Impact of a plane compression wave on a cylindrical shell filled with fluid

A nonstationary strain of elastic cylindrical shell filled with an ideal compressible fluid under the action of a plane stepwise compression wave propagating in an external elastic medium is investigated. It is assumed that the shell is infinite, and the front of the incident wave is parallel to its axis. An expansion in a Fourier series in terms of natural vibration modes and finite differences in the radial coordinate in time is used to solve the problem. The asymptotic behavior of excitations as t → ∞ (t – is time) is investigated similarly to. The approach makes it possible to obtain reliable and complete information about the basic physical patterns of the nonstationary strain of a cylindrical shell filled with fluid over the entire impact range of an elastic wave on the system.