STUDY OF THE DYNAMICS OF A VIBRATION MACHINE CONSIDERING THE INFLUENCE OF THE PROCESSING MEDIUM

Олег Дедов; Володимир Слюсар; Андрій Бондаренко; Петро Ладкін; Олексій Погребач

doi:10.32347/tb.2024.40.0302

Автор(и)

Олег Дедов Київський національний університет будівництва і архітектури, Україна https://orcid.org/0000-0001-5006-772X
Володимир Слюсар Київський Національний Університет Будівництва і Архітектури, Україна https://orcid.org/0000-0003-4332-3144
Андрій Бондаренко Одеська національна академія будівництва і архітектури, Україна https://orcid.org/0000-0002-4594-6399
Петро Ладкін Київський національний університет будівництва і архітектури, Україна
Олексій Погребач

DOI:

https://doi.org/10.32347/tb.2024.40.0302

Ключові слова:

метод комплексних чисел, вібраційна машина, дискретна система, бетонна суміш, безперервна система, спільний рух, сили опору, параметри коливань, амплітуда, частота

Анотація

This paper presents the results of studying the dynamics of a vibration machine, taking
into account its interaction with the processing medium based on representing the medium as a continuous
system. The application of the complex number method significantly simplifies the formation of equations of
motion for the discrete-continuous system, which is a computational model of the vibration system "machinemedium."
The study substantiates and develops a method for considering the mutual influence of the machine
and the processing medium, based on representing the medium as a continuous system. The dynamics
of the vibration system "machine-medium" is studied, and oscillation parameters are determined without
considering resistance forces. It is found that the overall motion of the vibration system is described by four
components. The first three describe the natural oscillations of the system, of which the first two are determined
only by initial conditions, and the third reflects the accompanying oscillations caused by the external
force applied to the system. The last component defines the forced oscillations following the external force's
change law. This result shows that the oscillations of the vibration system are not strictly harmonic, which is
confirmed by the provided graphs. The dynamics of the "machine-medium" vibration system, considering
resistance forces, are studied, and analytical dependencies for determining oscillation amplitudes and natural
and resonant frequencies are obtained. The results of the amplitude calculations of the vibration platform for
various heights of compacted concrete mixtures reveal the influence of the resistance coefficient and the
ratio of oscillation frequency to the wave propagation speed in the mixture. Analysis of the obtained graphs
shows that the resistance coefficient has a different effect on the amplitude of oscillations for different heights
of the compacting mixture. Certain mixture height zones of the vibration system "machine-medium" operate
in a near-resonant mode. A significant influence on the amplitude is exerted by the wave propagation speed,
which is included in the analytical formulas for determining the numerical values of the coefficients accounting
for reactive and active components of resistance.

Посилання

Nesterenko, M. (2015). "Progressive development of vibrating installations with spatial oscillations for forming reinforced concrete products." Collection of Scientific Papers. Series: Sectoral Engi-neering, Construction. Issue 2 (44), 16–23.
Maslov, O., Salenko Yu., Maslova N. "Investigation of the interaction of a vibrating plate with a cement-concrete mixture." Bulletin of KNU named after Mykhailo Ostrohradskyi. Issue 2/2011 (67), Part 1, pp. 93–98.
Nazarenko I.I., Oryshchenko S.V. "Modeling the process of material movement on a screen." Construction Equipment. – 2009. – No. 22. – pp. 81–84.
Oryshchenko S.V. "Theoretical studies and determination of the main stages of the movement of a vibrating screen." Construction Equipment. – 2010. – No. 24. – pp. 44–47.
Ruchinsky M.M., Svyrydiuk D.Ya. "Investigation of vibrations of a vibrating concrete mixer tak-ing into account the influence of the moving material." Construction Equipment. Scientific and Technical Journal. Kyiv: KNUCA, 2013. No. 31. pp. 35–42.
Nazarenko, I. (2021). "Dynamic processes in technological technical systems." Kharkiv, Pc Tech-nology Center, 179. https://doi.org/10.15587/978-617-7319-49-7.
Nazarenko I.I. "Applied problems of vibration system theory." Textbook (2nd edition). Kyiv: Pub-lishing House "Slovo," 2010. – 440 pages.
I.I. Nazarenko, E.O. Mishchuk. "Investigation of the dynamics of a double-action vibrating jaw crusher." Mining, Construction, Road and Reclamation Machines. – 2019. – No. 94. – pp. 5–15.
Nazarenko I., Dedov O., Bernyk I., Bondarenko A., Onyshchenko A., Lisnevskyi R., Slyusar V. (2023). "Determining the influence of higher harmonics of nonlinear technological load in dynamic action systems." Eastern-European Journal of Enterprise Technologies. 4 7 (124)), pp. 79–88.
Nesterenko M.M., Nesterenko T.M., Magas N.M. "Methodology for calculating impact-vibration installations for the production of lightweight concrete products for energy-efficient building recon-struction in Ukraine." Scientific Bulletin of Construction. – Vol. 88. – No. 2. – 2017. – pp. 178–182.