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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">sibadi</journal-id><journal-title-group><journal-title xml:lang="ru">Научный рецензируемый журнал "Вестник СибАДИ"</journal-title><trans-title-group xml:lang="en"><trans-title>The Russian Automobile and Highway Industry Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2071-7296</issn><issn pub-type="epub">2658-5626</issn><publisher><publisher-name>The Siberian State Automobile and Highway University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26518/2071-7296-2018-3-400-411</article-id><article-id custom-type="elpub" pub-id-type="custom">sibadi-671</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>МАТЕМАТИЧЕСКОЕ И КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ ГИДРАВЛИЧЕСКОГО ТОРМОЗА-ЗАМЕДЛИТЕЛЯ ГРУЗОВОГО АВТОМОБИЛЯ</article-title><trans-title-group xml:lang="en"><trans-title>MATHEMATICAL AND COMPUTER SIMULATION OF THE COMMERTIAL VEHICLE’S HYDRAULIC RETARDER</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>Ковалёв</surname><given-names>И. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Kovalev</surname><given-names>I. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ковалёв Илья Сергеевич – магистрант кафедры «Системный анализ и информатика»; инженер-конструктор службы конструкторских и научно-исследовательских расчётов.</p><p>423822, Набережные Челны, пр. Мира, 16а; 423800, Набережные Челны, Транспортный проезд, 70</p></bio><bio xml:lang="en"><p>Kovalev Ilia Sergeevich – Master Student of the System Analysis and Informatics Department, Kazan (Volga) FU; Design Engineer of Research Calculations, R&amp;D KAMAZ Centre.</p><p>423822, 16а,Mira Ave., Nabereznye Chelny; 423800, 70,Transportnyj Pas., Nabereznye Chelny</p></bio><email xlink:type="simple">kovalevis@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ФГАОУ ВО «Казанский (Приволжский) федеральный университет»; Научно-технический центр ПАО «КАМАЗ»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kazan (Volga) Federal University, R&amp;D KAMAZ Centre</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>11</day><month>07</month><year>2018</year></pub-date><volume>15</volume><issue>3</issue><fpage>400</fpage><lpage>411</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ковалёв И.С., 2018</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="ru">Ковалёв И.С.</copyright-holder><copyright-holder xml:lang="en">Kovalev I.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://vestnik.sibadi.org/jour/article/view/671">https://vestnik.sibadi.org/jour/article/view/671</self-uri><abstract><sec><title>Введение</title><p>Введение. В данной статье представлена математическая модель гидравлического тормоза-замедлителя грузового автомобиля. Модель тормоза-замедлителя разработана на основе математической модели стендового гидротормоза, которая описывает гидродинамические процессы в проточной области гидротормоза, в том числе и процессы её заполнения и опустошения.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Модель тормоза-замедлителя была разработана с учётом возможности её последующей интеграции с моделью системы охлаждения двигателя. Для этого в модель было добавлено уравнение состояния, характеризующее изменение температуры жидкости в проточной области при преобразовании механической энергии ротора в тепловую и переносе тепла с потоком жидкости по контуру системы охлаждения.Из-за отсутствия ограничения на заполнение проточной области в модели гидротормоза в математическую модель тормоза-замедлителя добавлен эффект сжатия жидкости при полном заполнении, который препятствует дальнейшему наполнению проточной области.</p></sec><sec><title>Результаты</title><p>Результаты. Компьютерная модель тормоза-замедлителя реализована на языке программирования С для применения в среде имитационного моделирования LMSAmesim. Для проверки работоспособности модели тормоза-замедлителя она была интегрирована с компьютерными моделями двигателя, системы охлаждения двигателя и динамики движения автомобиля. Синтезирован алгоритм управления тормозом-замедлителем на базе ПИ-регуляторов.