Contact statement of mechanical problems of reinforced on a contour sandwich plates with transversal-soft core

For the sandwich plates and shells with transversal-soft core and carrier layers having on the outer contour of the reinforcing rod, for small deformations, and middle displacements refined geometrically nonlinear theory is built, allowing to describe the process of the subcritical deformation and identify all possible buckling of carrier layers and reinforcing rods. It is based on the introduction as unknown contact forces at the points of interaction mating surface of the outer layers with filler and carrier layers and a core with reinforcing rods at all points of the surface of their conjugation to the shell contour. To derive the basic equations of equilibrium, static boundary conditions for the shell and reinforcing rods, as well as conditions of the kinematic coupling of the carrier layers with a core, the carrier layers and a core with reinforcing rods previously proposed a generalized Lagrange variational principle is used.