Non-linear dynamic response of a doubly curved shallow shell on an elastic foundation

This paper deals with the moderately large dynamic response of a doubly curved shallow spherical shell of rectangular plan form, supported on a two parameter elastic subgrade and subjected to uniformly distributed step and sinusoidal loadings. Von Karman-Donnell type non-linear partial differential equations of motion are employed and solved by using finite difference and Houbolt time marching techniques. Two boundary conditions are considered. The influence of stiffnesses and mass of the elastic subgrade on the moderately large amplitude of response of the shell has been investigated.