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.
KeywordsTimoshenko-type circular cylindrical shell Superposition method Spatial influence function Fourier series Integral transformations Non-stationary spatial motion
The authors would like to acknowledge the financial support of the Russian Foundation for Basic Research (project № 19-08-01023 A).
- 4.Mikhailova, E.Y., Tarlakovskii, D.V., Fedotenkov, G.V.: Transient contact problem for liquid filled concentric spherical shells and a rigid barrier. In: Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics (2018), pp. 385–386Google Scholar
- 5.Fedotenkov, G.V., Mikhailova, E.Y., Kuznetsova, E.L., Rabinskiy, L.N.: Modeling the unsteady contact of spherical shell made with applying the additive technologies with the perfectly rigid stamp. Int. J. Pure Appl. Math. 111(2), 331–342 (2016)Google Scholar