Kobets A.S., Dyrda V.I., Naumenko M.M., Sokol S.P., Huridova V.O. Stress distribution in a rubber-metal block under compression by static load

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Parent Category: Geo-Technical Mechanics, 2021

Category: Geo-Technical Mechanics, 2021, № 157

Geoteh. meh. 2021, 157, 80-90

https://doi.org/10.15407/geotm2021.157.080

 

STRESS DISTRIBUTION IN A RUBBER-METAL BLOCK UNDER COMPRESSION BY STATIC LOAD

¹Kobets A.S., ²Dyrda V.I., ¹Naumenko M.M., ¹Sokol S.P., ¹Huridova V.O.

¹Dnipro State Agrarian and Economic University, ²Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Science of Ukraine

UDC 678.4+539.3/4

Language: Ukrainian

Abstract. The problem of determining the stress-strain state of a prismatic rubber-metal block when it is compressed by a static load is considered. A mathematical model is proposed, which assumes that when a block is compressed by a vertical load, its horizontal sections remain horizontal, the metal components of the block are rigid, non-deformable, points located on a vertical line during loading remain on a parabola, and rubber is considered incompressible. Accepted assumptions provided an opportunity to obtain expressions for movements along the axes of symmetry, which provide the expected parabolicity during compression of the rubber-metal block and satisfy the condition of incompressibility. The formulas for normal and tangential stresses arising during block compression are derived, which satisfy the differential equation of equilibrium of the elementary volume, Hooke’s law, and take into account the boundary conditions on the sides of the rubber body. Given the geometric parameters of the block and the mechanical characteristics of the rubber, it was possible to calculate its drawdown depending on the degree of static load, as well as to analyze the distribution of normal and tangential stresses that occur in the block.
The developed mathematical model of the compression process allowed, as an example, to analyze the stress-strain state of a rubber-metal block of the BRM‑102 type, for the manufacture of which rubber of the brand 51‑1562 was used. As a result of solving the problem, distribution diagrams of normal, tangent, and total stresses arising in dangerous sections (on the upper or lower sides of the rubber body) under loading are constructed. It was found that the maximum normal stresses and maximum total arise on the vertical axis of symmetry of the block; maximum tangential stresses are realized at corner points. The ability to receive this type of illustration allows you to visually determine which is more rational to use: one block with a horizontal section of 200(100 mm or two blocks with a size of 100(100 mm. The proposed mathematical model allows us to study the stress-strain state of a rubber-metal block under compression, and can also be used in the design of a block with predetermined characteristics.
Keywords: rubber-metal block, stress-strain state, displacements, stresses, relative deformation, mathematical model.

REFERENCES:

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About the authors:

Kobets Anatolii Stepanovych, Doctor of Public Administration, Professor, Rector, Dnipro State Agrarian and Economic University, Dnipro, Ukraine,  This email address is being protected from spambots. You need JavaScript enabled to view it.

Dyrda Vitalii Illarionovych, Doctor of Technical Sciences (D. Sc.), Professor, Head of Department of Elastomeric Component Mechanics in Mining Machines, Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Science of Ukraine, Dnipro, Ukraine,  This email address is being protected from spambots. You need JavaScript enabled to view it.

Naumenko Mykola Mykolaiovych, Candidate of Technical Sciences (Ph.D.), Professor, Dnipro State Agrarian and Economic University, Dnipro, Ukraine,  This email address is being protected from spambots. You need JavaScript enabled to view it.

Sokol Serhii Petrovych, Candidate of Technical Sciences (Ph.D.), Associate Professor, Dean of the Faculty of Engineering and Technology, Dnipro State Agrarian and Economic University, Dnipro, Ukraine,  This email address is being protected from spambots. You need JavaScript enabled to view it.

Huridova Viktoriia Oleksandrivna, Master of Science, Senior Teacher, Dnipro State Agrarian and Economic University, Dnipro, Ukraine,  This email address is being protected from spambots. You need JavaScript enabled to view it.

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