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Vibrations in engineering and technology

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 2(97)

Published: 1970.01.01
DOI: 10.37128/2306-8744-2020-2


Description:
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.

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Application of the method of current functions in stationary plastic deformation processes

DOI: 10.37128/2306-8744-2020-2-17
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Rekechynsky Volodymyr Ivanovych - Postgraduate Student of Vinnytsia National Agrarian University (3, Solnyshchaya St., Vinnytsia, Ukraine, 21008, e-mail: volodimir_rekecinskiy@ukr.net).

 

 

Annotation

A method of determining the components of the strain rate tensor based on the method of current functions is developed. It is assumed that, with an axisymmetric plastic deformation of the metal in a channel with curvilinear borders, the kinematics of the process are similar to a flat flow. Using the incompressibility equation and the differential equation of the current lines, it is established that the current function maintains a constant value along the current lines. Two infinitely close current lines are considered in the flow plane to explain the kinematic content of the current function. The expression for flow through the finite transverse-sized tube was obtained. In the absence of radial velocity components at the boundaries, we obtain the restrictions imposed on derivatives of the current functions at these boundaries. The method of calculation of kinematic deformation characteristics for established axisymmetric processes will allow to simplify the mathematical processing of the obtained results.

Real processes of metal processing are always accompanied by uneven plastic molding, which affects the power and kinematic parameters, the quality of finished products. The main technological factors affecting the appearance of the inhomogeneity and the nature of its distribution are the form factor (geometric parameters of the original workpiece) and the coefficient of contact friction. The study of technological parameters affecting the distribution of non-uniformity of plastic molding will allow to create practical recommendations for reducing the influence of the above mentioned parameters to ensure more uniform plastic deformation.

Due to elastic-plastic deformation and local heating, which occur during surface-plastic deformation processing, the stress-strain and physical state of the surface layer is formed. This changes the microgeometry of the surface, the physical and mechanical properties of the surface layer of the workpiece. The surface treated by methods of surface-plastic deformation, has high hardness, residual compression stresses in the surface layer, smoothed out the micro-roughness. Accordingly, increases wear resistance, fatigue strength, resistance to corrosion and more.

 

Keywords: strain rate tensor, stress-strain state, specific compression force, annular billet, principal deformation, deformation inhomogeneity

List of references

1. Ogorodnikov V. А. Resurs plastichnosti metallov pri holodnom obemnom formoizmenenii: monografia / V. А. Ogorodnikov, I. А. Derevenko, L. I. Alieva // Vinnitsa: VNTU, 2016. - 176 s.

2. Dmitriev А. М. Uchet neodnorodnosti mehanicheskih svoistv i skorosti deformatsii v raschetah protsesov vydavlivania / А. М. Dmitriev, А. L. Vorontsov // Kuznechno-shtampovochnoe proizvodstvo, 2004, № 8. s. 3–10.

3. Kotsiubivska К. І. Resurs plastichnosti metaliv pri poperechnomu vidavliuvanni z protitiskom: monografia / К. І. Kotsiubivska, Iu. А. Burenikov, І. О. Sivak. – Vinnitsia : VNTU, 2011. – 156 s.

4. Kolmogorov V. L. Mehanika obrabotki metallov davleniem / V. L. Kolmogorov. – Ekaterinburg: UPI, 2001. – 836 s.

5. Basin М. Е. Otsenka primenimosti teorii uprugo-plasticheskogo techenia pri modelirovanii protsesa volochenia metalla / М. Е. Basin, М. G. Boiarshinov, G. L. Kolmogorov // Vycheslitelnaia mehanika. — 2005. — № 3. — s. 70-75.

6. Aljushin Ju.A. Svjaz' linij toka i skorosti deformacii v processah razvitogo plasticheskogo formoizmenenija. Izv. vuzov. Chernaja metallurgija. 1970. №8. S.71-74.

7. Kucherjaev B.V. K opredeleniju dejstvitel'nyh funkcij toka i funkcij naprjazhenij pri reshenii zadach teorii vjazkoplasticheskih techenij. Plasticheskaja deformacija legkih i special'nyh splavov. M.: Metallurgija, 1982. Vyp 2. S.27-37.

8. Kuzmenko V.Y., Balakyn V.F. Reshenie na JeVM zadach plasticheskogo deformirovanija. Kiev : Tehnika, 1990. 136 s.

9. Shebeik A. Reshenie na CVM metodom vizioplastichnosti zadachi osesimmetrichnogo pressovanija cherez matricu s krivolinejnoj obrazujushhej. Trudy amerikanskogo obshhestva inzhinerov - mehanikov. Konstruirovanie i tehnologija mashinostroenija, 1972. №2. S. 273-279.

10. Loitsianskyi L.H. Mehanika zhidkosti i gaza. M.: Nauka, 1987. 840s.

11. Ogorodnikov V. А. On the Influence of Curvature of the Trajectories of Deformation of a Volume of the Material by Pressing on Its Plasticity Under the Conditions of Complex Loading. Materials Science.Vol. 54, 2018. P. 326-332.

12. Maslov A. The determination of the parameters of a vibration machinef the internal compaction of concrete mixtures. International Journal of Engineering & Technology. Vol. 7, 2018. Р. 12-19.

13. Puzyr R. Experimental Study of the Process of Radial Rotation Profiling of Wheel Rims Resulting in Formation and Technological Flattening of the Corrugations. Manufacturing Technology, 2018. Vol. 18 (1), Р. 106-111.

 

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About journal

Topics of the journal:

The journal "Vibrations   in engineering  and technology" presents materials on the following issues

• Theory of processes and machines
• Mechanical Engineering and materialprocessing
• Processing and food production

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

The certificateof massmediaState registration:kv no 16643-5115 from 30.04.2010 .
Founder of the journal: Vinnytsia National Agrarian University

Kind of publication: journal
Type of publication : Scientific
Publication status: Domestic
Year of founding:
Periodicity: 4 times a year
Extent: 18.75 nominal printed pages
ISSN: 2306-8744 (printed version), (online)
Language of edition  : (mixed languages) Ukrainian, English
The scope of the distribution and the category of readers: national, foreign, teaching staff, scientists, businessmen.
Periodical is included in the list of scientific professional editions of Ukraine approved by the Order of Ministry of Education and Sciences of Ukraine from 21.12.2015 No. 1328.
The journal "Vibrations in engineering and technology" is included in the "Catalogue of periodicals of Ukraine".
Journal subscription can be executed in each post office department.
 Subscription Index is  99720.

 

Old version of site: http://vibrojournal.vsau.edu.ua/

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  94 issues wherestudy of vibration effects, the creation of progressive energy saving technologies and equipment for their implementation were highlighted.
Currently Kaletnik H.M  PhD , professor, academician NAAS 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.