</p></sec><sec><title>Обсуждение</title><p>Обсуждение. Компьютерная модель тормоза-замедлителя корректно функционирует: при длительном торможении наблюдается повышение температуры жидкости в контуре системы охлаждения. Переполнения проточной области тормоза-замедлителя не происходит благодаря добавленному эффекту увеличения давления жидкости от сжатия. Заключение. Разработанная модель может быть использована для исследования влияние конструкции тормоза-замедлителя на функционирование автомобиля и для разработки алгоритмов управления тормозом-замедлителем.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The article represents the mathematical model of commercial vehicle’s hydraulic retarder. The model is based on the mathematical model of the variable filling hydraulic dynamometer.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The retarder model was designed with the possibility of its integration with the mathematical model of the engine cooling system. For this purpose, the state function of fluid temperature in a working chamber of the retarder was added to the retarder model. Consequently, fluid compression in the working chamber was included into the model to avoid unlimited filling because of possible high pressure at the retarder inlet.</p></sec><sec><title>Results</title><p>Results. The simulation model of the retarder was established as LMS Amesim submodel using C-programming language. For testing, the retarder simulation model was integrated with the Amesim models of the engine cooling system and with the powertrain and vehicle movement dynamics. In addition, brake torque regulation wassynthesized on PI controllers.</p><p>Discussion and conclusions. During simulation of the vehicle movement on the mountain route expectable results were obtain, such as continuous braking via the retarder, which led to increasing of the cooling system’s fluid temperature. Therefore, overfilling of the retarder working chamber didn’t occur through the fluid compression. The retarder model could be applied to determine retarder design influence at vehicle functioning. For instance, it could be used for development of the algorithms’ control.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>гидравлический тормоз-замедлитель</kwd><kwd>математическая модель</kwd><kwd>грузовые автомобили</kwd><kwd>управление торможением</kwd><kwd>система охлаждения</kwd><kwd>терморегулирование</kwd><kwd>компьютерное моделирование</kwd><kwd>Amesim</kwd></kwd-group><kwd-group xml:lang="en"><kwd>hydraulic retarder</kwd><kwd>mathematical model</kwd><kwd>commercial vehicle</kwd><kwd>brakingcontrol</kwd><kwd>cooling system</kwd><kwd>thermal management</kwd><kwd>computer simulation</kwd><kwd>Amesim</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">Braking performance and noise in excessive worn brake discs coated with HVOF thermal spray process / A. Öz [и др.] // Journal of Mechanical Science and Technology. 2017. Т. 31. № 2. С. 535-543.</mixed-citation><mixed-citation xml:lang="en">Öz, A., Gürbüz, H., Yakut, A. K., and Sağiroğlu, S. Braking performance and noise in excessive worn brake discs coated with HVOF thermal spray process. Journal of Mechanical Science and Technology, 2017, vol. 31, no. 2, pp. 535–543.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Zheng H. Hydraulic retarders for heavy vehicles: Analysis of fluid mechanics and computational fluid dynamics on braking torque and temperature rise / H. Zheng, Y. Lei, P. Song // International Journal of Automotive Technology. 2017. Т. 18. Hydraulic retarders for heavy vehicles. № 3. С. 387-396.</mixed-citation><mixed-citation xml:lang="en">Zheng, H., Lei, Y., and Song, P. Hydraulic retarders for heavy vehicles: Analysis of fluid mechanics and computational fluid dynamics on braking torque and temperature rise.International Journal of Automotive Technology, 2017, vol. 18, no. 3, pp. 387–396.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Analysis of unsteady rotor-stator flow with variable viscosity based on experiments and CFD simulations / C. Liu [и др.] // Numerical Heat Transfer; Part A: Applications. 