Abstract
An exact analytical solution has been constructed for the plane problem on action of a non-stationary load on the surface of a layer of compressible liquid such that its upper boundary is the free surface, whereas the bottom surface is in contact with a completely rigid body. Laplace and Fourier integral transforms are used. Their inversions were obtained with the help of tabular relationships and the convolution theorem for a wide range of acting non-stationary loads. Expression for pressure was obtained in explicit form. The solution is presented as a sum, with each term representing a next wave successively reflected from the bed or the daylight surface. The obtained expressions allow determining the wave process characteristics in any point of the layer at an arbitrary moment of time. Distinctive features of wave processes are analyzed compressible liquid layer non-stationary loading closed solution
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Kubenko, V.D. Analytical solution to a non-stationary load on an infinite strip of compressible liquid. Arch Appl Mech 88, 1163–1173 (2018). https://doi.org/10.1007/s00419-018-1364-z
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DOI: https://doi.org/10.1007/s00419-018-1364-z