Issue №: 2(121)
The journal deals with the problems of vibration technologies and machines, mathematical methods of vibration process studies, information on design and technological development, presents teaching and methodological aspects of teaching in the Higher School of Applied Sciences, where vibration machines and technologies are studied.
IMPROVED MATHEMATICAL MODEL OF OSCILLATIONS OF A REAR-MOUNTED ROOT CROWN CLEANER CONSIDERING SOIL ELASTIC–DAMPING PROPERTIES
Kaletnik Hryhorii – academician of the NAAS of Ukraine, Doctor of Economics, Professor, Rector of Vinnytsia National Agrarian University (3 Soniachna St., Vinnytsia, Ukraine, 21008) https://orcid.org/0000-0002-4848-2796
Prysyazhnyi Viktor – Candidate of Technical Sciences, Senior Researcher, Institute of Mechanics and Automation of Agro-Industrial Production, National Academy of Agrarian Sciences of Ukraine (11/1 Vokzalna St., Hlevakha Village, Fastiv District, Kyiv Region, 08631; e-mail: viktor-pris@ukr.net) https://orcid.org/0000-0001-5096-3241
Mitkov Vasyl – Candidate of Technical Sciences, Associate Professor, Department of Machine Operation and Technical Service, Dmytro Motorny Tavria State Agrotechnological University (66 Universytetska St., Zaporizhzhia, Zaporizhzhia Oblast, 69011, Ukraine, e-mail: vasyl.mitkov@tsatu.edu.ua) https://orcid.org/0000-0002-3652-0687
Skliar Oleksandr – Candidate of Technical Sciences, Professor, Head of the Department of Machine Operation and Technical Service at the Dmytro Motorny Tavria State Agrotechnological University (66 Universytetska St., Zaporizhzhia, Zaporizhzhia Oblast, 69011, Ukraine). https://orcid.org/0000-0002-0456-2479
The oscillatory motion of a rear-mounted root-crop head cleaner in the longitudinal-vertical plane during travel over an uneven field surface was investigated. The problem of improving the stability of the cleaning process was considered by refining the “gauge wheel – soil” interaction for deformable soils. An improved computational scheme was developed in which the soil was represented as a viscoelastic support with equivalent stiffness and damping parameters, and the normal support reaction was formulated as a function of soil settlement and the settlement rate. A mathematical model was derived using Lagrange’s equations of the second kind for two generalized coordinates describing the angular deviation of the implement frame and the vertical displacement of the gauge-wheel assembly. The geometry of the cleaning drum location was clarified: the distance from the hitch point to the drum mounting point was taken as the sum of the distance to the gauge-wheel axis and a structural offset equal to the drum radius plus a safety clearance of 0.1 m. Numerical integration of the resulting system of differential equations was performed using the Runge-Kutta method, and time histories of vertical displacements were obtained for different operating regimes.
It was established that an increase in travel speed from 0.8 to 2.4 m·s–1 (with a fixed distance of 1.0 m from the hitch point to the gauge-wheel axis) leads to an increase in the oscillation amplitude of the gauge-wheel assembly from approximately 33 to 43 mm, indicating an approach to the amplification region of forced oscillations for the given field waviness. It was shown that increasing the distance from the hitch point to the gauge-wheel axis from 0.8 to 1.2 m at a travel speed of 1.6 m·s–1 causes a significant amplification of oscillations at the cleaning-drum mounting point: the displacement amplitude increases from approximately 32 to 59 mm, i.e., by about 1.85 times. A parametric analysis of soil properties in terms of equivalent soil stiffness and equivalent soil damping was carried out. It was revealed that an increase in soil stiffness enhances the transmission of excitation from the field profile to the implement frame, whereas an increase in soil damping reduces the oscillation amplitude due to more intensive energy dissipation. Within the range of equivalent soil stiffness of 5–80 kN·m–1 and equivalent damping of 0.4–2.0 kN·s·m–1, the displacement amplitude at the drum mounting point for a representative operating regime was estimated at approximately 35–48 mm. The obtained results can be used to substantiate rational suspension geometry, select travel-speed regimes, and adapt cleaner settings to soil state (moisture and compaction).
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About the journal
The journal "Vibrations in Engineering and Technologies" is included in the list of technical scientific publications of Ukraine
(Category "B", Order of the Ministry of Education and Science of Ukraine dated July 2, 2020 No. 886)
Old version of the site: http://vibrojournal.vsau.edu.ua/
The journal "Vibrations in Engineering and Technology" is indexed by the following databases and catalogs:
The certificateof massmedia State registration:kv no 16643-5115 from 30.04.2010 .
Founder of the journal: Vinnytsia National Agrarian University
The journal is devoted to highlighting current issues in engineering, mechanical engineering, and technological processes, including the study of dynamic and oscillatory phenomena in technical systems, the application of mathematical methods for process modeling and analysis, as well as the presentation of results of design-engineering and technological developments. Particular attention is given to the study of vibration processes and their application in modern technologies.
The purpose of the scientific journal “Vibrations in Engineering and Technologies” is to disseminate the results of fundamental and applied research in the field of engineering sciences aimed at developing theoretical foundations and practical approaches to the design, analysis, and improvement of machines, materials, and technological processes, including the use of vibration and oscillatory effects in various sectors of production.
The publication is focused on the formation of a modern scientific and informational environment for the effective exchange of research results, support of innovative development, and implementation of advanced technical solutions in industry, agro-industrial production, and related fields.
The journal promotes the development of interdisciplinary research, the integration of modern engineering approaches, and the enhancement of the efficiency of technological processes and technical systems, including through the rational use of vibration phenomena.
Objectives of the Scientific Journal
To achieve its stated purpose, the journal addresses the following key objectives:
dissemination of results of fundamental and applied scientific research in the fields of mechanics, mechanical engineering, technological processes, machine dynamics, and equipment, as well as in areas related to the application of vibration phenomena in engineering and technologies;
promotion of research aimed at the creation and improvement of machines, mechanisms, and technological equipment based on oscillatory and vibration processes;
support for the implementation of modern technological solutions focused on improving productivity, energy efficiency, and reliability of technical systems;
обеспечение scientific exchange of research results among research institutions, higher education establishments, and industrial enterprises;
development of interdisciplinary cooperation among researchers in the fields of mechanics, materials science, material processing technologies, and automation of technological processes;
dissemination of modern scientific achievements and advanced technologies related to the application of vibration processes in production and technical systems.
Publisher Vinnytsia National Agrarian University
In June 1994 the 2nd International Scientific and Technical Conference "Application of vibrations for technological purposes" was organized on the basis of Vinnytsia State Agricultural Institute. Leading experts in this field, noting the significant contribution to the school of Vibration Engineering under the leadership of P. S. Bernyk, proposed to create a professional all-Ukrainian scientific and technical journal "Vibration in engineering and technology..The journal was foundedat Vinnytsia State Agricultural Institute and P.S. Bernyk was elected to be the chief editor .
For all these years (since 1994) theJournal "vibration in engineering and technology" published 119 issues wherestudy of vibration effects, the creation of progressive energy saving technologies and equipment for their implementation were highlighted.
Currently Ihor Kupchuk, Candidate of Technical Sciences, Associate professor, Associate Professor of the Department of Engineering Mechanics and Technological Processes in the Agricultural Industry Faculty of Engineering and Technology Vinnytsia National Agrarian University is the chief editor of the "Vibrations in engineering and Technology"
The journal "Vibration in Engineering and technology", which has no analogues on the territory of Ukraine, is well known abroad.
