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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">gscience</journal-id><journal-title-group><journal-title xml:lang="en">Mining Science and Technology (Russia)</journal-title><trans-title-group xml:lang="ru"><trans-title>Горные науки и технологии</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2500-0632</issn><publisher><publisher-name>The National University of Science and Technology MISiIS (NUST MISIS)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/2500-0632-2022-2-161-169</article-id><article-id custom-type="elpub" pub-id-type="custom">gscience-351</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="en"><subject>MINING MACHINERY, TRANSPORT, AND MECHANICAL ENGINEERING</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ГОРНЫЕ МАШИНЫ, ТРАНСПОРТ И МАШИНОСТРОЕНИЕ</subject></subj-group></article-categories><title-group><article-title>Simulation of loads on operating device of peat-cutting unit with regard to errors in the cutting elements arrangement</article-title><trans-title-group xml:lang="ru"><trans-title>Моделирование нагрузок на рабочем органе торфяного фрезерующего агрегата с учетом погрешности расстановки режущих элементов</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8153-1115</contrib-id><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><bio xml:lang="ru"><p>Константин Владимирович Фомин – доктор технических наук, доцент, заведующий кафедрой «Механизация природообустройства и ремонт машин»</p><p>Scopus ID 57202900121</p><p>г. Тверь</p></bio><bio xml:lang="en"><p>Konstantin V. Fomin – Dr. Sci. (Eng.), Associate Professor, the Head of the Department of Mechanization of Environmental management and Repair of Machines</p><p>Scopus ID 57202900121</p><p>Tver</p></bio><email xlink:type="simple">fomin_tver@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Тверской государственный технический университет<country>Россия</country></aff><aff xml:lang="en">Tver State Technical University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>20</day><month>07</month><year>2022</year></pub-date><volume>7</volume><issue>2</issue><fpage>161</fpage><lpage>169</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Fomin K.V., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Фомин К.В.</copyright-holder><copyright-holder xml:lang="en">Fomin K.V.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://mst.misis.ru/jour/article/view/351">https://mst.misis.ru/jour/article/view/351</self-uri><abstract><p>The practice of using units with milling-type operating devices showed their insufficient reliability, which leads to deterioration of the units’ performance. The reasons for this are high dynamic loads in structural members, which are caused by external resistance forces on a milling cutter. They have random, sharply variable nature due to structural heterogeneity of a peat deposit, its random physical and mechanical properties, the presence of wood inclusions in it, as well as periodic interaction of blades with the deposit, and many other factors. In this case, the parameters of actual milling cutter, due to manufacturing and installation errors, differ from those specified in the “ideal” design. In addition, wear and irreversible deformations of cutting elements (blades) occur during operation. As a result the position of blades in a cutter body differs from the “ideal” positioning pattern. The purpose of the paper is to develop a model of section moment on a milling cutter when interacting with a peat deposit in the process of technological operations, taking into account the influence of the error of blade positioning on a cutter body. Expressions for calculating the moment spectral density were obtained. Its characteristic features were analyzed. Errors in positioning of cutting elements on a cutter body lead to changes in the magnitude and nature of the load and its frequency content. In this case, new, additional components appear at frequencies multiple of the cutter’s angular velocity, enriching the load spectrum and increasing its variance. Their magnitude is determined by the cumulative value of the errors. As an example, an analysis of the influence of the error in positioning cutting elements on the spectral density for the operating device of MTP-42 deep milling machine is given. The study results are of practical value and should be taken into account in the calculation of dynamic loads in designing structural members of milling units, especially if their operating devices have a large number of blades, use fine feeds, and when the natural frequencies of the structural members are equal to or multiple of the angular speed of a milling cutter.