Non-linear theory of shells

Abstract

A partially non-linear theory of anisotropic shells of uniform thickness is presented. Variational integrals of the stress equations of motion (26) and boundary conditions (27) consistent with simplified strain-displacement relations (9) are obtained from the Hamilton principle. The displacements and deflection are assumed to vary linearly across the thickness of the shell. The transverse shear and transverse normal strains as well as rotatory inertia and thermal effects are included in the analysis. One special case of the final equations of motion is considered.