| Abstract: | An approach to the solution of unsteady problems with mixed boundary conditions for a layer of heavy fluid is developed. The plane problem of wave excitation by displacements given in a certain region of the lower boundary of the layer when the upper boundary is partially covered by an elastic plate is examined by way of illustration. As distinct from 1, 2], the proposed approach makes it possible to construct a solution in the form of a sum of harmonics and to carry out an analytic investigation into the nature of the propagation and stabilization of the wave fields. The space-time regions of the forming and formed wave packets are identified.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 100–106, November–December, 1985. |
