Issue №: 4(91)
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.
THE GENERALIZED PROBLEM OF A MECHANICAL IMPACT IN THE HERZ THEORY
Olshanskiy Vasiliy Pavlovich – Doctor of Physical and Mathematical Sciences, Professor, Kharkiv Petro Vasylenko National Technical University of Agriculture, Kharkov.
(e-mail: OlshanskiyVP@gmail.com).
Olshanskiy Stanislav Vasilevich – PhD in Physics and Mathematics, Kharkiv Petro Vasylenko National Technical University of Agriculture, Kharkov; (e-mail: stasolsh77@gmail.com).
The generalization of the well-known classical Hertz problem of the impact of two solids, taking into account contact deformations, was achieved by introducing into consideration the internal hysteresis energy losses, accompanying the dynamic deformation of bodies upon impact. In contrast to the classical version of the theory, in the generalized problem they do not coincide, but the graphs of the dependence of the impact force on the convergence of the centers of mass of the bodies at the stages of their compression and stretching differ. Therefore, the differential equations of motion at these stages have different values of the coefficients. They also correspond to different durations in time of the mentioned stages, and the duration of compression is longer than the duration of decompression. The first integrals of the nonlinear differential equations of motion are expressed in elementary functions and the second integrals are expressed through periodic Ateb-functions. Compact formulas have been derived for calculating the maxima: the convergence of the centers of mass of the bodies, the impact force, the dimensions of the contact area, the pressure at the center of this area. A compact expression was also obtained for the coefficient of speed recovery for a direct central impact, moreover, its value is less than unity and does not depend on the speed of the collision and the masses of the bodies subjected to the impact. This is consistent with the well-known Newton hypothesis, which is traditionally used in the theory of partially elastic stereomechanical shock.
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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.
