Impulsive loading of a cylindrical shell with transverse shear and rotatory inertia

Abstract Theoretical solutions are presented for the dynamic response of a simply supported cylindrical shell which is loaded impulsively and made from a rigid perfectly plastic material. The influence of rotatory inertia in the equilibrium equations is examined and plastic behaviour is controlled by a yield condition which retains the transverse shear force as well as the circumferential membrane force and longitudinal bending moment. It appears that transverse shear effects exercise a less important influence on the maximum permanent transverse displacements of cylindrical shells with practical dimensions than found earlier for impulsively loaded beams and circular plates. Nevertheless, transverse shear effects do exercise an important influence on the partition of the initial kinetic energy which is absorbed in the various deformation modes.