Transient Responses of a Cantilever Cylindrical Shell Subjected to Impulsive Loads on Its Free Edge : The Influences of Rotatory Inertia and Transverse Shear Deformation

Abstract

In this paper, the transient responses of a cantilever circular cylindrical shell subjected to impulsive loads on its free edge are analyzed on the basis of an improved dynamic shell theory, namely, Mirsky-Herrmann's theory, considering the influences of the rotatory inertia and the transverse shear deformation by the use of Laplace transformation. The numerical results are compared with those previously obtained by the author via Flugge's classical dynamic theory. It is shown that the results predicted by the classical and the improved dynamic shell theories are in good agreement about the displacement components and the in-plane stress resultants, but are considerably different from each other about the out-of-plane stress resultants, namely, the bending moments and the transverse shearing forces.