Analytical solution of the contact problem for a system of bodies under collective wear
- Authors: Soldatenkov I.A.1
-
Affiliations:
- Ishlinsky Institute for Problems in Mechanics
- Issue: Vol 52, No 1 (2017)
- Pages: 52-61
- Section: Article
- URL: https://ogarev-online.ru/0025-6544/article/view/162860
- DOI: https://doi.org/10.3103/S0025654417010071
- ID: 162860
Cite item
Abstract
The contact problem is considered for a system of bodies subject to wear on a common base. The deformation properties of the bodies and the base are described by the Winkler model. The problem is reduced to a system of ordinary differential equations and an integral equation of hereditary type with difference kernel. The solution of the problem is constructed with the use of the Laplace transform. The asymptotics of the solution at large times is studied. The continuity conditions for the contact of each of the bodies with the base are derived.
About the authors
I. A. Soldatenkov
Ishlinsky Institute for Problems in Mechanics
Author for correspondence.
Email: iasoldat@gmail.com
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526
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