</p></abstract><trans-abstract xml:lang="ru"><p>Практика использования машин с исполнительными органами фрезерного типа показывает их недостаточную надежность, что приводит к ухудшению технико-экономических характеристик агрегатов. Причиной этого являются высокие динамические нагрузки в элементах конструкции, которые возникают в результате действия сил внешнего сопротивления на фрезе. Они имеют случайный, резко переменный характер, который вызван структурной неоднородностью торфяной залежи, ее случайными физико-механическими свойствами, наличием в ней древесных включений, а также периодическим взаимодействием ножей с залежью и многими другими факторами. При этом параметры реальной конструкции фрезы ввиду погрешностей изготовления и сборки отличаются от заданных при проектировании. Кроме того, в процессе эксплуатации происходят износ и необратимые деформации режущих элементов. Это приводит к тому, что ножи расположены с некоторым небольшим сдвигом на корпусе фрезы относительно «идеальной» схемы размещения. Цель статьи заключается в разработке модели момента сопротивления на фрезе при взаимодействии с торфяной залежью в процессе выполнения технологической операции, учитывающей влияние погрешности расстановки ножей на корпусе фрезы. Получены выражения для расчета спектральной плотности момента. Проанализированы его характерные особенности. Ошибки размещения режущих элементов на корпусе фрезы приводят к изменению величины и характера нагрузки, ее частотного состава. При этом появляются новые, дополнительные составляющие на частотах, кратных угловой скорости фрезы, обогащая спектр нагрузки, увеличивая ее дисперсию. Их величина определяется суммарным значением ошибок. В качестве примера дан анализ влияния погрешности расположения режущих элементов на спектральную плотность для исполнительного органа машины глубокого фрезерования типа МТП-42. Результаты исследования имеют практическую ценность и должны учитываться при расчете динамических нагрузок в элементах конструкции фрезерующих агрегатов при их проектировании, особенно если рабочие органы имеют большое количество резцов, используют малые подачи и когда собственные частоты элементов конструкции агрегата равны или кратны угловой скорости фрезы.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>торфяной фрезерующий агрегат</kwd><kwd>фреза</kwd><kwd>ошибки расстановки ножей</kwd><kwd>вероятностная модель нагрузки</kwd><kwd>момент сопротивления</kwd><kwd>спектральная плотность</kwd></kwd-group><kwd-group xml:lang="en"><kwd>peat milling unit</kwd><kwd>milling cutter</kwd><kwd>blade positioning errors</kwd><kwd>probabilistic load model</kwd><kwd>section moment</kwd><kwd>spectral density</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">Misnikov O. S. Basic technologies and equipment used for peat deposit development in foreign countries. In: E3S Web Conf.: IIIth International Innovative Mining Symposium. 26 January. 2018;41(6):01046. https://doi.org/10.105/e3sconf/20184101046</mixed-citation><mixed-citation xml:lang="en">Misnikov O. S. Basic technologies and equipment used for peat deposit development in foreign countries. In: E3S Web Conf.: IIIth International Innovative Mining Symposium. 26 January 2018. 2018;41(6):01046. https://doi.org/10.105/e3sconf/20184101046</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Самсонов Л. Н. Фрезерование торфяной залежи. М.: Недра; 1985. 211 с.</mixed-citation><mixed-citation xml:lang="en">Samsonov L. N. Peat deposit milling. Moscow: Nedra Publ.; 1985. 211 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Копенкин В. Д., Копенкина Л. В., Самсонов Л. Н. Развитие фрезерующих машин в торфяном производстве (анализ, перспективы). Горный информационно-аналитический бюллетень. 2003;(10):204–207.</mixed-citation><mixed-citation xml:lang="en">Kopenkin V. D., Kopenkin L. V., Samsonov L. N. Development of milling machines in peat production (analysis, prospects). Mining Information and Analytical Bulletin. 2003;(10):204–207. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Горлов И. В., Рахутин М. Г. Влияние пнистости залежи на безотказность торфяных машин. Горный информационно-аналитический бюллетень. 2017;(12):139–145.</mixed-citation><mixed-citation xml:lang="en">Gorlov I. V., Rakhutin M. G. Effect of the presence of stumps on no-failure performance of peat harvesting machines. Mining informational and analytical bulletin. 2017;(12):139–145. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Самсонов Л. Н., Фомин К. В. Элементы статистической динамики торфяных фрезерующих агрегатов. Тверь: Тверской государственный технический университет; 2005. 168 с.</mixed-citation><mixed-citation xml:lang="en">Samsonov L. N., Fomin K. В. Elements of statistical dynamics of peat milling facilities. Tver: Tver State Technical University; 2005. 