2015. Т. 68. № 12. С. 1351-1368.</mixed-citation><mixed-citation xml:lang="en">Liu, C., Xu, D., Ma, W., Yuan, Z., and Li, X. Analysis of unsteady rotor-stator flowwith variable viscosity based on experiments and CFD simulations. Numerical Heat Transfer; Part A: Applications, 2015, vol. 68, no. 12, pp. 1351–1368.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Hur N. Flow and performance analyses of a partially-charged water retarder / N. Hur, M. Moshfeghi, W. Lee // Computers &amp; Fluids. 2018. Т. 164. С. 18-26.</mixed-citation><mixed-citation xml:lang="en">Hur N., MoshfeghiM., and LeeW. Flow and performance analyses of a partially-charged water retarder.Computers&amp; Fluids, 2018,vol. 164, pp. 18-26.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Liu C. Numerical investigation on effects of thermophysical properties on fluid flow in hydraulic retarder / C. Liu, W. Bu, T. Wang // International Journal of Heat and Mass Transfer. 2017. Т. 114. С. 1146-1158.</mixed-citation><mixed-citation xml:lang="en">Liu C. Numerical investigation on effects of thermophysical properties on fluid flow in hydraulic retarder / C. Liu, W. Bu, T. Wang // International Journal of Heat and Mass Transfer. 2017. Т. 114. С. 1146-1158.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Wang K. Research on parametric design of hydraulic retarder based on multi-field coupling of heat, fluid and solid / K. Wang, J. Tang, G. Li // Open Mechanical Engineering Journal. 2015. Т. 9. № 1. С. 58-64.</mixed-citation><mixed-citation xml:lang="en">Wang, K., Tang, J., and Li, G. Research on parametric design of hydraulic retarder based on multi-field coupling of heat, fluid and solid. Open Mechanical Engineering Journal, 2015, vol. 9, no. 1, pp. 58–64.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Mu H. Study on influence of inlet and outlet flow rates on oil pressures and braking torque in a hydrodynamic retarder / H. Mu, Q. Yan, W. Wei // International Journal of Numerical Methods for Heat and Fluid Flow. 2017. Т. 27. № 11. С. 25442564.</mixed-citation><mixed-citation xml:lang="en">Mu, H., Yan, Q., and Wei, W. Study on influ ence of inlet and outlet flowrates on oil pressures and braking torque in a hydrodynamic retarder. International Journal of Numerical Methods for Heat and Fluid Flow, 2017, vol. 27, no. 11, pp. 2544–2564.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Study on reconstruction and prediction methods of pressure field on blade surfaces for oil-filling process in a hydrodynamic retarder / H. Mu [и др.] // International Journal of Numerical Methods for Heat and Fluid Flow. 2016. Т. 26. № 6. С. 1843-1870.</mixed-citation><mixed-citation xml:lang="en">Mu, H., Wei, W., Untaroiu, A., and Yan, Q. Study on reconstruction and prediction methods of pressure field on blade surfaces for oil-filling process in a hydrodynamic retarder. International Journal of Numerical Methods for Heat and Fluid Flow, 2016, vol. 26, no. 6, pp. 1843–1870.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Temperature field analysis on the hydrodynamic retarder of heavy vehicle / Z. Yuan [и др.] // Advanced Materials Research. 2012. Тт. 503504. С. 1025-1028.</mixed-citation><mixed-citation xml:lang="en">Yuan, Z., Ma, W., Cai, W., Fan, L., and Song, J. Temperature fieldanalysis on the hydrodynamic retarder of heavy vehicle.Advanced Materials Research, 2012, vol. 503–504, pp. 1025–1028.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">The experimental study of unload on temperature characteristics of hydraulic retarder / C. Wu [и др.] // Applied Mechanics and Materials. 2014. Т. 620. С. 255-261.</mixed-citation><mixed-citation xml:lang="en">Wu, C., Song, Z. C., Tang, S. S., and Shan, W. G. The experimental study of unload on temperature characteristics of hydraulic retarder. Applied Mechanics and Materials, 2014, vol. 620, pp. 255–261.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Zheng H.