Abstract
The paper deals with the early stage of impact of a solid cylindrical body on the surface of a cylindrical cavity for zero and non-zero gap between the cavity surface and the body surface. As a result, the stated mixed non-stationary boundary value problem with the unknown variable in the time boundary is formulated. Its solution is reduced to a joint solution of an infinite system of linear integral Volterra equations of the second kind and the differential equation of the body movement. In the case of simplified formulation, the solution is reduced to the infinite sequence of the linear integral Volterra equations. Hydrodynamic and kinematic characteristics are also obtained.
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