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Engineering, Energy, Transport AIC

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 3(114)

Published: 2021.09.28
DOI: 10.37128/2520-6168-2021-3


Description:
The journal solves the problems of creation and improvement of machinery and technologies for agriculture: 131 - Applied Mechanics, 132 - Materials Science, 133 - Industrial Engineering, 141 - Power Engineering, Electrical Engineering and Electromechanics, 208 - Agricultural Engineering.

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INVESTIGATION OF MATHEMATICAL MODEL OF A VIBRATING MIXER WITH A FREEZERY PENDULUM MECHANISM

DOI: 10.37128/2520-6168-2021-3-14
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Oleh Tsurkan – doctor of technical sciences, associate professor of the department of technological processes and equipment of processing and food production of Vinnytsia National Agrarian University (Vinnytsia, st. Sonyachna, 3, 21008, e-mail tsurkan_ov76@ukr.net. https://orcid.org/0000-0002-7218-0026)
Yurii Polievoda – candidate of technical sciences, associate professor of the department of technological processes and equipment for processing and food production, Vinnytsia National Agrarian University: Vinnytsia, st. Sonyachna, 3, 21008, e-mail: vinyura36@gmail.com. https://orcid.org/0000-0002-2485-0611 )
Dmytro Prysyazhniuk – candidate of technical sciences, lecturer of the separate structural subdivision «Ladyzhyn Professional College of Vinnytsia NAU» (Ladyzhyn, іе. Petra Kravchika, 5, 24321, e-mail: dima061992@yahoo.com)

Annotation

An extensive review of vibrating mixers, identified their advantages and disadvantages. The application of the action of low-frequency oscillations on the process of mixing bulk inhomogeneous products is substantiated. All considered schemes of vibrating mixers, as well as designs in which mixing devices are driven by vibration-pulse transducers (in which the energy of the main or master system is used to create the technological motion of the driven system) can be attributed to energy-saving technological equipment.
The article describes the design, the principle of operation of the developed vibrating mixer with a double pendulum freewheel mechanism for driving the agitator blades in rotational motion. The calculation scheme and laws of motion of this system in the form of Lagrange equations of the second kind (mathematical model) are presented.
Using the obtained 2nd order multiple regression equations, recommendations were determined regarding the main parameters of the operating mode of the studied vibration mixing process.
Analyzing the results of vibration mixing of bulk inhomogeneous raw materials, we can say that the most influential factors in determining the natural oscillation frequency of the system pendulum, which is one of the main objectives of our study is spring stiffness, spring attachment distance from axis of rotation, rotation angles, pendulum weight, length and the moment of inertia.
The paper proves that among various forms of mechanical action on dispersed systems in technological processes vibration action occupies an important place as one of the most effective means to create the necessary dynamic state of dispersed systems.

Keywords: bulk product, technological environment, oscillations, mixing process, vibration mixing, energy consumption, pendulum freewheel mechanism, calculation model, mathematical model, Lagrange equation of the second kind.

