Transient Spatial Motion of Cylindrical Shell Under Influence of Non-stationary Pressure

This paper investigates a transient spatial problem for cylindrical shell of a Tymoshenko-type subjected to external pressure distributed over some area belonging to a lateral surface. The approach to the solution is based on the Influence Function Method. There has been constructed an integral representation of the solution with a kernel in form of a spatial influence function for a cylindrical shell which is found analytically by expansion in Fourier series and Laplace and Fourier integral transformations. This paper proposes and implements an original algorithm of analytical reversion of Fourier and Laplace integral transforms based on connection of Fourier integral with an expansion in Fourier series based on connection of Fourier integral with expansion in Fourier series at variable interval with examples of calculations.