Contact interaction of thin-walled elements with an elastic layer and an infinite circular cylinder under torsion

We consider a class of contact torsion problems on interaction of thin-walled elements shaped as an elastic thin washer - a flat circular plate of small height - with an elastic layer, in particular, with a half-space, and on interaction of thin cylindrical shells with a solid elastic cylinder, infi...

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Bibliographic Details
Published in:Journal of physics. Conference series 2018-04, Vol.991 (1), p.12037
Main Authors: Kanetsyan, E G, Mkrtchyan, M S, Mkhitaryan, S M
Format: Article
Language:English
Subjects:
Circular cylinders
Circular plates
Cylindrical shells
Elastic cylinders
Elastic layers
Fourier transforms
Fredholm equations
Half spaces
Integral equations
Kernels
Mathematical models
Physics
Shells
Singular integral equations
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Summary:We consider a class of contact torsion problems on interaction of thin-walled elements shaped as an elastic thin washer - a flat circular plate of small height - with an elastic layer, in particular, with a half-space, and on interaction of thin cylindrical shells with a solid elastic cylinder, infinite in both directions. The governing equations of the physical models of elastic thin washers and thin circular cylindrical shells under torsion are derived from the exact equations of mathematical theory of elasticity using the Hankel and Fourier transforms. Within the framework of the accepted physical models, the solution of the contact problem between an elastic washer and an elastic layer is reduced to solving the Fredholm integral equation of the first kind with a kernel representable as a sum of the Weber-Sonin integral and some integral regular kernel, while solving the contact problem between a cylindrical shell and solid cylinder is reduced to a singular integral equation (SIE). An effective method for solving the governing integral equations of these problems are specified.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/991/1/012037