List of references

[1]    Tsurkan, O. V. (2004). Rozrobka ta doslidzhennya enerhooshchadnoho vibratsiynoho zmishuvacha dlya vnesennya premiksiv v kombikormy. [Development and research of energy-saving vibrating mixer for making premixes in compound feeds] : dys. kandydata tekhn. nauk : 05.05.11 / Tsurkan Oleh Vasylʹovych. Vinnytsya, 145 s. [in Ukrainian].
[2]    Tsurkan, O. V., Velychko, L. D., Prysyazhnyuk, D. V. (2017). Matematychna modelʹ vibratsiynoyi susharky z mayatnykovymy mekhanizmamy vilʹnoho khodu. [Mathematical model of vibrating dryer with pendulum freewheel mechanisms]. Vibratsiyi v tekhnitsi ta tekhnolohiyakh. № 2 (85). S. 103–113. [in Ukrainian].
[3]    Bernyk, P. S., Tsurkan, O. V., Velychko, L. D. (2003). Matematychna modelʹ vibratsiynoho zmishuvacha iz nekolyvnym lopatevym valom ta podviynym mayatnykovym vibroimpulʹsnym pryvodom. [Mathematical model of a vibrating mixer with a non-vibrating vane shaft and a double pendulum vibrating pulse drive]. Vybratsyy v tekhnyke y ekhnolohyyakh. №6(32). S.18–22. [in Ukrainian].
[4]    Baranetsʹka, O.R. (2000). Vibratsiyne zmishuvannya sumishey sypuchykh materialiv. [Vibratory mixing of mixtures of bulk materials]. Mashynoznavstvo. № 3 (33). S. 60–63. [in Ukrainian].
[5]    Palamarchuk, I. P., Bernyk, M. P., Tsurkan, O. V. (2000). Obgruntuvannya tekhnolohichnykh ta konstruktyvnykh skhem enerhozberihayuchykh vibrozmishuvachiv barabannoho typu. [Substantiation of technological and constructive schemes of energy-saving drum-type vibrating mixers]. Vybratsyy v tekhnyke y tekhnolohyyakh. № 1(17). S. 34–37. [in Ukrainian].
[6]    Palamarchuk, I. P., Bernyk, M. P., Tsurkan, O. V. (2000). Rozvytok konstruktyvnykh skhem vibrozmishuvachiv z mekhanizmom vilʹnoho khodu. [Development of constructive schemes of vibrating mixers with freewheel mechanism]. Zb. nauk. pratsʹ KHDTUSH, «Suchasni napryamky tekhnolohiyi ta mekhanizatsiyi protsesiv pererobnykh ta kharchovykh vyrobnytstv» Kharkiv: KHDTUSH, S. 167–173. [in Ukrainian].
[7]    Vybratsyonnyy smesytelʹ: A.s. 1674944 A1 SSSR, MKY V 01 F 11/00 P. S. Bernyk, L. V. Yaroshenko, E. V. Solonaya. № 4744802/26; Zayavl. 03.10.89; Opubl. 07.09.91, Byul. № 33. [in Russian].
[8]    Sereda, L. P., Bernyk, P. S., Tsurkan, O. V., Velychko, L. D. (2003). Matematychna modelʹ vibratsiynoho zmishuvacha z nekolyvnym lopatevym valom ta podviynym mayatnykovym vibroimpulʹsnym pryvodom. [Mathematical model of a vibrating mixer with a non-vibrating vane shaft and a double pendulum vibrating pulse drive]. Vybratsyy v tekhnyke y tekhnolohyyakh. № 6(32). S. 18–22. [in Ukrainian].
[9]    Palamarchuk, I. P., Yanovych, V. P., Polіevoda, Y. A. (2012). Obgruntuvannya rezhymnykh parametriv protsesu dezintehruvannya skladnykh farmatsevtychnykh sumishey ta fitopreparativ. [Substantiation of regime parameters of the process of disintegration of complex pharmaceutical mixtures and phytopreparations]. Naukovi pratsi Natsionalʹnoho universytetu kharchovykh tekhnolohiy. № 47. S. 79–83. [in Ukrainian].
[10]    Polіevoda, Y. A. (2015). Perspektyvy zastosuvannya vibratsiynykh efektiv v ridkykh tekhnolohichnykh systemakh kharchovykh i pererobnykh vyrobnytstv. [Prospects for the application of vibration effects in liquid technological systems of food and processing industries]. Zbirnyk naukovykh pratsʹ Vinnytsʹkoho natsionalʹnoho ahrarnoho universytetu, seriya tekhnichni nauky. №1(89) Tom 1. S. 124–130. [in Ukrainian].
[11]    Omelʹyanov, O. M., Polіevoda, Y. A., Zamriі, M. (2021.) Perspektyvy zastosuvannya vibratsiyi pry rizanni materialiv. [Prospects for the use of vibration in cutting materials. Vibrations in engineering and technology.]. Vibratsiyi v tekhnitsi ta tekhnolohiyakh. № 1 (100). S.104–114. [in Ukrainian].

