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Vibrations in engineering and technology

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 2(89)

Published: 2018.06.26
DOI: XXXXX.XXXXXXXX


Description:
Журнал присвячено висвітленню проблем з вібраційних технологій і машин, математичних методів досліджень вібраційних процесів, подано інформацію про проєктно-конструкторські технологічні розробки, представлено навчально-методичні аспекти викладання у Вищій школі прикладних дисциплін, де вивчаються вібраційні машини і технології.

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MATHEMATICAL MODEL OF THE INVESTIGATION OF DYNAMICS OF A VIBRATORY SEPARATOR WITH SEQUENTIAL SIEVES PLACEMENT

DOI: XX.XXXXX/XXXXXXXXXXXXX
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Stotsko Zinoviy – Sc. Doctor, Professor, Head of Department «Designing and Operation of Machines» of Lviv Polytechnic National University (12 Bandera Str., Lviv, Ukraine, 79013, e-mail: stotsko@lp.edu.ua).

Topilnytskyy Volodymyr – PhD, Associate Professor of the Department of Designing and Operation of Machines of the Lviv Polytechnic National University (S. Bandery Str., 12, Lviv, Ukraine, 79013, e-mail: topilnvol@gmail.com).

Kusyi Yaroslav – PhD, Associate Professor of the Department of Mechanical Engineering Technologies of the Lviv Polytechnic National University (S. Bandery Str., 12, Lviv, Ukraine, 79013, e-mail: jarkym@ukr.net).

Rebot Dariya – PhD, Assistant of the Department of Designing and Operation of Machines of the Lviv Polytechnic National University (S. Bandery Str., 12, Lviv, Ukraine, 79013, e-mail: dasha_kotlyarova@ukr.net).

 

Annotation

The mathematical model of a vibratory separator with sequential sieve placement, a double independent, unbalanced drive and a spring suspension is constructed. The model is nonlinear, unified and parametric. It is obtained on the basis of the use of the second-order Lagrange equation and the asymptotic methods of nonlinear mechanics. It is obtained on the basis of the use of the Lagrange’s equation second order and the asymptotic methods of nonlinear mechanics. The model is intended to study the dynamics of the separator in the process of its designing and further operation, in particular for selection  its optimal design parameters and determining the conditions of the established and transitional operating modes. It is presented in the form of a set of analytic dependences of the laws of motion of the working body arbitrary points of a vibratory separator with sequential placement of sieves from the geometric, mass-inertial and kinematic parameters of the separator with the possibility of a wide range of their variations. The model can be part of the systems of automated design and calculation of a number of vibratory separators, which differ in number of sieves, location and complexity of the drive, suspension, working body, etc.

Keywords: separator, debalance, nonlinear model, vibration drive, sequential sieves, spring suspension

List of references

1. Honcharevych. Y.F., Zemskov. V.D., Koreshkov. V.Y. (1960). Vybratsyonnye hrokhoty i konveiery [Vibratory screeners and conveyors]. Moskva: Hoshortekhyzdat [in Russian].  

2. Johnson. E. (2004). Low profile vibratory screen separators. Increasing capacity for tough materials. Powder and bulk engineering, 12,17-23.

3. Singh. R. (2004). Vibratory separators still make the grade for screening dry bulk powders. Oxford, Eng. Elsevier Advanced Technology: Filtration and separation,  1, 20-24.

4. Hosking. J., Shrgold. F. (1962). The effect of some operating conditions on the efficiency of separation of a vibratory screen. London: Quarry Managers Journal.

5. Stotsko. Z., Sokil. B., Topilnytskyj. V., Rebot. D. (2013). The influence of the loose medium parameters on the process of vibratory separation. Journal of Manufacturing and Industrial Engineering, 1-2, 17-19.

6. Stotsko. Z.A., Topilnytskyy. V.G., Kysyj. J.M., Rebot. D.P. (2014).  Investigation of the dynamics of vibratory separator with unbalanced drive. Visnyk Natsionalnoho universytetu «Lvivska politekhnika» «Optymizatsiia vyrobnychykh protsesiv i tekhnichnyi kontrol u mashynobuduvanni ta pryladobuduvanni» – Bulletin of the «Lviv Polytechnic» National University «Optimization of production processes and technical control in mechanical engineering and instrumentation», 786, 53-61. 

7. Topilnytskyy. V., Rebot. D., Sokil. M., Velyka. O., Liaskovska S., Verkhola. I., et al. (2017).  Modeling the dynamics of vibratory separator of the drum type with concentric arrangement of sieves. Eastern-European Journal of Enterprise Technologies. Applied Mechanics, 86, 26-35.

8. Boholiubov. N.H., Mytropolskyi Yu.A. (1974). Asymptotycheskye metody v teoryy nelyneinykh kolebanyi [Asymptotic methods in the theory of nonlinear oscillations]. Moskva: Fyzmatyz [in Russian].

 

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About the journal

Topics of 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:

 

 

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Key information:
ISSN (print): 2306-8744
DOI: 10.37128/2306-8744

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

History of journal:

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.