Yelisieiev V.I., Lutsenko V.I., Shevchenko S.А., Shevchenko A.Р., Tolstopyat O.Р., Flieier L.О. Response of oscillatory system “liquid layer- rod” to driving disturbances

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Parent Category: Geo-Technical Mechanics, 2019
Category: Geo-Technical Mechanics, 2019, № 145

Geoteh. meh. 2019, 145, 130-140

https://doi.org/10.1051/e3sconf/201910900118

RESPONSE OF OSCILLATORY SYSTEM “LIQUID LAYER- ROD”TO DRIVING DISTURBANCES

1YelisieievV.I., 1Lutsenko V.I.,2Shevchenko S.А., 2Shevchenko A.Р., 3Tolstopyat O.Р.,3Flieier l.О.

1Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine, 2InstituteofFerrous Metallurgynamed by Z.I. Nekrasov National Academy of Sciences of Ukraine, 3Oles Honchar Dnipro National University

UDC 532.696.5:541.18:534

Language: English

Abstract.

The study of generation and spread of surface waves in fluid layers is one of the main fields in mechanics. This article deals with main characteristics of the oscillating system "central body – liquid" by means of well-known representation in the form of a pendulum mathematical model. It makes possible to evaluate the spread of specified disturbances at the general physical level and to determine the most dangerous frequencies that lead to increased amplitudes of fluid oscillations. We propose some equations for single-frequency pendulums, which influence each other by means of resistance forces and added mass. Several examples with different natural frequencies of the central body and different frequencies of the disturbing force were considered. The frequency of natural oscillations of the liquid was assumed to be constant and corresponding to the depth of the liquid equal to 4 m. The calculation results showed that the resonant frequency of oscillation of the liquid layer in this system plays a decisive role. This is due to the fact that the mass of fluid is significantly greater than body mass. Moreover, in addition to the natural frequencies of the constituent elements, the system has two additional natural frequencies. As a matter of fact, one of these natural frequencies of the system is almost close to the natural frequency of the layer. For the range of parameters studied, the system responds only to those disturbances, in which the frequency is close to the natural frequency of the liquid layer. In this case, the amplitudes of the oscillations of the fluid and the body increase sharply. This indicates that in real technological processes it is necessary that at least the dominant perturbation frequency be as far away as possible from the first resonant frequency of the liquid. However, it should be borne in mind that the frequency spectrum of fluid oscillations in the zone adjacent to the central body can be quite wide and may contain dangerous low frequencies. Further experimental and theoretical studies that take into account the influence of the following modes on the dynamic picture of the process are also of interest.

Keywords: oscillatory system, frequency, central body, pendulum.

 

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About the authors

Yelisieiev Volodymyr Ivanovych, Candidate of Physics and Mathematics (Ph.D.), Senior Researcher, Senior Researcher in the Department of Mine Energy Complexes, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine (IGTM, NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

lutsenkovasyl Ivanovych, Candidate of Technical Sciences (Ph.D.), Senior Researcher, Senior Researcher in the Department of Mine Energy Complexes, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine (IGTM, NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Shevchenko Serhii Anatoliovich, Candidate of Technical Sciences Ph.D. (Tech.) Senior Researcher in the Department of Out-of-Furnace Treatment of Cast-Iron, Institute of Ferrous Metallurgy named by Z.I. Nekrasov of National Academy of Sciences of Ukraine, Dnipro, Ukraine.

Shevchenko Anatolii Pylypovych, Doctor of Technical Sciences (D.Sc.), Senior Researcher, Head of the Department of Out-of-Furnace Treatment of Cast-Iron, Institute of Ferrous Metallurgy named by Z.I. Nekrasov of National Academy of Sciences of Ukraine, Dnipro, Ukraine.

Tolstopyat Oleksandr Petrovych, Candidate of Technical Sciences (Ph.D.), Senior Researcher, Head of Laboratory, Oles Honchar Dnipro National University, Dnipro, Ukraine.

Flieier Leonid Oleksandrovych, Master of Science,Senior Researcher, Oles Honchar Dnipro National University, Dnipro, Ukraine.