Mathematical Model of the Track Depth Formation of a Forestry Tracked Vehicle
DOI:
https://doi.org/10.37482/0536-1036-2022-2-132-145Keywords:
continuous track, deformed soil, trail tractor, skidder, forwarder, load, draughtAbstract
The paper considers the effect of external forces acting on the tracked vehicle chassis and participating in the redistribution of normal reactions on the bearing surface of the continuous track. In the systematic operation of logging and forestry tracked vehicles, conditions may arise when only a part of the bearing surface of the continuous track transmits normal and tangential reactions. In combination with the focus transmission of normal loads, characterized by local maximum loads in the area of supporting rollers, the effect under consideration leads to an increase in overloads, as well as normal and tangential deformations of the soil. The fundamental works on the theory of motion of tracked vehicles practically do not consider this effect, but the results of observations on them and examples of its mathematical description in the related field, the theory of motion of transport vehicles, are known. The research purpose is to propose a mathematical model to estimate the track depth of a tracked vehicle, to predict the energy consumption in case of its motion on deformed forest soils, taking into account the effect of underutilization of the track support surface length in contact with the ground. The objects of research are the chassis of skidders, forwarders and harvesters based on tracked tractors, as well as the chassis of transporters-swamp buggies and other transport and transport technology machines used in logging and timber transportation industry. Conditions under which the epure of normal reactions under the track takes the form of a triangle and does not capture the bearing surface as a whole are formulated. Dependencies have been proposed to quantify the track depth to be formed, the value of work at the vertical deformation of the forest floor and the relative increase in the power of resistance to the motion of the chassis, depending on the relative effective length of the bearing surface. The results of calculations for cohesive and weakly cohesive soils are used as an illustration. The developed model is used independently; however, its integration into the method of the calculated estimation of the operating parameters of machine chassis is also possible.
For citation: Dobretsov R.Yu., Dobretsova S.B., Voinash S.A., Sokolova V.A. Mathematical Model of the Track Depth Formation of a Forestry Tracked Vehicle. Lesnoy Zhurnal [Russian Forestry Journal], 2022, no. 2, pp.132–145. DOI: 10.37482/0536-1036-2022-2-132-145
Downloads
References
Авотин Е.В., Добрецов Р.Ю. Методика расчета нормальных давлений на опорной поверхности гусеницы транспортной машины // Науч.-техн. вед. СП бГПУ . Сер.: Наука и образование. 2011. № 3. С. 103–108. Avotin E.V., Dobretsov R.Yu. Methods for Calculation of Normal Pressure, Acting on the Ground Contacting Area of the Track of the Transport Vehicle. Nauchno-tekhnicheskiye vedomosti SPbGPU. Ser.: Nauka i obrazovaniye [Materials Science. Power Engineering], 2011, no. 3, pp. 103–108.
Агейкин Я.С. Проходимость автомобилей. М.: Машиностроение, 1981. 230 с. Ageykin Ya.S. Passing Ability of Vehicles. Moscow, Mashinostroyeniye Publ., 1981. 230 p.
Акулов С.В., Дорогин С.В., Степанов В.Н. О сдвиге гусениц при прямолинейном движении танка // Вестн. бронетанковой техники. 1959. № 2. С. 48–52. Akulov S.V., Dorogin S.V., Stepanov V.N. On the Displacement of Tracks during Rectilinear Movement of a Tank. Vestnik bronetankovoy tekhniki, 1959, no. 2, pp. 48–52.
Анисимов Г.М., Кочнев А.М. Основные направления повышения эксплуатационной эффективности гусеничных трелевочных тракторов. СП б.: Политехн. ун-т, 2007. 455 с. Anisimov G.M., Kochnev A.M. Main Directions of Increasing the Operational Efficiency of Tracked Skidder. Saint Petersburg, SPbPU Publ., 2007. 455 p.
Беккер М.Г. Введение в теорию систем местность - машина: пер. с англ. М.: Машиностроение, 1973. 520 с. Becker M.G. Introduction to the Theory of Terrain-Machine Systems. Transl. from English. Moscow, Mashinostroyeniye, 1973. 520 p.
Веселов Н.Б. Вездеходные транспортно-технологические машины. Конструкции. Конструирование и расчет: моногр. Н. Новгород: РИ «Бегемот», 2010. 320 с. Veselov N.B. All-Terrain Transport and Technological Vehicles. Construction, Engineering and Calculation: Monograph. Nizhny Novgorod, RI “Begemot” Publ., 2010. 320 p.
