Mathematical model to calculate the critical value of the angle of gradient for a tractor-mounted tilther

The article is devoted to the search for a mathematical model convenient for practical calculations to determine the critical value of the angle of gradient for the tractor-mounted heavy tilther. It shows the existing mathematical model, which is then refined based on the stiffness of the elastic tr...

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Main Authors: Kudzaev Anatolii, Tsgoev Alan, Korobeynik Ivan, Kalagova Rita, Urtaev Taimuraz
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/70/e3sconf_itse2020_08004.pdf
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author Kudzaev Anatolii
Tsgoev Alan
Korobeynik Ivan
Kalagova Rita
Urtaev Taimuraz
author_facet Kudzaev Anatolii
Tsgoev Alan
Korobeynik Ivan
Kalagova Rita
Urtaev Taimuraz
author_sort Kudzaev Anatolii
collection DOAJ
description The article is devoted to the search for a mathematical model convenient for practical calculations to determine the critical value of the angle of gradient for the tractor-mounted heavy tilther. It shows the existing mathematical model, which is then refined based on the stiffness of the elastic tractor wheels and their vertical reactions offset. Three methods of solving the resulting equations are analyzed, upon which the optimal one is chosen. As a result, a simple and convenient in practice mathematical model to determine the critical value of the angle of gradient for the tractor-mounted implement is obtained. The analysis of the calculation results showed that depending on the operating conditions and the weight of the tractor counterweight, the differences between the results calculated using the traditional and refined models can reach more than 4 degrees, which is very important to ensure the hill climbing safety.
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spelling doaj.art-d6cec62a2a274aedb49946a08e1dc8f92022-12-21T22:52:26ZengEDP SciencesE3S Web of Conferences2267-12422020-01-012100800410.1051/e3sconf/202021008004e3sconf_itse2020_08004Mathematical model to calculate the critical value of the angle of gradient for a tractor-mounted tiltherKudzaev Anatolii0Tsgoev Alan1Korobeynik Ivan2Kalagova Rita3Urtaev Taimuraz4Gorsky State Agrarian UniversityGorsky State Agrarian UniversityGorsky State Agrarian UniversityState Budgetary Educational Institution of Higher Professional Education “North-Caucasus State Medical Academy”Gorsky State Agrarian UniversityThe article is devoted to the search for a mathematical model convenient for practical calculations to determine the critical value of the angle of gradient for the tractor-mounted heavy tilther. It shows the existing mathematical model, which is then refined based on the stiffness of the elastic tractor wheels and their vertical reactions offset. Three methods of solving the resulting equations are analyzed, upon which the optimal one is chosen. As a result, a simple and convenient in practice mathematical model to determine the critical value of the angle of gradient for the tractor-mounted implement is obtained. The analysis of the calculation results showed that depending on the operating conditions and the weight of the tractor counterweight, the differences between the results calculated using the traditional and refined models can reach more than 4 degrees, which is very important to ensure the hill climbing safety.https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/70/e3sconf_itse2020_08004.pdf
spellingShingle Kudzaev Anatolii
Tsgoev Alan
Korobeynik Ivan
Kalagova Rita
Urtaev Taimuraz
Mathematical model to calculate the critical value of the angle of gradient for a tractor-mounted tilther
E3S Web of Conferences
title Mathematical model to calculate the critical value of the angle of gradient for a tractor-mounted tilther
title_full Mathematical model to calculate the critical value of the angle of gradient for a tractor-mounted tilther
title_fullStr Mathematical model to calculate the critical value of the angle of gradient for a tractor-mounted tilther
title_full_unstemmed Mathematical model to calculate the critical value of the angle of gradient for a tractor-mounted tilther
title_short Mathematical model to calculate the critical value of the angle of gradient for a tractor-mounted tilther
title_sort mathematical model to calculate the critical value of the angle of gradient for a tractor mounted tilther
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2020/70/e3sconf_itse2020_08004.pdf
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AT korobeynikivan mathematicalmodeltocalculatethecriticalvalueoftheangleofgradientforatractormountedtilther
AT kalagovarita mathematicalmodeltocalculatethecriticalvalueoftheangleofgradientforatractormountedtilther
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