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Engineering, Energy, Transport AIC

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 4(115)

Published: 2021.12.24
DOI: 10.37128/2520-6168-2021-4


Description:
The journal solves the problems of creation and improvement of machinery and technologies for agriculture: 131 - Applied Mechanics, 132 - Materials Science, 133 - Industrial Engineering, 141 - Power Engineering, Electrical Engineering and Electromechanics, 208 - Agricultural Engineering.

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MATHEMATICAL JUSTIFICATION OF STABILITY OF STEERING BRIDGE OF WHEELED TRACTOR

DOI: 10.37128/2520-6168-2021-4-1
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Irina Gunko – Candidate of Technical Sciences, Associate Professor of the Department of Agricultural Engineering and Technical Service, Vinnytsia National Agrarian University (Solnechnaya St., 3, Vinnytsia, 21008, Ukraine, e-mail: maniy@ukr.net, https://orcid.org/0000-0001-5470-7413).

Annotation

 

The article deals with the influence of wheel oscillation and the micro-profile of the road surface on the stability of the wheel tractor axle movement. The reasons for the oscillations of the steered wheels, the design diagram of the controlled axle of the tractor and the sequence for determining the oscillation frequency of the axle of the tractor are presented. The reasons for the oscillation of the steered wheels are collisions with bumps, imbalance of the wheels and a double connection with the tractor frame through the steering system and the fastening of the steering axle beam.

The most common functions for describing road irregularities that affect the movement of a tractor are the mathematical expectation and the average value of the ordinates of the micro-profile, the variance or standard deviation of the ordinates, the correlation function characterizing the relationship of various implementations of the micro-profile functions along the length of the road section and spectral density.

Oscillations of the steered wheels have a side effect on the stability of the tractor, which leads to oscillations of the steered axle due to the presence of an additional degree of freedom (turning around the pivot) in comparison with uncontrolled ones. In addition, the steered wheels are interconnected by a steering linkage, which is damped due to clearances.

Oscillations of the wheels can also occur due to the fact that the radial (normal) stiffness of the tires around the circumference is not the same. When such a tire rolls, the wheel begins to oscillate in a vertical plane. Such oscillations, performed due to changes in the parameters of the oscillatory system, are called parametric. Self-oscillations of the steered wheels cause significant dynamic loads on the steering parts, intense tire wear and lead to a loss of tractor controllability and driving stability. One of the main reasons for the occurrence of oscillations of the steered wheels is the presence of a gyroscopic relationship between the angular oscillations of the beam of the steered bridge in the transverse plane and the rotation of the wheels of this bridge relative to the pins.

The article also discusses the physical essence of the processes occurring during self-oscillations of the tractor's controlled wheels.

Keywords: driving stability, steering axle, wheeled tractor, road surface, vibrations, gyroscopic moment, travel speed

List of references

 

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[3]               Popov, V.B. (2005). Matematicheskoe modelirovanie mobilnogo selskohozyaystvennogo agregata v rezhime transportnogo pereezda. Vestnik Gomelskogo gosudarstvennogo tehnicheskogo universiteta im. P.A. Suhogo. 3 (22). 13–18. [in Russian].

[4]              Scarlett, A.J., Price, J.S., Stayner, R.M. (2007). Whole-body vibration: Evaluation of emission and exposure levels arising from agricultural tractors. Journal of Terramechanics. 44(1). 65–73. [in English].

[5]              Patil, M.K., Palanichamy, M.S. (1988). A mathematical model of tractor-occupant system with a new seat suspension for minimization of vibration response. Applied Mathematical Modelling. 12(1). 63–71. [in English].

[6]              Servadio, P., Marsili, A., Belfiore, N.P. (2007). Analysis of driving seat vibrations in high forward speed tractors. Biosystems Engineering. 97(2). 171180. [in English].

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[9]              Muzychuk, V.I., Anisimov, V.F. (2012) Orhanizatsiya robit pidpryyemstv tekhnichnoho obsluhovuvannya: navchalʹnyy posibnyk. Vinnytsya: FOP Rohalʹsʹka I.O.[In Ukrainian].