Галышев Ю.В., Добрецов Р.Ю. Эффективность использования опорной поверхности гусеничного движителя при передаче нормальных нагрузок // Науч.-техн. вед. СП бГПУ . Сер.: Наука и образование. 2013. № 3(178). С. 272–278. Galishev Yu.V., Dobretsov R.Yu. Efficiency of the Usage of the Ground Contact Area of a Caterpillar Drive under Conditions of Transmitting the Normal Loads. Nauchno-tekhnicheskiye vedomosti SPbGPU. Ser.: Nauka i obrazovaniye [Materials Science. Power Engineering], 2013, no. 3(178), pp. 272–278.
Добрецов Р.Ю. Особенности работы гусеничного движителя в области малых удельных сил тяги // Тракторы и сельскохозяйственные машины. 2009. № 6. С. 25–31. Dobretsov R.Yu. Features of a Continuous Track in the Area of Low Specific Traction Forces. Traktory i sel’skokhozyaystvennyye mashiny, 2009, no. 6, pp. 25–31.
Добрецов Р.Ю. Объективная оценка технических характеристик шасси транспортных гусеничных машин // Тракторы и сельскохозяйственные машины. 2011. № 2. С. 19–23. Dobretsov R.Yu. Objective Assessment of Technical Characteristics of the Transport Caterpillar Vehicles’ Chassis. Traktory i sel’skokhozyaystvennyye mashiny, 2011, no. 2, pp. 19–23.
Добрецов Р.Ю. Модель взаимодействия гусеницы с грунтом при значительных продольных смещениях центра давления // Актуальные проблемы защиты и безопасности. Бронетанковая техника и вооружение: тр. XIX Всерос. науч.-практ. конф. Т. 3. / под ред. В.А. Петрова, М.В. Сильникова, А.М. Сазыкина. М.: Рос. акад. ракет. и артиллер. наук, 2016. C. 96–102. Dobretsov R.Yu. Model of Interaction of a Caterpillar with the Ground at Significant Longitudinal Displacements of the Pressure Center. Actual Problems of Protection and Safety. Armored Vehicles and Weapons. Proceedings of the XIX Scientific and Practical Conference. Vol. 3. Ed. by V.A. Petrov, M.V. Sil’nikov, A.M. Sazykin. Moscow, RARAN Publ., 2016, pp. 96–102.
Добрецов Р.Ю., Семёнов А.Г. О снижении перепадов нагрузки на опорное основание при качении гусеничного движителя // Экология и промышленность России. 2009. № 5. С. 46–49. Dobretsov R.Yu. The Ways of Reduction of Ecological Danger Due to Interaction of Vehicles Caterpillar Movers with Soilsю Ekologia i promyshlennost Rossii [Ecology and Industry of Russia], 2009, no. 5, pp. 46–49.
Добрецова С.Б., Добрецов Р.Ю. О выборе метода построения обобщенного отклика в задаче оценки энергоэффективности шасси транспортной гусеничной машины // Транспортные и транспортно-технологические системы. Тюмень: ТюмГНГУ, 2015. С. 99–103. Dobretsova S.B., Dobretsov R.Yu. On the Select Build Method of the Gen eralized Response in the Task of Assessing the Efficiency the Chassis of the Tracked Vehicle. Transport and Transport Technology Systems: Proceedings of the International Scientific and Practical Conference. Tyumen, TSOGU Publ., 2015, pp. 99–103.
Дорогин С.В., Карнаух В.П. Влияние размещения грунтозацепов на сопротивление движению ВГМ // Вестн. бронетанковой техники. 1989. № 11. С. 34–45. Dorogin S.V., Karnaukh V.P. Influence of the Placement of Grousers on the Resistance to Motion of Tracked Military Vehicles (VGM). Vestnik bronetankovoy tekhniki, 1989, no. 11, pp. 34–45.
Забавников Н.А. Основы теории транспортных гусеничных машин. М.: Машиностроение, 1975. 448 с. Zabavnikov N.A. Fundamentals of the Theory of Transport Tracked Vehicles. Moscow, Mashinostroyeniye Publ., 1975. 448 p.
Красненьков В.И., Ловцов Ю.И., Быко-Янко А.В. Нормальные давления под гусеницей // Тр. МВТУ им. Н.Э. Баумана. 1982. № 390. С. 3–12. Krasnen’kov V.I., Lovtsov Yu.I., Byko-Yanko A.V. Normal Pressures under the Track. Trudy MVTU imeni N.E. Baumana, 1982, no. 390, pp. 3–12.
