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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">vimjour</journal-id><journal-title-group><journal-title xml:lang="ru">Сельскохозяйственные машины и технологии</journal-title><trans-title-group xml:lang="en"><trans-title>Agricultural Machinery and Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-7599</issn><publisher><publisher-name>Federal State Budgetary Scientific Institution «Federal Scientific Agroengineering Center VIM»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22314/2073-7599-2024-18-3-63-74</article-id><article-id custom-type="edn" pub-id-type="custom">FNNREO</article-id><article-id custom-type="elpub" pub-id-type="custom">vimjour-604</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>ИННОВАЦИОННЫЕ ТЕХНОЛОГИИ И ОБОРУДОВАНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>INNOVATIVE TECHNOLOGIES AND EQUIPMENT</subject></subj-group></article-categories><title-group><article-title>Численное моделирование защитного опрыскивания беспилотными воздушными судами вертолетного типа</article-title><trans-title-group xml:lang="en"><trans-title>Numerical Simulation of Protective Spraying by Helicopter-Type Unmanned Aerial Vehicles</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>Асовский</surname><given-names>В. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Asovsky</surname><given-names>V. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Валерий Павлович Асовский, доктор технических наук, ученый секретарь</p><p>г. Краснодар</p></bio><bio xml:lang="en"><p>Valery P. Asovsky, Dr.Sc.(Eng.), scientific secretary</p><p>Krasnodar</p></bio><email xlink:type="simple">asovsky@panh.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>Кузьменко</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Kuzmenko</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алла Сергеевна Кузьменко, кандидат технических наук, доцент</p><p>г. Таганрог</p></bio><bio xml:lang="en"><p>Alla S. Kuzmenko, Ph.D.(Eng.), associate professor</p><p>Taganrog</p></bio><email xlink:type="simple">all7212@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Научно-производственная компания «ПАНХ»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>PANH Helicopters</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Южный федеральный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Southern Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>25</day><month>09</month><year>2024</year></pub-date><volume>18</volume><issue>3</issue><fpage>63</fpage><lpage>74</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Асовский В.П., Кузьменко А.С., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Асовский В.П., Кузьменко А.С.</copyright-holder><copyright-holder xml:lang="en">Asovsky V.P., Kuzmenko A.S.</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://www.vimsmit.com/jour/article/view/604">https://www.vimsmit.com/jour/article/view/604</self-uri><abstract><p>Показали общие перспективы использования беспилотных воздушных судов для внесения пестицидов и агрохимикатов. Отметили актуальные проблемы внедрения таких воздушных судов, в том числе создание и использование средств адекватного моделирования процессов и показателей внесения препаратов мультикоптерами, а также особенности выполненных исследований в этой области. (Цель исследований) Разработать и апробировать прикладные программные средства численного моделирования процессов и показателей защитного опрыскивания мультикоптерами сельскохозяйственных объектов. (Материалы и методы) Использовали научно-техническую информацию, экспериментальные данные, методы системного анализа, прикладной статистики, математического моделирования физических объектов и процессов, решения дифференциальных и интегральных уравнений для описания процессов с применением отработанных ранее методических подходов к изучению авиационного распределения веществ. (Результаты и обсуждение) Разработан расчетно-программный комплекс моделирования процессов и показателей опрыскивания мультикоптерами, представлена его укрупненная функциональная блок-схема. Показали особенности реализации основных блоков и модулей комплекса по моделированию индуктивного следа мультикоптера, осаждению капель, показателей внесения рабочих жидкостей и сплошной обработки участков. Подтвердили адекватность, достоверность и приемлемую точность результатов моделирования в сравнении с экспериментальными данными. Представили данные корреляционного и множественного регрессионного анализа полученного массива результатов многовариантного численного моделирования защитного опрыскивания на примере гексакоптера DJI Agras T20. (Выводы) Подтвердили работоспособность и возможность использования разработанного и апробированного расчетно-программного комплекса численного моделирования защитного опрыскивания для решения научно-практических задач, связанных с внедрением мультикоптеров в агропроизводстве. Определили качественные и количественные соотношения между отдельными параметрами и целевыми показателями защитного опрыскивания с мультикоптеров, а также значимые многопараметрические степенные регрессий для оценки целевых показателей опрыскивания.</p></abstract><trans-abstract xml:lang="en"><p>The paper outlines the potential applications of unmanned aerial vehicles for the delivery of pesticides and agrochemicals. It addresses key challenges in implementing UAV technology, particularly the development and use of accurate modeling tools for predicting application processes and indicators. Additionally, the paper discusses the unique aspects of research conducted in this field. (Research purpose) The study aims to develop and test application software for numerical modeling of the processes and indicators involved in protective spraying of agricultural targets using multicopters. (Materials and methods) The paper integrates scientific and technical information, experimental data, system analysis methods, applied statistics, mathematical modeling of physical objects and processes, and solutions to differential and integral equations. These tools are used to describe the processes, building on previously developed methodological approaches for studying the aerial distribution of substances. (Results and discussion) A software package for modeling the processes and parameters of spraying by multicopters has been developed, with its detailed functional block diagram provided. The paper illustrates the implementation features of the system’s main blocks and modules, including modeling the inductive wave of a multicopter, droplet deposition, working fluid application indicators and fullarea coverage. The adequacy, reliability, and acceptable accuracy of the modeling results are validated through comparison with experimental data. The paper presents the results of correlation and multiple regression analyses obtained through multivariate numerical modeling, using the DJI Agras T20 hexacopter as an example for protective spraying. (Conclusions) The paper confirms the functionality and potential of the developed and tested computational and software system for numerical modeling of protective spraying. This system is designed to address both scientific and practical challenges related to the implementation of multicopters in agricultural production. The study identifies qualitative and quantitative relationships between individual parameters and target indicators of protective spraying from multicopters. Additionally, significant multi-parameter power regressions are determined for assessing the target indicators of spraying.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>беспилотное воздушное судно</kwd><kwd>сельскохозяйственное производство</kwd><kwd>защитное опрыскивание</kwd><kwd>моделирование процессов</kwd><kwd>норма внесения</kwd><kwd>качество внесения</kwd><kwd>эффективность обработки</kwd></kwd-group><kwd-group xml:lang="en"><kwd>unmanned aerial vehicle</kwd><kwd>agricultural production</kwd><kwd>protective spraying</kwd><kwd>process modeling</kwd><kwd>application rate</kwd><kwd>application quality</kwd><kwd>processing effi ciency</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">Del Cerro J., Cruz Ulloa C., Barrientos A. et al. Unmanned aerial vehicles in agriculture: A survey. Agronomy. 2021. 11(2). 203. 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