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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">bsuir</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады БГУИР</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady BGUIR</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1729-7648</issn><issn pub-type="epub">2708-0382</issn><publisher><publisher-name>БГУИР</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">bsuir-3077</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>ЭЛЕКТРОНИКА, РАДИОФИЗИКА, РАДИОТЕХНИКА, ИНФОРМАТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRONICS, RADIOPHYSICS, RADIOENGINEERING, INFORMATICS</subject></subj-group></article-categories><title-group><article-title>Методика  оптимизации положения робота-манипулятора в технологическом процессе лазерной  резки</article-title><trans-title-group xml:lang="en"><trans-title>Method of optimization of the  robot-manipulator position in the technological process of laser cutting</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>Кожевников</surname><given-names>М. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Kazheunikau</surname><given-names>M. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кожевников Михаил Михайлович, к.т.н.,  доцент,  заведующий кафедрой  автоматизации  технологических процессов  и производств</p><p>212027, г. Могилев, пр. Шмидта, 3тел. +375-29-240-75-99</p></bio><bio xml:lang="en"><p>Kazheunikau Mikhail Mikhailovich, PhD, Associate Professor, Head of  the  Department  of  Automation  of  Technological Processes  and  Production</p><p>212027, Mogilev, Shmidta str., 3tel. +375-29-240-75-99</p></bio><email xlink:type="simple">kmmk@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>Чумаков</surname><given-names>О. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Chumakou</surname><given-names>O. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к.т.н., доцент, доцент кафедры систем управления</p></bio><bio xml:lang="en"><p>PhD,  Associate  Professor, Associate  Professor  of  the  Control  System Department</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Илюшин</surname><given-names>И. Э.</given-names></name><name name-style="western" xml:lang="en"><surname>Iliushin</surname><given-names>I. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>старший  преподаватель  кафедры автоматизации  технологических  процессов  и производств </p></bio><bio xml:lang="en"><p>Senior  Lecturer  at  the  Department of Automation  of Technological  Processes  and Production </p><p>212027, Mogilev, Shmidta str., 3tel. +375-29-240-75-99</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Юркина</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Jurkina</surname><given-names>А. А.</given-names></name></name-alternatives><bio xml:lang="ru"><p>аспирант  кафедры  автоматизации технологических  процессов и  производств</p></bio><bio xml:lang="en"><p>Postgraduate  student  at  the Department  of  Automation  of Technological Processes  and  Production </p><p>212027, Mogilev, Shmidta str., 3tel. +375-29-240-75-99</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Могилевский государственный университет продовольствия</institution></aff><aff xml:lang="en"><institution>Mogilev State University of Food Technologies</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Белорусский государственный университет информатики и радиоэлектроники</institution></aff><aff xml:lang="en"><institution>Belorussian State University of Informatics and Radioelectronics</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>31</day><month>05</month><year>2021</year></pub-date><volume>19</volume><issue>3</issue><fpage>49</fpage><lpage>57</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кожевников М.М., Чумаков О.А., Илюшин И.Э., Юркина А.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Кожевников М.М., Чумаков О.А., Илюшин И.Э., Юркина А.А.</copyright-holder><copyright-holder xml:lang="en">Kazheunikau M.M., Chumakou O.A., Iliushin I.E., Jurkina А.А.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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://doklady.bsuir.by/jour/article/view/3077">https://doklady.bsuir.by/jour/article/view/3077</self-uri><abstract><p>Перспективным  направлением  модернизации  производственных  технологических процессов,  использующих  лазерную  резку  металлических  заготовок, является  создание роботизированных линий, выполняющих операции резки с высокой производительностью и точностью. Современные  роботы-манипуляторы  с  вращательными  осями  позволяют достаточно  эффективно ориентировать  инструмент  при  выполнении  операций  лазерной  резки,  однако  их  широкое  внедрение сдерживается  низкой  эффективностью  известных  подходов  к  компоновке  роботизированных  линий. Такие  подходы  основаны  на  применении  типовых  конструктивных  решений  с  дальнейшим  поиском движений  звеньев  робота  методом  проб  и  ошибок  и  зачастую  не  позволяют  обеспечить  необходимое качество траектории режущего инструмента. В данной работе предложена новая методика оптимизации положения  робота-манипулятора  относительно  контура  резки,  учитывающая,  по  сравнению с известными  подходами,  ограничения  на  возможности  движений  режущего  инструмента,  а  также кинематические  и  геометрические ограничения  на  движения  самого робота.  