168 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Михайлов А. В., Родионов Е. А., Звонарев И. Е. Анализ условий вертикальной выемки торфяного сырья. Горный информационно-аналитический бюллетень. 2019;(1):48–54. https://doi.org/10.25018/0236-1493-2019-01-0-48-54</mixed-citation><mixed-citation xml:lang="en">Mikhaylov A. V., Rodionov E. A., Zvonarev I. E. Analysis of conditions for vertical cutting of peat. Mining Informational and Analytical Bulletin. 2019;(1):48–54. (In Russ.) https://doi.org/10.25018/0236-1493-2019-01-0-48-54</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Michailov A. V., Zhigulskaya A. I., Garmaev O. M. An integrated approach to strip mining of peat. In: IOP Conf. Series: Earth and Environmental Science. 2019;378:24–27. https://doi.org/10.1088/1755-1315/378/1/012087</mixed-citation><mixed-citation xml:lang="en">Michailov A. V., Zhigulskaya A. I., Garmaev O. M. An integrated approach to strip mining of peat. In: IOP Conf. Series: Earth and Environmental Science. 2019;378:24–27. https://doi.org/10.1088/1755-1315/378/1/012087</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Яблонев А. Л., Крутов Ю. В. Применение средств современного цифрового тензометрирования при исследовании нагруженности элементов торфяных машин. Горный информационно-аналитический бюллетень. 2016;(8):200–205. URL: https://giab-online.ru/files/Data/2016/8/200_205_8_2016.pdf</mixed-citation><mixed-citation xml:lang="en">Yablonev A. L., Krutov Yu. V. The use of modern digital service stress measurements in the study load of peat machines. Mining Informational and Analytical Bulletin. 2016;(8):200–205. (In Russ.) URL: https://giab-online.ru/files/Data/2016/8/200_205_8_2016.pdf</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Фомин К. В. Методика оценки спектральной плотности момента сопротивления на рабочем органе торфяного фрезерующего агрегата. Записки Горного института. 2020;241:58–67. https://doi.org/10.31897/PMI.2020.1.58</mixed-citation><mixed-citation xml:lang="en">Fomin K. V. Method for estimating the spectrum density of the resistance moment on the working body of a peat milling unit. Journal of Mining Institute. 2020;241:58–67. https://doi.org/10.31897/PMI.2020.1.58</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Фомин К. В. Расчет взаимных спектральных плотностей моментов сопротивления на рабочих органах торфяного фрезерующего агрегата. Записки Горного института. 2021;251:746–756. https://doi.org/10.31897/PMI.2021.5.14</mixed-citation><mixed-citation xml:lang="en">Fomin K. V. Mutual spectral densities calculation of the moments of resistance on the peat milling unit working bodies. Journal of Mining Institute. 2021;251:746–756. https://doi.org/10.31897/PMI.2021.5.14</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Zong X., Guo Q., Kang K., Jia H., He B. Study on Installation Angle of the Milling Wheel Accurate Estimation and Compensation. In: MATEC Web of Conferences: the 3rd International Conference on Mechatronics and Mechanical Engineering (ICMME 2016). 2017;95:04005. https://doi.org/10.1051/matecconf/20179504005</mixed-citation><mixed-citation xml:lang="en">Zong X., Guo Q., Kang K., Jia H., He B. Study on Installation Angle of the Milling Wheel Accurate Estimation and Compensation. In: MATEC Web of Conferences: the 3rd International Conference on Mechatronics and Mechanical Engineering (ICMME 2016). 2017;95:04005. https://doi.org/10.1051/matecconf/20179504005</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Cheluszka P., Jagieła-Zając A. Determining the position of pick holders on the side surface of the working unit of the cutting machine in the robotic technology of their assembly. In: IOP Conference Series: Earth and Environmental Science. 2019;261:012003. https://doi.org/10.1088/1755-1315/261/1/012003</mixed-citation><mixed-citation xml:lang="en">Cheluszka P., Jagieła-Zając A. Determining the position of pick holders on the side surface of the working unit of the cutting machine in the robotic technology of their assembly. In: IOP Conference Series: Earth and Environmental Science. 2019;261:012003. https://doi.org/10.1088/1755-1315/261/1/012003</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Шабаев О. Е., Бридун И. И. Техническая диагностика резцового исполнительного органа проходческого комбайна. Горный информационно-аналитический бюллетень. 2017;(9):94–101. https://doi.org/10.25018/0236-1493-2017-9-0-94-101</mixed-citation><mixed-citation xml:lang="en">Shabaev O. E., Bridun I. I. Technical diagnostics of a roadheader cutting operating device. Mining Information and Analytical Bulletin. 2017;(9):94–101. (In Russ.) https://doi.org/10.25018/0236-1493-2017-9-0-94-101</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Lalanne C. Mechanical Vibration and Shock Analysis, Random Vibration (Mechanical Vibration and Shock Analysis. 