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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