Abstract
The authors clarify the nature of the change in the initial perturbation during its propagation over composite elastic systems of periodic structure and estimate the applicability of the results obtained to describe longwave perturbations in systems with spoiled structure. Periodic systems containing piecewise-homogeneous elements along both the length and in the transverse direction are considered. By using integral transforms with subsequent inversion of the transforms, the longwave asymptote is found for a system of perturbations being propagated along the axis because of a longitudinal impact. The wave process is numerically investigated in the whole time interval and in the whole domain occupied by the perturbations by using an explicit finite-difference scheme.
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