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Nonstationary Plane Elastic Contact Problem for Matched Cylindrical Surfaces

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Abstract

An approach is proposed to study a collision of a long cylinder with the inside surface of a circular cylindrical cavity in an elastic medium. The problem is solved in plane formulation. A nonstationary mixed initial–boundary-value problem with unknown boundaries moving with a variable velocity is formulated and then reduced to an infinite system of Volterra integral equations of the second kind or, in a simplified formulation, to a sequence of Volterra integral equations. The penetration velocity is determined as a function of the cylinder mass and initial conditions. It is established that the reaction force peaks instantaneously and then dies out

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  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    V. D. Kubenko

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  1. V. D. Kubenko
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Kubenko, V.D. Nonstationary Plane Elastic Contact Problem for Matched Cylindrical Surfaces. International Applied Mechanics 40, 51–60 (2004). https://doi.org/10.1023/B:INAM.0000023810.17828.f2

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  • DOI: https://doi.org/10.1023/B:INAM.0000023810.17828.f2

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