Theory of Moderately Large Deflections of Sandwich Shells Having a Transversely Soft Core and Reinforced Along Their Contour

摘要: Variants of sandwich structural elements in the form plates and shells with a transversely soft core are analyzed. Their outer, load-carrying layers reinforced along their outer contour elastic bars to ensure transfer loads during interaction other elements. For such structures, at small strains moderate displacements, refined geometrically nonlinear theory is constructed that allows one describe subcritical deformation reveal all possible buckling modes (cophasal, antiphasal, mixed flexural, shear-flexural, arbitrary including listed ones) reinforcing (flexural, pure shear ones various stressstrain states). This based on considering forces as unknowns. To derive basic equations static equilibrium, boundary conditions for shell stiffening bars, kinematic conjunction generalized Lagrange variational principle proposed earlier utilized. The suggested differs from known variants by high degree accuracy maningfulness minimum number unknown two-dimensional functions shells, one-dimensional contact between