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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">sat</journal-id><journal-title-group><journal-title xml:lang="ru">НАУКА и ТЕХНИКА</journal-title><trans-title-group xml:lang="en"><trans-title>Science &amp; Technique</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2227-1031</issn><issn pub-type="epub">2414-0392</issn><publisher><publisher-name>Belarusian National Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/2227-1031-2025-24-2-143-151</article-id><article-id custom-type="elpub" pub-id-type="custom">sat-2851</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>ТРАНСПОРТ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TRANSPORT</subject></subj-group></article-categories><title-group><article-title>Исследование эффективности активной подвески грузового автомобиля со вспомогательными гидравлическими цилиндрами</article-title><trans-title-group xml:lang="en"><trans-title>Research on Truck Active Suspension Systems Effectiveness with Auxiliary Hydraulic Cylinders</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>Ле</surname><given-names>Ван Нгиа</given-names></name><name name-style="western" xml:lang="en"><surname>Le</surname><given-names>Van Nghia</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ханой</p></bio><bio xml:lang="en"><p>Hanoi</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>Чан</surname><given-names>Чонг Дат</given-names></name><name name-style="western" xml:lang="en"><surname>Tran</surname><given-names>Trong Dat</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ханой</p></bio><bio xml:lang="en"><p>Address for correspondence:</p><p>Tran Trong Dat –</p><p>Hanoi University of Science and Technology,</p><p>1, Dai Co Viet Street, 100000, Ha Noi, Viet Nam.</p><p>Tel.: +84 91 169-19-17</p><p>Dat.trantrong@hust.edu.vn</p></bio><email xlink:type="simple">Dat.trantrong@hust.edu.vn</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>Дам</surname><given-names>Хоанг Пхук</given-names></name><name name-style="western" xml:lang="en"><surname>Dam</surname><given-names>Hoang Phuc</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ханой</p></bio><bio xml:lang="en"><p>Hanoi</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>Харитончик</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kharytonchyk</surname><given-names>S. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, доцент</p><p>г. Минск</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>Кусяк</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kusyak</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кандидат технических наук, доцент</p><p>г. Минск</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Ханойский университет науки и технологий</institution><country>Вьетнам</country></aff><aff xml:lang="en"><institution>Hanoi University of Science and Technology</institution><country>Viet Nam</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Белорусский национальный технический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belаrusian National Technical University</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>16</day><month>04</month><year>2025</year></pub-date><volume>24</volume><issue>2</issue><fpage>143</fpage><lpage>151</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ле В.Н., Чан Ч.Д., Дам Х.П., Харитончик С.В., Кусяк В.А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Ле В.Н., Чан Ч.Д., Дам Х.П., Харитончик С.В., Кусяк В.А.</copyright-holder><copyright-holder xml:lang="en">Le V.N., Tran T.D., Dam H.P., Kharytonchyk S.V., Kusyak V.A.</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://sat.bntu.by/jour/article/view/2851">https://sat.bntu.by/jour/article/view/2851</self-uri><abstract><p>Колебания кузова автомобиля при преодолении неровностей дороги не только вызывают дискомфорт у водителя, но и негативно сказываются на качестве перевозимого груза. Многочисленные проведенные исследования, направленные на улучшение характеристик систем подрессоривания с целью повышения комфорта езды и устойчивости кузова автомобиля, показали, что оснащение грузовых транспортных средств активной подвеской является наиболее эффективным техническим решением для обеспечения комфортных условий труда водителя и сохранности транспортируемого груза. В данной статье акцент сфокусирован на моделировании и управлении активной подвеской грузового автомобиля в специализированном программном обеспечении с последующей оценкой ее эффективности по сравнению с традиционной пассивной подвеской. В частности, в работе представлена четвертная модель подвески автомобиля с интегрированной субмоделью вспомогательного гидравлического цилиндра, управляемого посредством программного ПИД-регулятора. Входные