Compression of thin layer rubber-metal elements

Dyrda V.I., Grebenyuk S.N., Reshevskaya K.S., Sokol S.P., Novikova A.V.

Authors:

Dyrda V.I., D. Sc. (Tech.), Professor (IGTM NAS of Ukraine),
Grebenyuk S.N., D. Sc. (Tech.) (ZNU),
Reshevskaya K.S., Ph. D. (Tech.), Associate Professor (ZNU),
Sokol S.P., Ph. D. (Tech.) (DSAEU),
Novikova A.V., M.S. (Tech.) (IGTM NAS of Ukraine)

UDC 678:539.376

Language: Russian

Abstract.

The authors study the thin-layer rubber-metal elements containing alternating layers of elastomer and metallic reinforcing plates. Similar elements are used in heavily loaded devices in order to ensure an accurate fixation of the structure in one direction and free movement in other directions. The compressive loads allowed for the thin-layer elements can reach 100 MPa.

The article presents numerical calculation of the thin elastomeric layer compression under the action of vertically applied force with using of moment scheme of finite element and with taking into account the elastomer specific properties. The calculations obtained analytically by V.L. Biederman with taking into account simplifications that simulate the behavior of the elements are compared with calculations obtained by numerical methods based on the moment scheme of the finite element. The moment scheme assumes a series expansion of displacement fields, deformation components, volume change functions and retention of a certain number of terms according to the relevant rules. The obtained numerical results are compared with the known analytical ones obtained with allowance for simplifications simulating the behavior of elements whose thickness is tens and hundreds times smaller than the dimensions of the elements in the plan. The simplifications relate to restrictions for moving along the axes aligned with the mean plane of the rubber layer. The removal of constraints made it possible to calculate the three-dimensional stress-strain state with different dimensions of the elements. Spatial calculation of the thin-layer rubber-metal element in the form of a washer was carried out with different values of the radius-thickness relationship.

Keywords:

thin-layer rubber element, moment scheme of the finite element, numerical solutions, calculation of three-dimensional stress-strain state

References:

1. Kirichevskiy, V.V. (2002), Metod konechnykh elementov v mekhanike elastomerov [The finite element method in mechanics of elastomers], Naukova dumka, Kiev, Ukraine.

1. Biderman, V.L. and Martyanova, G.V. (1983), “Compression and bending of thin-layer rubber-metal elements”, Raschety na prochnost, no. 23, pp. 32-47.

2. Zenkevich, O.K. (1975), Metod konechnykh elementov v tekhnike [Finite element method in engineering], Mir, Moscow, USSR.

3. Dyrda, V.I., Goncharenko, A.V. and Zharko, L.A. (2010), “Solution of the problem of compression of a viscoelastic cylinder by the Ritz method”, Geo-Technical Mechanics, no. 86, pp. 113-124.

About the authors:

Dyrda Vitaly Illarionovich, Doctor of Technical Sciences (D. Sc.), Professor, Head of Department of Elastomeric Component Mechanics in Mining Machines, M.S. Polyakov Institute of Geotechnical Mechanics under the 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.

Grebenyuk Sergey Nikolayevich, Doctor of Technical Sciences (D. Sc.), Head of the Department of Mathematical Analysis in Zaporizhzhya National University (ZNU), Zaporizhzhya, Ukraine

Reshevskaya Yekaterina Sergeyevna, Candidate of Technical Sciences (Ph. D.), Associate Professor of Information Technologies in Zaporizhzhya National University (ZNU), Zaporizhzhya, Ukraine

Sokol Sergey Petrovich, Candidate of Technical Sciences (Ph. D.), Senior Teacher of Dnepropetrovsk State Agrarian and Economic University (DSAEU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Novikova Alina Vyacheslavovna, Master of Science, Junior Researcher of Department of Elastomeric Component Mechanics in Mining Machines, M.S. Polyakov Institute of Geotechnical Mechanics under the 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.