Issue №: 1(96)
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.
RESEARCH OF VIBRATION MACHINES DYNAMICS FOR PRODUCT SURFACES PROCESSING BY MATHEMATICAL MODELING
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).
The article describes the methodology for the study of the dynamics of vibrating machines for surface processing of products by mathematical modeling, which is presented in four main stages. The first stage: analysis of classes of vibrating machines for surface treatment of products, choice of basic for solving the technological problem, project of a unified calculation scheme of the machine. The second stage: development of a nonlinear mathematical model for describing the dynamics of the vibration machine working body and its filling, development of elements of automated calculations of the machine. The third stage: the study of the influence of the parameters of the vibrating machine, product sets and tools (with their various combinations) on the factors of the intensity of products surface processing. The fourth stage: recommendations for choosing vibrating machine parameters and machining bodies that will maximize the processing performance of products with the selected intensity criterion.
A mathematical model for describing the motion of a vibrating machine for surface treatment of articles by a set of unrelated bodies of small size is created. It has two unbalance units that generate oscillations of its working body and a spring suspension-mounting of the working chamber (container). The model is parametric and nonlinear, incorporating key dynamic, kinematic and geometric parameters of the vibrating machine in symbolic format. It is constructed by: descriptions of the plane-parallel movement of the mechanical system, the rotational motion of the material point and the body; second-order Lagrange equation; asymptotic (approximate) methods of nonlinear mechanics. With the help of the model it is possible: to describe the oscillatory movement of the working chamber (container) of the vibrating machine; to study the influence of the machine parameters on the efficiency of performance of the set technological task, the conditions of occurrence of non-stationary modes of operation of the vibrating machine and the ways of their regulation.
1. Dzhedzhula, О.М. (2019). Osobluvosti konstryjuvannja vibracijnuch zmischuvachiv [Features of vibration mixers design]. Vibratsiyi v tekhnitsi ta tekhnolohiyakh − Vibrations in engineering and technology, 4 (95), 24−30. [in Ukrainian].
2. Lawinska, K. and Modrzewski, R. (2017). Analysis of sieve holes blocking in a vibrating screen and a rotary and drum screen. Journal «Fizykochemiczne Problemy Mineralurgii – Physicochemical Problems of Mineral Processing», 53, 812–828.
3. Zhou, N. (2015). Dynamic characteristics analysis and optimization for lateral plates of the vibration screen. Journal of Vibroengineering (J. VIBROENG), 17(4), 1593–1604.
4. Subach A.P. (1991). Dynamica processov i mashyn obyemnoy obrobotky [Dynamics of processes and machines of volumetric processing]. Riga: Zinatne [in Russian].
5. Symonenko T. E. (2011). O razrabotke matematycheskoi modely dlia obrabotky nezakreplennykh detalei [The development of a mathematical model for processing loose parts]. Visnyk Donbaskoi derzhavnoi mashynobudivnoi akademii − Bulletin of Donbass State and Maschine-Building Academy, 2 (23), 201–205 [in Russian].
6. Oryshchenko S.V. and Matsiuk B.V. (2013). Doslidzhennia dynamiky vibratsiinoho hrokhota ta otsinka yoho efektyvnosti [Research of the dynamics of vibrating screen and evalution of its effectiveness]. Vibratsiyi v tekhnitsi ta tekhnolohiyakh − Vibrations in engineering and technology, 3 (71), 120−125. [in Ukrainian].
7. Ivanov, K. and Vaisberg, L. (2015). New Modelling and Calculation Methods for Vibrating Screens and Separators. Journal «Lecture Notes in Control and Information Sciences», 22, 55–61.
8. 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, 2, 7 (86), 26–35.
9. Mitropolskii Yu. A. (1997). Nelineynaya mekhanika. Odnochastotnye koljebaniya [Nonlinear mechanics. Single frequency oscillations]. Кyiv: Ins.matematiki NAN Ukrainy [in Russian].
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.
