Design of ribbed shells subject to physically nonlinear deformation

Abstract

The method of successive loadings is used together with special discontinuous functions to study the stress-strain state of ribbed shells subject to physically nonlinear deformation. In the solution of differential equations with variable and singular coefficients, the surface of the shell is divided into elements and the variable coefficients are averaged within each element. The solutions of the equations are constructed in the form of a combination of functions of regular and special discontinuous functions, which makes it possible to convey the irregular nature of the stress state and account for the physical nonlinearity of the material.