параметры моделируемой системы подрессоривания определялись в ходе натурных экспериментов с реальными транспортными средствами в лабораторных и дорожных условиях. Для подтверждения адекватности предложенной математической модели разработан сценарий и проведен эксперимент по измерению параметров колебаний кузова при преодолении грузовым автомобилем неровностей в режиме «пассивного» управления подвеской. Валидация модели позволила в дальнейшем сфокусироваться на исследовании эффективности активной подвески с ПИД-регулированием давления в рабочей полости вспомогательного гидравлического цилиндра и  сопоставлении полученных результатов с вариантом «пассивного» управления системой подрессоривания. Результаты исследования показали, что система активной подвески в сочетании с ПИД-алгоритмом управления давлением вспомогательного гидроцилиндра значительно улучшает оценочные показатели процесса затухания колебания кузова автомобиля. Так, время затухания колебаний кузова сокращается c 1,61 до 0,92 с, а максимальная амплитуда и среднее ускорение колебаний уменьшаются соответственно на 16,7 и 61,5 %. При этом коэффициент демпфирования системы уменьшается с 0,260 до 0,245 (приблизительно на 5,8 %), что в совокупности подтверждает эффективность разработанной в рамках данного исследования активной системы подрессоривания, а также способствует повышению общей производительности автомобиля с точки зрения устойчивости, безопасности и комфортабельности езды.</p></abstract><trans-abstract xml:lang="en"><p>The vehicle's body oscillation when traversing bumps not only causes driver discomfort but also negatively impacts the quality of the transported cargo. Consequently, numerous research studies have been conducted to improve suspension system characteristics with the goal of enhancing the vehicle’s ride comfort and body stability. The majority of them have shown that equipping trucks with an active suspension is the most effective technical solution for ensuring comfortable working conditions for driver and cargo safety. This paper focuses on modeling and controlling an active suspension system for a truck in specialized simulation software, followed by evaluating its effectiveness compared to traditional passive suspension. In particular, the paper presents a quarter-vehicle suspension model integrated with an auxiliary hydraulic cylinder submodel controlled by a PID controller. The input parameters of the simulated suspension system were determined during full-scale experiments with real vehicles in laboratory and road conditions. To confirm the adequacy of the proposed mathematical model an experimental scenario was designed for measuring the vehicle body's oscillation parameters when traversing a step bump in the “passive” suspension control mode. After validating the model, the study proceeded to investigate the effectiveness of the active suspension system with the auxiliary hydraulic cylinder pressure PID control and compare the obtained results with the “passive” control option of the suspension system. The survey results indicate that the active suspension system, in conjunction with the PID control algorithm, significantly improves key performance metrics of the system. Specifically, the study found a reduction in oscillation damping time from 1.61 sec to 0.92 sec, a 16.7 % decrease in maximum amplitude  of vehicle body oscillation and a substantial 61.5 % average reduction in vehicle body oscillation acceleration. On the other hand, in the active suspension system, the damping ratio also improved by about 5.8 % (from 0.260 to 0.245). These findings underscore the effectiveness of the active suspension system, as developed in this research, in enhancing the overall performance of the vehicle in terms of stability, safety, and ride comfort.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>грузовой автомобиль</kwd><kwd>активная подвеска</kwd><kwd>вспомогательный гидроцилиндр</kwd><kwd>ПИД-регулятор</kwd><kwd>1/4 модель подвески</kwd><kwd>математическое моделирование</kwd><kwd>полунатурный эксперимент</kwd><kwd>коэффициент демпфирования</kwd><kwd>характеристики затухания колебаний</kwd></kwd-group><kwd-group xml:lang="en"><kwd>truck</kwd><kwd>active suspension</kwd><kwd>auxiliary hydraulic cylinder</kwd><kwd>PID controller</kwd><kwd>1/4 suspension model</kwd><kwd>mathematical modeling</kwd><kwd>semi-natural experiment</kwd><kwd>damping ratio</kwd><kwd>damping characteristics</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This research is funded by the Hanoi University of Science and Technology under project number T2023-PC-023.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Soliman A., Kaldas M. 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