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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Main Authors: Volodymyr Bulgakov, Aivars Aboltins, Semjons Ivanovs, Ivan Holovach, Volodymyr Nadykto, Hristo Beloev
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Agriculture
Subjects:
Online Access:https://www.mdpi.com/2077-0472/10/10/454
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spelling 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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