Numerical methods for contact analysis of complex-shaped bodies with account for non-linear interface layers

Authors

DOI:

https://doi.org/10.15587/1729-4061.2018.143193

Keywords:

contact interaction, Kalker’s variational principle, boundary integral equations method, Winkler’s layer

Abstract

In order to ensure high technical characteristics of machines for various applications, it is necessary to increase the strength of the most loaded and heavy-duty elements of constructions, which are complex-shaped components under intense contact loads. When bodies get in contact over surfaces of close shape, new factors that have not been taken into account before come into play. In particular, nonlinear contact stiffness of the surface layers of the components is among them. Accordingly, nonlinear components appear in impenetration contact conditions instead of traditional linear ones. To study the contact interaction with account for such constraints, a new method for stress-strain state analysis and structural strength design of various machine parts has been developed on the basis of a modification of the Kalker’s variational principle. Nonlinear models of the material behavior of the surface layers of contacting complex-shaped bodies were created and applied. The discretization of the resulting mathematical problem was performed with the help of the developed version of the boundary element method.

The developed models of contact interaction combine physical and structural nonlinearities. This provides more accurate modelling of stress-strain state of contacting complex-shaped bodies in comparison with conventional approaches. The peculiar variation of the contact pressure distribution with the change of the gap shape and the properties of the interface layer between the contacting bodies were studied on this basis. It is possible to derive more relevant recommendations to justify design and technological solutions with account for the results of such analysis. Eventually, this will enhance the technical characteristics of machines of various applications

Author Biographies

Mykola M. Tkachuk, National Technical University «Kharkіv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Senior Researcher

Department of Theory and Systems of Automated Design of Mechanisms and Machines

Nataliia Skripchenko, National Technical University «Kharkіv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Researcher

Department of Theory and Systems of Automated Design of Mechanisms and Machines

Mykola A. Tkachuk, National Technical University «Kharkіv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

Doctor of Technical Sciences, Head of Department

Department of Theory and Systems of Automated Design of Mechanisms and Machines

Andrei Grabovskiy, National Technical University «Kharkіv Polytechnic Institute» Kyrpychova str., 2, Kharkiv, Ukraine, 61002

PhD, Senior Researcher

Department of Theory and Systems of Automated Design of Mechanisms and Machines

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Published

2018-09-28

How to Cite

Tkachuk, M. M., Skripchenko, N., Tkachuk, M. A., & Grabovskiy, A. (2018). Numerical methods for contact analysis of complex-shaped bodies with account for non-linear interface layers. Eastern-European Journal of Enterprise Technologies, 5(7 (95), 22–31. https://doi.org/10.15587/1729-4061.2018.143193

Issue

Vol. 5 No. 7 (95) (2018): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2018 Mykola M. Tkachuk, Nataliia Skripchenko, Mykola A. Tkachuk, Andrei Grabovskiy

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