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Axisymmetric nonstationary elastic contact problem for conforming surfaces

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Abstract

A numerical analytic approach has been described to investigate the process of impact interaction of a solid spherical body with the inner surface of a spherical cavity in elastic space. A nonstationary mixed initial boundary problem is stated with generally a priori unknown movable boundaries. The methods of integral transforms and expansion of sought for values in Fourier series and the quadrature method are used to reduce the problem in solving a system on integral equations jointly with body motion equations and a relationship for determining the contact area boundary. Concrete numerical computations were done for different relationships of body and cavity radii. The impact of the relationship of body radii and mass on the characteristics of contact interaction have been analysed.

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Authors and Affiliations

  1. S.P. Tymoshenko Institute of Mechanics of National Academy of Science of Ukraine, Kyiv, Ukraine

    Veniamin Kubenko

  2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

    Ihor V. Yanchevskyi

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  1. Veniamin Kubenko
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  2. Ihor V. Yanchevskyi
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Correspondence to Ihor V. Yanchevskyi.

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Kubenko, V., Yanchevskyi, I.V. Axisymmetric nonstationary elastic contact problem for conforming surfaces. Arch Appl Mech 88, 1559–1571 (2018). https://doi.org/10.1007/s00419-018-1387-5

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