ANALYSIS OF THE EFFECT OF LOCAL LOADS ON THICK-WALLED CYLINDRICAL SHELLS WITH DIFFERENT BOUNDARY CONDITIONS

摘要

Two approaches to the analysis of the stress-strain state of thick-walled cylindrical shells with different boundary conditions under local loads are proposed. These approaches involve the division of a thick shell into several coaxial shells. One approach uses polynomials to approximate the unknown functions in plan and over the thickness. In the other approach, the unknown functions are approximated by linear polynomials in plan, and their distribution over the thickness is found from the analytical solution of the corresponding system of differential equations. The stress-strain state of the shell in the area of local loading is analyzed for different boundary conditions. It is shown that the effect of the boundary conditions on the stress-strain state is very weak for shells of high curvature and strong for shells of low curvature.