-P. Water medium retarders for heavy-duty vehicles: Computational fluid dynamics and experimental analysis of filling ratio control method / H.-P. Zheng, Y.-L. Lei, P.-X. Song // Journal of Hydrodynamics. 2017. Т. 29. Water medium retarders for heavy-duty vehicles. № 6. С. 1067-1075.</mixed-citation><mixed-citation xml:lang="en">Zheng, H.-P., Lei, Y.-L., and Song, P.-X.Water medium retarders for heavy-duty vehicles: Computational fluid dynamics and experimental analysis of filling ratio control method.Journal of Hydrodynamics, 2017, vol. 29, no. 6, pp. 1067– 1075.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Application of fuzzy logic in constant speed control of hydraulic retarder / Y. Lei [и др.] // Advances in Mechanical Engineering. 2017. Т. 9. № 2.</mixed-citation><mixed-citation xml:lang="en">Lei, Y., Song, P., Zheng, H., Fu, Y., Li, X., and Song, B. Application of fuzzy logic in constant speed control of hydraulic retarder.Advances in Mechanical Engineering, 2017, vol. 9, no. 2.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Zheng H. Design of a filling ratio observer for a hydraulic retarder: An analysis of vehicle thermal management and dynamic braking system / H. Zheng, Y. Lei, P. Song // Advances in Mechanical Engineering. 2016. Т. 8. Design of a filling ratio observer for a hydraulic retarder. № 10. С. 1-8.</mixed-citation><mixed-citation xml:lang="en">Zheng, H., Lei, Y., and Song, P. Design of a filling ratio observer for a hydraulic retarder: An analysis of vehicle thermal management and dynamic braking system.Advances in Mechanical Engineering, 2016, vol. 8, no. 10, pp. 1–8.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Effects of blade lean angle on a hydraulic retarder / M. Chen [и др.] // Advances in Mechanical Engineering. 2016. Т. 8. № 5. С. 1-9.</mixed-citation><mixed-citation xml:lang="en">Chen, M., Guo, X., Tan, G., Pei, X., and Zhang, W. Effects of blade lean angle on a hydraulic retarder.Advances in Mechanical Engineering, 2016, vol. 8, no. 5, pp. 1–9.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Raine J.K. Computer Simulation of a Variable Fill Hydraulic Dynamometer. Part 1 : torque absorption theory and the influence of working compartment geometry on performance / J.K. Raine, P.G. Hodgson // Journal of Mechanical Engineering Science. 1991. Т. 205. № 3. С. 155-163.</mixed-citation><mixed-citation xml:lang="en">Raine, J. K. and Hodgson, P. G. Computer Simulation of a Variable Fill Hydraulic Dynamometer. Part 1 : torque absorption theory and the influence of working compartment geometry on performance.Journal of Mechanical Engineering Science, 1991, vol. 205, no. 3, pp. 155–163.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Hodgson P.G. Computer Simulation of a Variable Fill Hydraulic Dynamometer. Part 2: Steady State and Dynamic Open-Loop Performance / P.G. Hodgson, J.K. Raine // Journal of Mechanical Engineering Science. 1992. Т. 206. № 1. С. 49-56.</mixed-citation><mixed-citation xml:lang="en">Hodgson, P. G. and Raine, J. K. Computer Simulation of a Variable Fill Hydraulic Dynamometer. Part 2: Steady State and Dynamic OpenLoop Performance.Journal of Mechanical Engineering Science, 1992, vol. 206, no. 1, pp. 49–56.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Hodgson P.G. Computer Simulation of a Variable Fill Hydraulic Dynamometer. Part 3: Closed-Loop Performance / P.G. Hodgson, J.K. Raine // Journal of Mechanical Engineering Science. 1992. Т. 206. № 5. С. 327-336.</mixed-citation><mixed-citation xml:lang="en">Hodgson, P. G. and Raine, J. K., Computer Simulation of a Variable Fill Hydraulic Dynamometer. Part 3: Closed-Loop Performance.Journal of Mechanical Engineering Science, 1992, vol. 206, no. 5, pp. 327–336.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Fundamentals of Fluid Mechanics / B.R. Munson [и др.]. Hoboken, NJ: Wiley, 2012. 792 с.</mixed-citation><mixed-citation xml:lang="en">Munson, B. R., Rothmayer, A. P., Okiishi, T. H., and Huebsch, W. W., Fundamentals of Fluid Mechanics, 7 edition. Hoboken, NJ: Wiley, 2012.</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>