Ксеневич И.П., Гуськов В.В., Бочаров Н.Ф., Атаманов Ю.Е., Тарасик В.П., Разумовский М.А. Тракторы. Проектирование, конструирование и расчет / под общ. ред. И.П. Ксеневича. М.: Машиностроение, 1991. 544 с. Ksenevich I.P., Gus’kov V.V., Bocharov N.F., Atamanov Yu.E., Tarasik V.P., Razumovskiy M.A. Tractors. Design, Construction and Calculation. Ed. by I.P. Ksenevich. Moscow, Mashinostroyeniye Publ., 1991. 544 p.
Куляшов А.П., Колотилин В.Е. Экологичность движителей транспортно-технологических машин. М.: Машиностроение, 1993. 288 с. Kulyashov A.P., Kolotilin V.E. Environmental Friendliness of Transport and Technological Vehicles. Moscow, Mashinostroyeniye Publ., 1993. 288 p.
Мазур А.И., Крюков В.В., Фадеев И.Ф. Механизм взаимодействия гусениц с грунтом // Вестн. бронетанковой техники. 1983. № 3. С. 52–55. Mazur A.I., Kryukov V.V., Fadeyev I.F. Mechanism of Interaction between Tracks and Ground. Vestnik bronetankovoy tekhniki, 1983, no. 3, pp. 52–55.
Носов С.В. Мобильные энергетические средства: выбор параметров и режимов работы через реологические свойства опорного основания: моногр. Липецк: ЛГТУ , 2006. 228 с. Nosov S.V. Mobile Power Facilities: The Choice of Parameters and Operating Modes through the Rheological Properties of the Support Base: Monograph. Lipetsk, LSTU Publ., 2006. 228 p.
Патякин В.И., Григорьев И.В., Редькин А.К., Иванов В.А., Пошарников Ф.В., Шегельман И.Р., Ширнин Ю.А., Кацадзе В.А., Валяжонков В.Д., Бит Ю.А., Матросов А.В., Куницкая О.А. Технология и машины лесосечных работ / под ред. В.И. Патякина. СП б.: СП бГЛТУ , 2012. 362 с. Patyakin V.I., Grigor’yev I.V., Red’kin A.K., Ivanov V.A., Posharnikov F.V., Shegel’man I.R., Shirnin Yu.A., Katsadze V.A., Valyazhonkov V.D., Bit Yu.A., Matrosov A.V., Kunitskaya O.A. Technology and Machines of Logging Operations. Ed. by V.I. Pyatyakin. Saint Petersburg, SPbFTU Publ., 2012. 362 p.
Расчет сопротивления движению гусеничной машины // Зарубежная военная техника. Сер. III: Бронетанковая техника и вооружение. 1977. Вып. 1. С. 25–27. Calculation of the Motion Resistance of a Tracked Vehicle. Zarubezhnaya voyennaya tekhnika. Ser. III: Bronetankovaya tekhnika i vooruzheniye, 1977, iss. 1, pp. 25–27.
Скотников В.А., Мащенский А.А., Солонский А.С. Основы теории и расчета трактора и автомобиля / под ред. В.А. С котникова. М.: Агропромиздат, 1986. 383 с. Skotnikov V.A., Mashchenskiy A.A., Solonskiy A.S. Fundamentals of Theory and Calculation of a Tractor and a Vehicle. Ed. by V.A. Skotnikov. Moscow, Agropromizdat Publ., 1986. 383 p.
Шарипов В.М. Конструирование и расчет тракторов. 2-е изд., перераб. и доп. М.: Машиностроение, 2009. 752 с. Sharipov V.M. Design and Calculation of Tractors. Moscow, Mashinostroyeniye Publ., 2009. 752 p.
Шеломов В.Б. Теория движения многоцелевых гусеничных и колесных машин. Тяговый расчет криволинейного движения. СП б.: Политехн. ун-т, 2013. 90 с. Shelomov V.B. Theory of Motion of Multipurpose Tracked and Wheeled Vehicles. Traction Calculation of Curvilinear Motion. Saint Petersburg, SPbPU Publ., 2013. 90 p.
Björheden R. Rutting and Vibration Levels of the On Track Concept Forwarder on Standardised Test Tracks. Arbetsrapport 989. Uppsala, Skogforsk, 2018. 28 p.
