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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">fwj</journal-id><journal-title-group><journal-title xml:lang="ru">Трение и и износ</journal-title><trans-title-group xml:lang="en"><trans-title>Title in english</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0000-0000</issn><issn pub-type="epub">0000-0000</issn><publisher><publisher-name>AGU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32864/0202-4977-2025-46-3-270-279</article-id><article-id custom-type="elpub" pub-id-type="custom">fwj-143</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Механико-математическая оценка влияния механических свойств проволоки на износостойкость винтовых цилиндрических пружин сжатия</article-title><trans-title-group xml:lang="en"><trans-title>Mechanical and Mathematical Evaluation of Wire Mechanical Properties Influence on Helical Cylindrical Compression Springs Wear Resistance</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Землянушнов</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Zemlyanushnov</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ул. Пушкина, 1, г. Ставрополь 355017, Россия</p></bio><bio xml:lang="en"><p>Pushkin Street, 1, Stavropol 355017, Russia</p></bio><email xlink:type="simple">nikita3535@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Землянушнова</surname><given-names>Н. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Zemlyanushnova</surname><given-names>N. Y.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ул. Пушкина, 1, г. Ставрополь 355017, Россия</p></bio><bio xml:lang="en"><p>Pushkin Street, 1, Stavropol 355017, Russia</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Северо-Кавказский федеральный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>North Caucasus Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>07</day><month>10</month><year>2026</year></pub-date><volume>46</volume><issue>3</issue><fpage>270</fpage><lpage>279</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; AGU, 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">AGU</copyright-holder><copyright-holder xml:lang="en">AGU</copyright-holder><license xlink:href="https://fwj.ejournal.by/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://fwj.ejournal.by/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://fwj.ejournal.by/jour/article/view/143">https://fwj.ejournal.by/jour/article/view/143</self-uri><abstract><p>Распространенным дефектом пружин является уменьшение их износостойкости вследствие изменения механических свойств проволоки по длине, в частности величины предела текучести, в том числе при трении в процессе эксплуатации пружины. По представленной математической модели напряженно-деформированного состояния пружины исследовано влияние изменения предела текучести проволоки на износостойкость пружины при контактном заневоливании. Построен график зависимости остаточной деформации пружины от предела текучести её материала для разных диаметров проволоки. Рассеивание значений предела текучести пружинной проволоки в мотке согласно ГОСТ 9389 «Проволока стальная углеродистая пружинная» может составлять до 200—250 МПа. Установлено, что при этом рассеивание деформации изготовленных пружин составит 11,76 % и превысит допустимые значения. Для пружин первой группы точности допустимые отклонения на рассеивание деформации ± 5 %, для пружин второй группы точности — ± 10 %. Получен график влияния изменения предела текучести проволоки по длине на рассеивание деформации пружины для нагрузки 140F3 (F3 — сила сжатия пружины до соприкосновения витков). Используя представленную методику и учитывая рассеивание деформации пружины в зависимости от изменения предела текучести проволоки по длине, в том числе вследствие трения при эксплуатации, можно значительно уменьшить процент брака при изготовлении и повысить износостойкость винтовых цилиндрических пружин сжатия.</p></abstract><trans-abstract xml:lang="en"><p>A common defect of springs is a decrease in their wear resistance due to changes in the mechanical properties of the wire along its length, particularly the yield strength, including during friction during operation of the spring. According to the springs stress-strain state presented mathematical model, the wire yield strength changes effect on springs wear resistance during contact hardening is investigated. The residual springs deformation dependence graph on the yield strength of its material for different wire diameters is constructed. Dispersion of the spring wire yield strength in the coil according to state standards 9389 “Carbon steel spring wire” can be up to 200—250 MPa. It is established that in this case, the manufactured springs deformation dispersion will amount to 11.76 % and exceed the permissible values. For first precision group springs, the permissible deviations for deformation dispersion are ± 5%, for second precision group springs — ± 10 %. The wire change in the yield strength effect graph along the length on the dispersion of spring deformation for a load of 140F3 (F3 is spring compression force when coils come into contact) is constructed. Using the presented technique and taking into account the dispersion of spring deformation depending on the change in the wire along the length yield strength, including due to friction during operation, it is possible to significantly reduce the percentage of defects in the manufacture and increase helical cylindrical compression springs wear resistance.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>износостойкость</kwd><kwd>механические свойства</kwd><kwd>винтовая пружина</kwd><kwd>напряжённо-деформированное состояние</kwd><kwd>упрочнение</kwd><kwd>контактное заневоливание</kwd><kwd>трение</kwd><kwd>деформация</kwd><kwd>рассеивание</kwd></kwd-group><kwd-group xml:lang="en"><kwd>wear resistance</kwd><kwd>mechanical properties</kwd><kwd>helical spring</kwd><kwd>stress-strain state</kwd><kwd>hardening</kwd><kwd>contact hardening</kwd><kwd>friction</kwd><kwd>deformation</kwd><kwd>dispersion</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Ali Yetgin, Aptullah Karakaş, Bülent Acar, and Emre Özaslan. 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