Предложенная  методика основана на кинематической модели робота-манипулятора и режущего инструмента и позволяет найти координаты  положения  базы  робота-манипулятора,  при  которых  он  сможет  перемещать  режущий инструмент вдоль контура резки с минимальным объемом движений всочленениях. Поиск оптимальных координат  положения  базы  робота-манипулятора  производится  в  два этапа.  На  первом  этапе  область допустимых значений координат базы дискретизируется с некоторымшагом, и для каждого дискретного значения  ищется  траектория,  на  которой  минимизируется  объем  движений  в  сочленениях  робота. При  этом  учитываются  технологические  ограничения  на  ориентацию режущего  инструмента относительно  контура  резки,  а  также  кинематические  и  геометрические  ограничения  на  движения робота-манипулятора.  На  втором этапе  выбирается  такая  позиция  базы,  которой  соответствует наименьшей  объем  движения  при  перемещении  технологического  инструмента  вдоль  контура  резки. Эффективность  использования  предложенной  методики  продемонстрирована  на  модельных  примерах. Методика  может  быть  применена  при  проектировании  новых  компоновок  роботизированных комплексов лазерной резки металлических заготовок для предприятий машиностроения.</p></abstract><trans-abstract xml:lang="en"><p>A promising direction for the production processes modernization which uses laser cutting of metal blanks is the creation of the robotic lines that perform cutting operations with high productivity and accuracy. Modern robotic manipulators with rotational axes allow to orientate the tool quite effectively when performing laser cutting operations, however, their widespread adoption isconstrained by the low efficiency of the known approaches to the layout of robotic lines. Such approaches are based on the use of standard design solutions with a further search for the robot links movements by trial and error, and often do not allow to ensure the required quality of the cutting tool path. In this paper, we propose a new technique for optimizing the robot-manipulator position relative to the cutting contour, which takes into account, compared with known approaches, constraints on  the  possibilities  of  the  cutting  tool  movements,  as  well  as kinematic  and  geometric  constraints  on  the movements of the robot itself. The proposed technique is based on a kinematic model of a robot manipulator and a cutting tool and allows finding the coordinates of the robot manipulator base position, at which it can move the cutting  tool  along  the  cutting  contour  with  a  minimum  range  of movements  in  the  joints.  The  search  of  the optimal  coordinates  of  the  robotic  manipulator  base  position  iscarried out in two stages. At the first stage, the area of admissible values of the coordinates of the base isdiscretized with a certain step and for each discrete value  it  is  a  trajectory  sought  on  which  the  range  of  movements in  the  joints  of  the  robot  is  minimized. This allows to take into account technological constraints on the orientation of the cutting tool relative to the cutting  contour,  as  well  as  kinematic  and  geometric  restrictions  on  the  movements  of  the  robot  manipulator. At the second stage a position of the base is selected which corresponds to the minimal volume of movement when  the  technological  tool  is  moving  along  the  cutting  contour.  The  effectiveness  of  the  proposed  method is demonstrated on model examples. The technique can be used inthe design of new layouts of robotic systems for laser cutting of metal blanks for mechanical engineering enterprises.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>робот-манипулятор</kwd><kwd>лазерная  резка</kwd><kwd>оптимизация  положения</kwd><kwd>технологические  ограничения.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>robot-manipulator</kwd><kwd>laser cutting</kwd><kwd>position optimization</kwd><kwd>technological constraints</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">Groover M. P. Automation, Production Systems and Computer-Integrated Manufacturing. 4th edition. Upper Saddle River, NJ: Prentice Hall; 2015.</mixed-citation><mixed-citation xml:lang="en">Groover  M.  P. Automation, Production Systems and Computer-Integrated Manufacturing. 4th edition. Upper Saddle River, NJ: Prentice Hall; 2015.