Bygdén G., Eliasson L., Wästerlund I. Rut Depth, Soil Compaction and Rolling Resistance when Using Bogie Tracks. Journal of Terramechanics, 2003, vol. 40, iss. 3, pp. 179–190. DOI: https://doi.org/10.1016/j.jterra.2003.12.001
Cambi M., Certini G., Neri F., Marchi E. The Impact of Heavy Traffic on Forest Soils: A Review. Forest Ecology and Management, 2015, vol. 338, pp. 124–138. DOI: https://doi.org/10.1016/j.foreco.2014.11.022
Edlund J., Keramati E., Servin M. A Long-Tracked Bogie Design for Forestry Machines on Soft and Rough Terrain. Journal of Terramechanics, 2013, vol. 50, iss. 2, pp. 73–83. DOI: https://doi.org/10.1016/j.jterra.2013.02.001
Gerasimov Yu., Katarov V. Effect of Bogie Track and Slash Reinforcement on Sinkage and Soil Compaction in Soft Terrains. Croatian Journal of Forest Engineering, 2010, vol. 31, iss. 1, pp. 35–45.
Grigorev I., Burmistrova O., Stepanishcheva M., Gasparian G. The Way to Reduce Ecological Impact on Forest Soils Caused by Wood Skidding. Proceedings of the 14th SGEM GeoConference on Water Resources. Forest, Marine and Ocean Ecosystems. Sofia, Bulgaria, STEF92 Technology Ltd., 2014, vol. 2, no. SGEM2014, pp. 501–508. DOI: https://doi.org/10.5593/SGEM2014/B32/S14.067
Grigorev I., Khitrov E., Kalistratov A., Stepanishcheva M. Dependence of Filtration Coefficient of Forest Soils to Its Density. Proceedings of the 14th SGEM Geo-Conference on Water Resources. Forest, Marine and Ocean Ecosystems. Sofia, Bulgaria, STEF92 Technology Ltd., 2014, pp. 339–344. DOI: https://doi.org/10.5593/SGEM2014/B32/S14.046
Haas J., Ellhöft K.H., Schack-Kirchner H., Lang F. Using Photogrammetry to Assess Rutting Caused by a Forwarder – A Comparison of Different Tires and Bogie Tracks. Soil and Tillage Research, 2016, vol. 163, pp. 14–20. DOI: https://doi.org/10.1016/j.still.2016.04.008
Huat B.B.K., Prasad A., Asadi A., Kazemian S. Geotechnics of Organic Soils and Peat. London, CRC Press, 2014. 250 p. DOI: https://doi.org/10.1201/b15627
Ivanov V., Stepanishcheva M., Khitrov E., Iliushenko D. Theoretical Model for Evaluation of Tractive Performance of Forestry Machine’s Wheel. Proceedings of the 18th International Multidisciplinary Scientific GeoConference SGEM: Surveying Geology and Mining Ecology Management. Sofia, Bulgaria, 2018, vol. 18, pp. 997–1003. DOI: https://doi.org/10.5593/sgem2018/3.2/S14.127
Jarkko L. Design Parameter Analysis of the Bogie Track Surface Pressure in Peatland Forest Operations. Master of Science Thesis. Tampere, TTY, 2018. 73 p.
Khitrov E., Andronov A., Bogatova E., Kotenev E. Development of Recommendations on Environmental Certification of Forestry Machinery Drives. Proceedings of the 19th International Multidisciplinary Scientific GeoConference SGEM: Surveying Geology and Mining Ecology Management. Sofia, Bulgaria, 2019, vol. 19, pp. 689–696. DOI: https://doi.org/10.5593/sgem2019/3.2/S14.089
Khitrov E., Andronov A., Iliushenko D., Kotenev E. Comparing Approaches of Calculating Soil Pressure of Forestry Machines. Proceedings of the 19th International Multidisciplinary Scientific GeoConference SGEM: Surveying Geology and Mining Ecology Management. Sofia, Bulgaria, 2019, vol. 19, pp. 649–655. DOI: https://doi.org/10.5593/sgem2019/3.2/S14.084
Khitrov E., Ivanov V., Stepanishcheva M., Kochnev A. Linking the Deformation Moduli and Cone Indices of Forest and Peatland Soils. Proceedings of the 18th International Multidisciplinary Scientific GeoConference SGEM: Surveying Geology and Mining Ecology Management. Sofia, Bulgaria, 2018, vol. 18, pp. 297–304. DOI: https://doi.org/10.5593/sgem2018/3.2/S13.039
Wong J.Y. Theory of Ground Vehicles. Wiley, 2001. 528 р.
Wong J.Y., Huang W. “Wheels vs. Tracks” – A Fundamental Evaluation from the Traction Perspective. Journal of Terramechanics, 2006, vol. 43, iss. 1, pp. 27–42. DOI: https://doi.org/10.1016/j.jterra.2004.08.003