A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular Type
The new machine-and-tractor aggregate of a modular type, developed by us, consisting of the power and the technological modules, can significantly increase the efficiency of using the tractor when it is aggregated with a five-body plough. The new design solution for connecting these modules in a hor...
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doaj-aa9961982a2e400086a05ecf1c3e96d32021-04-02T11:18:22ZengMDPI AGAgriculture2077-04722020-10-011045445410.3390/agriculture10100454A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular TypeVolodymyr Bulgakov0Aivars Aboltins1Semjons Ivanovs2Ivan Holovach3Volodymyr Nadykto4Hristo Beloev5Department of Mechanics, Faculty of Construction and Design, National University of Life and Environmental Sciences of Ukraine, 03041 Kyiv, UkraineInstitute of Agricultural Machinery, Faculty of Engineering, Latvia University of Life Sciences and Technologies, Cakstes blvd. 5, LV-3001, LV-3001 Jelgava, LatviaInstitute of Agricultural Machinery, Faculty of Engineering, Latvia University of Life Sciences and Technologies, Cakstes blvd. 5, LV-3001, LV-3001 Jelgava, LatviaDepartment of Mechanics, Faculty of Construction and Design, National University of Life and Environmental Sciences of Ukraine, 03041 Kyiv, UkraineDepartment of Machine-Using in Agriculture, Dmytro Motornyi Tavria State Agrotechnological University, 18, Khmelnytskiy Ave., 72312 Melitopol, UkraineDepartment of Agricultural Machinery, University of Ruse “Angel Kanchev”, Studentska 8, 7017 Ruse, BulgariaThe new machine-and-tractor aggregate of a modular type, developed by us, consisting of the power and the technological modules, can significantly increase the efficiency of using the tractor when it is aggregated with a five-body plough. The new design solution for connecting these modules in a horizontal plane through a damper, consisting of a hydraulic cylinder and a throttle, allows significant increasing of the movement stability of this aggregate in a transverse-horizontal plane. To test the efficient operation of the proposed design, as well as to determine the kinematic and design parameters that provide the required level of stable movement of this modular machine-and-tractor aggregate, we carried out theoretical and experimental field investigations. For this, a new mathematical model of plane-parallel movement of the machine-and-tractor aggregate of this type was built. It was found that a change in the operating speed of this aggregate during ploughing from 1.0 to 3.0 m∙s<sup>−1</sup> does not lead to a deterioration in the stability of the movement of either the technological or, especially, the power modules. The delay in the reaction of the power module of the machine-and-tractor aggregate of the modular type is practically invariant with respect to the change in the mode of movement of this aggregate within the range 1–3 m∙s<sup>−1</sup>. It was also found that the values of the tire slip resistance coefficients of the wheels of the power module do not have a noticeable impact upon the development of fluctuations of the disturbing moment.https://www.mdpi.com/2077-0472/10/10/454modulestability of movementploughingphase–frequency characteristic |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Volodymyr Bulgakov Aivars Aboltins Semjons Ivanovs Ivan Holovach Volodymyr Nadykto Hristo Beloev |
spellingShingle |
Volodymyr Bulgakov Aivars Aboltins Semjons Ivanovs Ivan Holovach Volodymyr Nadykto Hristo Beloev A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular Type Agriculture module stability of movement ploughing phase–frequency characteristic |
author_facet |
Volodymyr Bulgakov Aivars Aboltins Semjons Ivanovs Ivan Holovach Volodymyr Nadykto Hristo Beloev |
author_sort |
Volodymyr Bulgakov |
title |
A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular Type |
title_short |
A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular Type |
title_full |
A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular Type |
title_fullStr |
A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular Type |
title_full_unstemmed |
A Mathematical Model of Plane-Parallel Movement of the Tractor Aggregate Modular Type |
title_sort |
mathematical model of plane-parallel movement of the tractor aggregate modular type |
publisher |
MDPI AG |
series |
Agriculture |
issn |
2077-0472 |
publishDate |
2020-10-01 |
description |
The new machine-and-tractor aggregate of a modular type, developed by us, consisting of the power and the technological modules, can significantly increase the efficiency of using the tractor when it is aggregated with a five-body plough. The new design solution for connecting these modules in a horizontal plane through a damper, consisting of a hydraulic cylinder and a throttle, allows significant increasing of the movement stability of this aggregate in a transverse-horizontal plane. To test the efficient operation of the proposed design, as well as to determine the kinematic and design parameters that provide the required level of stable movement of this modular machine-and-tractor aggregate, we carried out theoretical and experimental field investigations. For this, a new mathematical model of plane-parallel movement of the machine-and-tractor aggregate of this type was built. It was found that a change in the operating speed of this aggregate during ploughing from 1.0 to 3.0 m∙s<sup>−1</sup> does not lead to a deterioration in the stability of the movement of either the technological or, especially, the power modules. The delay in the reaction of the power module of the machine-and-tractor aggregate of the modular type is practically invariant with respect to the change in the mode of movement of this aggregate within the range 1–3 m∙s<sup>−1</sup>. It was also found that the values of the tire slip resistance coefficients of the wheels of the power module do not have a noticeable impact upon the development of fluctuations of the disturbing moment. |
topic |
module stability of movement ploughing phase–frequency characteristic |
url |
https://www.mdpi.com/2077-0472/10/10/454 |
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