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About journal

Topics of the journal:

131 - Applied Mechanics

132 - Materials Science

133 - Industry engineering

141 - Power engineering, electrical engineering and electromechanics

208 - Agricultural engineering

The magazine "Engineering, Energy, Transport AIC" is included in the list of scientific professional editions of Ukraine on technical sciences

(Category "Б", Order of the Ministry of Education and Science of Ukraine dated 02.07.2020 №886)

Old version of site: http://tetapk.vsau.edu.ua, http://techjournal.vsau.org

Key information:
ISSN (print): 2520-6168
DOI: 10.37128/2520-6168

Certificate of state registration of mass media: No. 21906-11806 P dated 03/12/2016.

Founder of the journal: Vinnytsia National Agrarian University

Editor-in-chief: Oleksii Tokarchuk - Ph.D., Associate Professor, VNAU (Vinnytsia)

Deputy Editor-in-Chief: Natalia Veselovska - Doctor of Technical Sciences, Full Prof., VNAU (Vinnytsia)

Executive Secretary: Yuriy Polevoda- Ph.D., Associate Professor, VNAU (Vinnytsia)

Members of the Editorial Board:

Tokarchuk O.A. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Veselovska N.R. - Doctor of Technical Sciences, Full Professor, Vinnytsia National Agrarian University

Polevoda Yu.A. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Jordan Todorov Maximov - Doctor of Technical Sciences, Full Professor, Technical University of Gabrovo (Bulgaria)

Bulgakov V.M. - Doctor of Technical Sciences, Full Professor, Acad. NAAS, National University of Life and Environmental Sciences of Ukraine

Hraniak V.F. - Ph.D., Associate Professor, Vinnytsia National Technical University

Ivanchuk Y.V. - Doctor of Technical Sciences, Associate Professor, Vinnytsia National Technical University

Iskovich-Lototsky R.D. - Doctor of Technical Sciences, Full Professor, Vinnytsia National Technical University

Kupchuk I.M. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Sevostianov I.V. - Doctor of Technical Sciences, Full Professor, Vinnytsia National Agrarian University

Spirin A.V. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Tverdokhlib I.V. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

Tsurkan A.V. - Doctor of Technical Sciences, Associate Professor, Vinnytsia National Agrarian University

Yaropud V.M. - Ph.D., Associate Professor, Vinnytsia National Agrarian University

 

Type of publication: journal

Kind of publication: scientific

Publication status: domestic

Year of foundation: 1997

Periodicity: 4 times per year

Volume: 18-20 conv. print. sheet (А4)

ISSN: 2520-6168 (print version), (online version)

Language of publication: (mixed languages) Ukrainian, English

The sphere of distribution and category of readers: national, foreign, faculty, scientists, entrepreneurs.

The periodical edition is included to the List of scientific professional publications of Ukraine on technical sciences, approved by order of the Ministry of Education and Science of Ukraine in 05.16.2016, No. 515.

The journal "Engineering, Energy, Transport AIC" is included in the "Catalog of Ukrainian Publications".

Subscription to the journal can be issued in each post office. The subscription index is 99720.

History of journal:

It was founded in 1997 under the title "Bulletin of the Vinnitsa State Agricultural Institute." According to the Decree of the Presidium of the Higher Attestation Commission of Ukraine of September 11, 1997, this publication received the status of a professional in which it is allowed to publish the main results of dissertation researches.

In 2001-2014 the journal published under the title “Collection of scientific works of Vinnytsia National Agrarian University. Series: Technical Sciences "(Certificate of State Registration of Mass Media KV No. 16644-5116 PR of 04/30/2010).

Since 2015 journal has title "Engineering, Energy, Transport AIC" (Certificate of State Registration of Mass Media No. 21906-11806 P dated 03/12/2016).