Lisitsa N.I., Tverdokhleb T.Ye., Zabolotnaya E.Yu., Lisitsa N.N., Tolstenko A.V. Rubber elements for protecting machines against vibration and in-plant noise

Details

Parent Category: Geo-Technical Mechanics, 2018

Category: Collection of scientific papers «Geotekhnicheskaya Mekhanika» Issue 138

Geoteh. meh. 2018, 138, 169-176

DOI: https://doi.org/10.15407/geotm2018.01.169

Rubber elements for protecting machines against vibration and in-plant noise

Lisitsa N.I., Tverdokhleb T.Ye., Zabolotnaya E.Yu., Lisitsa N.N., Tolstenko A.V.

Authors:

Lisitsa N.I., Ph.D. tech. Sciences, Senior Researcher (IGTM NAS of Ukraine)

Tverdokhleb TE, Engineer, Researcher (IGTM NAS of Ukraine)

Zabolotnaya E.Yu., engineer, engineer of category I (IGTM NAS of Ukraine)

Lisitsa N.N, Assistant of the Department of Computer Technologies, Faculty of Applied Mathematics, Dnipropetrovsk National University. O. Gonchar

Tolstenko A.V., Ph.D. tech. Sciences, Associate Professor Dniprovsky State Agrarian-Economic University

UDC 678.4:539.3

Language:Russian

Abstract.

The article gives an overview of the formation of ideas about the mechanisms of destruction of solids, since the end of the nineteenth century. We consider the early work of A.F. Ioffe, A.A. Griffiths, Irvine, G.V. Kolosov and others. The popularity criterion for the destruction of Griffiths, based on the energy balance, is noted for calculating the movement of cracks. The approaches of E.M. Morozova, J-integral of Cherepanov-Rice, the work of A.A. Lebedev, V.Z. Parton, A.N. Guz, I.A. Miklashevich, G.I. Baranblatt, the criteria for the destruction of Dagdale, Leonov-Panasyuk, etc. It is shown that it is expedient to use fractal models to describe the micro-features of real cracks. Therefore, we consider such important issues as: the general scheme of the fractal approach, the generalized fractal model of the real crack, the effect of the fractal dimension of the crack on the value of the stress intensity factor, the mathematical description of the synergetic model of a fractal crack.

At the microlevel, the profile of a rough crack is approximated by a fractal object; at the macro level, the crack has the form of a smooth contour, so the classical formulations of fracture problems remain valid; the additional parameter, fractal dimension, is the carrier of the fractal micro-features of the crack. To estimate the real “length” of the crack, an entropy a-dimensional measure is constructed. With the help of this approach, a fractal generalization of the energy criterion for the destruction of solids containing cracks with a fractal singularity at the micro level becomes possible. The magnitude of the elastic energy is determined at the macro level; the surface energy needed to create two fractal surfaces is recorded taking into account the fact that at the micro level the fracture has a fractal roughness. Such an approach makes it possible to establish a link between micro- and macrolevels, while allowing the concept of structure as such to be translated to a higher level of formalization.

In the conclusion of the article, a fractal generalization of the energy concept of the destruction of solids is considered. In particular, the problem of damage accumulation and fractal analysis of rubbers during long cyclic destruction is considered. For a specific rubber, the fractal dimension of the fracture surface is found: in the initial state and when more than 30,000 hours have been worked out under extreme cyclic loading. A change in the Poisson’s ratio for the original rubber and “loosened” for prolonged fatigue is shown.

Keywords:

vibration isolator, vibration isolation system, fan, screening, vibration load.

References:

1. Dyrda, V.I., Lisitsa, N.I., Kozub, Yu.G., Agaltsov, G.N., Zabolotnaya, Ye.Yu., Tverdokhleb, T.Ye. and Lisitsa, N.N. (2016), “Low-frequency vibration isolation of heavy technology machines using elastomeric elements”, Geo-Technical Mechanics, no. 133, pp. 56-65, Dnipro, Ukraine.

2. Vaisberg, L.A. (1986), “Proyektirovanie i raschet vibratsionnykh grokhotov” [Design and calculation of vibrating screens], Nedra, Moscow, USSR.

About the authors

Lisitsa Nikolay Ivanovich, Candidate of Technical Sciences (Ph. D.), Senior Researcher, Senior Researcher in Department of Elastomeric Component Mechanics in Mining Machines, Institute of Geotechnical Mechanics named by N. Polyakov of National Academy of Science of Ukraine (IGTM NASU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Tverdokhleb Tatyana Yemelyanovna, Master of Science, Researcher of Department of Elastomeric Component Mechanics in Mining Machines, Institute of Geotechnical Mechanics named by N. Polyakov of National Academy of Science of Ukraine (IGTM NASU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Zabolotnaya Elena Yuryevna, Master of Science, First Category Engineer in Department of Elastomeric Component Mechanics in Mining Machines, Institute of Geotechnical Mechanics named by N. Polyakov of National Academy of Science of Ukraine (IGTM NASU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Lisitsa Natalya Nikolaevna, Master of Science, Assistant of computer technologies department, faculty of applied mathematics, Oles Honchar Dnipro National University (Oles Gonchar DNU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Tolstenko Alexandr Vasilyevich, Candidate of Technical Science (Ph. D.), Associate Professor of Department «Reliability and repair of machinery», Dnipro State Agrarian and Economic University (DSAEU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

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