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Moslemipour G., Lee T., Rilling D. A review of intelligent approaches for designing dynamic and robust layouts in flexible manufacturing systems. The International Journal of Advanced Manufacturing Technology.2012;60(1):11-27. DOI: 10.1007/s00170-011-3614-x</mixed-citation><mixed-citation xml:lang="en">Moslemipour G., Lee T., Rilling D. A review of intelligent approaches for designing dynamic and robust layouts  in  flexible  manufacturing  systems.  The International Journal of Advanced Manufacturing Technology. 2012;60(1):11-27. DOI: 10.1007/s00170-011-3614-x.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Dolgui А., Pashkevich A. Manipulator motion planning for high speed robotic laser cutting. International Journal of Production Research. 2009;47(20):5691-5715. DOI:. 10.1080/00207540802070967.</mixed-citation><mixed-citation xml:lang="en">Dolgui А., Pashkevich A. Manipulator motion planning for high speed robotic laser cutting. International Journal of Production Research. 2009;47(20):5691-5715. DOI:. 10.1080/00207540802070967.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Moharana B., Gupta R., Kushawaha B. Optimization and Design of a Laser-Cutting Machine using Delta Robot. International Journal of Engineering Trends and Technology. 2014;10(4):176-179. DOI:. 10.14445/22315381/IJETT-V10P233.</mixed-citation><mixed-citation xml:lang="en">Moharana B., Gupta R., Kushawaha B. Optimization and Design of a Laser-Cutting Machine using Delta Robot.  International Journal of Engineering Trends and Technology.  2014;10(4): 176-179. DOI:. 10.14445/22315381/IJETT-V10P233.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Geiger M., Kach A. Integration ofLaser Material Processing into the Computer-Aided Product and Process Development. Proceedings of the 3rd International Conference on Integrated Design and Manufacturing in Mechanical Engineering.2000:69. DOI: 10.1007/978-94-015-9966-5_31.</mixed-citation><mixed-citation xml:lang="en">Geiger M., Kach A. Integration ofLaser Material Processing into the Computer-Aided Product and Process Development. Proceedings of the 3rd International Conference on Integrated Design and Manufacturing in Mechanical Engineering.2000:69. DOI: 10.1007/978-94-015-9966-5_31.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Dolgui А., Pashkevich A. Manufacturing process planning for laser cutting robotic systems. Proceedings of the 17th World Congress The International Federation of Automatic Control. 2008:14822-14827. DOI: 10.3182/20080706-5-KR-1001.02509.</mixed-citation><mixed-citation xml:lang="en">Dolgui А., Pashkevich A. Manufacturing process planning for laser cutting robotic systems. Proceedings of the 17th World Congress The International Federation of Automatic Control.  2008:14822-14827. DOI: 10.3182/20080706-5-KR-1001.02509.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Qiao S., Liao Q., Wei S., Su H.J. Inverse kinematic analysis ofthe general 6R serial manipulators based on double quaternions. Mechanism and Machine Theory.2010;45(2):19-199. DOI: 10.1016/j.mechmachtheory.2009.05.013.</mixed-citation><mixed-citation xml:lang="en">Qiao S., Liao Q., Wei S., Su H.J. Inverse kinematic analysis ofthe general 6R serial manipulators based on double quaternions. Mechanism and Machine Theory.2010;45(2):19-199. DOI: 10.1016/j.mechmachtheory.2009.05.013.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Pashkevich A.P., Dolgui A.B., Chumakov O.A. Multiobjective optimization of robot motion for laser cutting applications. International Journal of Computer Integrated Manufacturing. 2004;17:171-183. DOI: 10.1080/0951192031000078202.</mixed-citation><mixed-citation xml:lang="en">Pashkevich  A.P.,  Dolgui  A.B.,  Chumakov  O.A.  Multiobjective  optimization  of  robot  motion  for  laser cutting  applications. International Journal of Computer Integrated Manufacturing. 2004;17:171-183. DOI: 10.1080/0951192031000078202.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Кожевников М.М., Чумаков О.А., Шеменков В.М., Илюшин И.Э. Методы и алгоритмы планирования траекторий роботов-манипуляторов для лазерной резки. Вестник БРУ. 2019;2:4-13.</mixed-citation><mixed-citation xml:lang="en">Kazheunikau M.M., Chuakou O.A., Shemenkov V.M., Iliushin I.E. [Methods and algorithms for planning trajectories of robotic manipulators for laser cutting]. Vestnk BRU. 2019;2:4-13. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Кожевников М.М., Чумаков О.А., Шеменков В.М., Илюшин И.Э., Юркина А.А. Оптимизация траекторий промышленных роботов-манипуляторов для лазерной резки. Вестник БРУ. 2020;2(67):21-30.</mixed-citation><mixed-citation xml:lang="en">Kazheunikau M.M., Chumakou O.A., Shemenkov V.M., Iliushin I.E.,Jurkina A.A. [Trajectory optimization of industrial robotic manipulators for laser cutting]. Vestnk BRU. 2020;2(67):21-30. (In Russ.)</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>