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[12]         Borysiuk, D.V., Yatskovskyi, V.I. (2016). Stiikist rukhu kerovanykh kolis traktoriv. Vibratsii v tekhnitsi ta tekhnolohiiakh. 1(81). 1922. [in Ukrainian].

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About journal

Topics of the journal:

131 - Applied Mechanics

132 - Materials Science

133 - Industry engineering

141 - Power engineering, electrical engineering and electromechanics

208 - Agricultural engineering

The magazine "Engineering, Energy, Transport AIC" is included in the list of scientific professional editions of Ukraine on technical sciences

(Category "Б", Order of the Ministry of Education and Science of Ukraine dated 02.07.2020 №886)

Old version of site: http://tetapk.vsau.edu.ua, http://techjournal.vsau.org

The journal "Engineering, Energy, Transport AIC" is indexed according to the following databases and catalogs:

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Key information:
ISSN (print): 2520-6168
DOI: 10.37128/2520-6168

Certificate of state registration of mass media: No. 21906-11806 P dated 03/12/2016.

Founder of the journal: Vinnytsia National Agrarian University

Editor-in-chief: Oleksii Tokarchuk - Ph.D., Associate Professor, VNAU (Vinnytsia)

Deputy Editor-in-Chief: Natalia Veselovska - Doctor of Technical Sciences, Full Prof., VNAU (Vinnytsia)

Executive Secretary: Yuriy Polevoda- Ph.D., Associate Professor, VNAU (Vinnytsia)

Members of the Editorial Board:

Tokarchuk O.A. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Veselovska N.R. - Doctor of Technical Sciences, Full Professor, Vinnytsia National Agrarian University

Polevoda Yu.A. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Jordan Todorov Maximov - Doctor of Technical Sciences, Full Professor, Technical University of Gabrovo (Bulgaria)

Bulgakov V.M. - Doctor of Technical Sciences, Full Professor, Acad. NAAS, National University of Life and Environmental Sciences of Ukraine

Hraniak V.F. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Ivanchuk Y.V. - Doctor of Technical Sciences, Associate Professor, Vinnytsia National Technical University

Iskovich-Lototsky R.D. - Doctor of Technical Sciences, Full Professor, Vinnytsia National Technical University

Kupchuk I.M. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Sevostianov I.V. - Doctor of Technical Sciences, Full Professor, Vinnytsia National Agrarian University

Spirin A.V. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Tverdokhlib I.V. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Tsurkan A.V. - Doctor of Technical Sciences, Associate Professor, Vinnytsia National Agrarian University

Yaropud V.M. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

 

Type of publication: journal

Kind of publication: scientific

Publication status: domestic

Year of foundation: 1997

Periodicity: 4 times per year

Volume: 18-20 conv. print. sheet (А4)

ISSN: 2520-6168 (print version), (online version)

Language of publication: (mixed languages) Ukrainian, English

The sphere of distribution and category of readers: national, foreign, faculty, scientists, entrepreneurs.

The periodical edition is included to the List of scientific professional publications of Ukraine on technical sciences, approved by order of the Ministry of Education and Science of Ukraine in 05.16.2016, No. 515.

The journal "Engineering, Energy, Transport AIC" is included in the "Catalog of Ukrainian Publications".

Subscription to the journal can be issued in each post office. The subscription index is 99720.

History of journal:

It was founded in 1997 under the title "Bulletin of the Vinnitsa State Agricultural Institute." According to the Decree of the Presidium of the Higher Attestation Commission of Ukraine of September 11, 1997, this publication received the status of a professional in which it is allowed to publish the main results of dissertation researches.

In 2001-2014 the journal published under the title “Collection of scientific works of Vinnytsia National Agrarian University. Series: Technical Sciences "(Certificate of State Registration of Mass Media KV No. 16644-5116 PR of 04/30/2010).

Since 2015 journal has title "Engineering, Energy, Transport AIC" (Certificate of State Registration of Mass Media No. 21906-11806 P dated 03/12/2016).