s finite elements. For this purpose, in the research was performed a digital experiment, during which almost fifty variants of part’s computer models were obtained, and their mechanical properties were studied. Based on the obtained data were constructed plots for the strength efficiency of topological optimization, which reflect fractal properties of part’s strength parameters changing.&#13;
Upon reaching the research goal were solved the problems of software selection and applying a programs combination, which allowed automate the creation of models based on the topology optimization results. The main tool for topology optimization was the Autodesk Fusion 360 product, providing a free access to cloud computing, and Autodesk ReCap Photo was used when models converting.&#13;
On the results of the experiment were formulated recommendations for obtaining the part’s optimized topology without critical defects of shape, using the SIMP method. With great probability, these recommendations are important when using other methods for topological optimization, such as ESO, BESO, or Level-Set.&#13;
The received recommendations were tested in solution the problem of increasing the structures’ strength efficiency on the example of the rocker-Bogie wheel suspension using in modern Curiosity-type Mars rovers. The topology optimization results are openwork parts that can withstand heavy loads at low weight. This was confirmed by strength analysis, which had showed an increase in specific strength up to 13.5 times, relative to the prototype used in the Curiosity-type Mars rover’s suspension.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>оптимизация топологии</kwd>
    <kwd>конечные элементы</kwd>
    <kwd>SIMP-метод</kwd>
    <kwd>фрактальные графики прочностной эффективности</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>topology optimization</kwd>
    <kwd>finite elements</kwd>
    <kwd>SIMP-method</kwd>
    <kwd>fractal plots of strength efficiency</kwd>
   </kwd-group>
  </article-meta>
 </front>
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