Nonstationary plane contact problem in theory of elasticity for conformal cylindrical surfaces

【Author】

Veniamin D.Kubenko;Ihor V.Yanchevskyi;S.P.Tymoshenko Institute of Mechanics of National Academy of Science of Ukraine;National Technical University of Ukraine "Kyiv Polytechnic Institute";

【Institution】

S.P.Tymoshenko Institute of Mechanics of National Academy of Science of Ukraine;National Technical University of Ukraine "Kyiv Polytechnic Institute";

【Abstract】

A numerical–analytical approach is described to investigate the process of impact interaction between a long smooth rigid body and the surface of a circular cylindrical cavity in elastic space. A non-stationary mixed initial boundary value problem is formulated with a priori unknown boundaries moving with variable velocity. The problem is solved using the methods of the theory of integral transforms, expansion of desired variables into a Fourier series, and the quadrature method to reduce the problem to solving a system of linear algebraic equations at each time step. Some concrete numerical computations are presented.The cylindrical body mass and radius impact on the proile of the transient process of contact interaction has been analysed.

【Keywords】

Non-stationary mixed problem;;Cylindrical cavity in elastic medium;;Rigid body;;Contact interaction;;Fourier expansion

References

To explore the background and basis of the node document

Springer Journals Database

Total: 24 articles

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  • [4] Michele Ciavarella;;Paolo Decuzzi, The state of stress induced by the plane frictionless cylindrical contact. II. The general case (elastic dissimilarity), International Journal of Solids and Structures, 2001 (26)

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