DEFORMATION MECHANICS OF A SHALLOW SHELL

Equations with partial derivatives of the mechanics of deformation of a shallow shell by de-composition, separation of variables, are reduced to ordinary equations and their connection equations at the point of intersection of independent variables. Solutions of homogeneous ordinary differential equations are determined by matrix convergent series. They satisfy arbitrary initial conditions. This makes it possible to exclude constant integrations from the solutions. The solutions establish a relationship between the quantities characterizing the states of the shell sections, including those at the edges, necessary to set the boundary conditions. For decomposition and modeling of the surface load, a mesh is applied on the shell element. Parametric studies with mesh refinement showed a fast convergence of the solution.