3rd Edition. John Wiley &amp; Sons, Ltd; 2014. 595 p. https://doi.org/10.1002/9781118931127</mixed-citation><mixed-citation xml:lang="en">Lalanne C. Mechanical Vibration and Shock Analysis, Random Vibration (Mechanical Vibration and Shock Analysis. 3rd Edition. John Wiley &amp; Sons, Ltd; 2014. 595 p. https://doi.org/10.1002/9781118931127</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Lutes L. D., Sarkani Sh. Random vibrations: analysis of structural and mechanical systems. 2004. 635 p.</mixed-citation><mixed-citation xml:lang="en">Lutes L. D., Sarkani Sh. Random vibrations: analysis of structural and mechanical systems. 2004. 635 p.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Svetlitsky V. A. Statistical dynamics and reliability theory for mechanical structures. Springer, Berlin/Heidelberg; 2003. 452 p. https://doi.org/10.1007/978-3-540-45826-5</mixed-citation><mixed-citation xml:lang="en">Svetlitsky V. A. Statistical dynamics and reliability theory for mechanical structures. Springer, Berlin/Heidelberg; 2003. 452 p. https://doi.org/10.1007/978-3-540-45826-5</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Гусев А. С. Вероятностные методы в механике машин и конструкций. М.: МГТУ им. Н. Э. Баумана; 2009. 224 с.</mixed-citation><mixed-citation xml:lang="en">Gusev A. S. Probabilistic methods in mechanics of machines and structures. Moscow: N. E. Bauman Moscow State Technical University Publ.; 2009. 224 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Докукин А. В., Красников Ю. Д., Хургин З. Я. Статистическая динамика горных машин. М.: Машиностроение; 1978. 238 с.</mixed-citation><mixed-citation xml:lang="en">Dokukin A. V., Krasnikov Yu. D., Khurgin Z. Ya. Statistical dynamics of mining machines. Moscow: Mashinostroenie Publ.; 1978. 238 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Красников Ю. Д. Моделирование разрушения углей режущими инструментами. М.: Наука; 1981. 181 с.</mixed-citation><mixed-citation xml:lang="en">Krasnikov Yu. D. Simulation of coal disintegration by cutting tools. Moscow: Nauka Publ.; 1981. 181 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Li X. H., Yu X. W., Ma X. H., Zhao Y. B. Simulation and study of random loads on continuous miner cutting drum. Advanced Materials Research. 2011;308–310:1885–8. https://doi.org/10.4028/www.scientific.net/amr.308-310.1885</mixed-citation><mixed-citation xml:lang="en">Li X. H., Yu X. W., Ma X. H., Zhao Y. B. Simulation and study of random loads on continuous miner cutting drum. Advanced Materials Research. 2011;308–310:1885–8. https://doi.org/10.4028/www.scientific.net/amr.308-310.1885</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Liu C. S., Li D. G., Chen X. P. Shearer load identification of the load spectrum of the pick based on chaotic characteristics. Advanced Materials Research. 2011;199–200:111–114. https://doi.org/10.4028/www.scientific.net/AMR.199-200.111</mixed-citation><mixed-citation xml:lang="en">Liu C. S., Li D. G., Chen X. P. Shearer load identification of the load spectrum of the pick based on chaotic characteristics. Advanced Materials Research. 2011;199–200:111–114. https://doi.org/10.4028/www.scientific.net/AMR.199-200.111</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Medolago A. A., Melzi S. A flexible multi-body model of a surface miner for analyzing the interaction between rock-cutting forces and chassis vibrations. International Journal of Mining Science and Technology. 2021;31(3):365–375. https://doi.org/10.1016/j.ijmst.2021.03.006</mixed-citation><mixed-citation xml:lang="en">Medolago A. A., Melzi S. A flexible multi-body model of a surface miner for analyzing the interaction between rock-cutting forces and chassis vibrations. International Journal of Mining Science and Technology. 2021;31(3):365–375. https://doi.org/10.1016/j.ijmst.2021.03.006</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Howard R. M. Principles of random signal analysis and low noise design:The power spectral density and its applications. Willey; 2002. 310 p. https://doi.org/10.1002/0471439207</mixed-citation><mixed-citation xml:lang="en">Howard R. M. Principles of random signal analysis and low noise design: The power spectral density and its applications. Willey; 2002. 310 p. https://doi.org/10.1002/0471439207</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Левин Б. Р. Теоретические основы статистической радиотехники. М.: Радио и связь; 1989. 656 с.</mixed-citation><mixed-citation xml:lang="en">Levin B. R. Statistical fundamentals of radio-engineering. Moscow: Radio i Svyaz’ Publ.; 1989. 656 p.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
