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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
EDP Sciences
2020-01-01
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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. |
first_indexed | 2024-12-14T18:02:46Z |
format | Article |
id | doaj.art-d6cec62a2a274aedb49946a08e1dc8f9 |
institution | Directory Open Access Journal |
issn | 2267-1242 |
language | English |
last_indexed | 2024-12-14T18:02:46Z |
publishDate | 2020-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | E3S Web of Conferences |
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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