Abstract
A problem on the impact of an elastic rod of circular cross-section onto an Uflyand-Mindlin isotropic elastic plate is considered. The radial method, which allows construction of an approximate solution behind fronts of discontinuity surfaces up to the boundary of the contact region by means of segments of power series with variable coefficients, is used as a method of solution. It is, however, established that segments of radial series are not uniformly suitable throughout the region of existence of wave motion. A method of multiple scales is used for their regularization. The method, based on asymtotics of the radial series, permits construction of a uniformly suitable expansion containing a smaller number of terms than segments of radial series, but equal to them in accuracy.
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