Axisymmetric impulsive loading of shallow spherical shells

Axisymmetric forced response of shallow spherical shells is considered on the basis of an improved theory which takes into account rotatory inertia and shear deformation effects. Explicit solutions are obtained for distributed, ring and concentrated impulsive loadings with half sine, triangular, blast and rectangular pulse shapes. Natural frequencies are presented for the first 18 modes of four shell models with clamped and supported edges. Numerical results for the forced response of the shells are presented to illustrate the difference between improved and classical theories and effects of edge conditions, loading conditions, pulse shapes and pulse duration. © 1973 American Institute of Aeronautics and Astronautics, Inc. All rights reserved.