Non-linear studies of orthotropic shallow spherical shells on elastic foundation

TLDR: In this paper, the effects of material orthotropy, foundation parameters and shell-material damping on the deflection response are determined for the clamped and the simply-supported immovable edge conditions accurately.

Abstract: Governing non-linear integro-differential equations for cylindrically orthotropic shallow spherical shells resting on linear Winkler-Pasternak elastic foundations, undergoing moderately large deformations are presented. Three problems, namely, non-linear static deflection response, non-linear dynamic deflection response and dynamic snap-through buckling of orthotropic shells have been investigated. The influences of material orthotropy, foundation parameters and shell-material damping on the deflection response are determined for the clamped and the simply- supported immovable edge conditions accurately. Orthotropy, foundation interaction and material damping play significant roles in improving the load carrying capacity of the shell structures.