Local strength of thin-walled structures

We suggest efficient methods for studying stress concentrations in thin-walled structural members. The advantages of these methods are determined by their essential distinguishing characteristics as compared with well-known methods. After the separation of variables, the solution of linear ordinary differential equations of shell strain mechanics is analytically determined in the form of a matrix Taylor series. The property of the solution to satisfy arbitrary initial conditions allows one simply to reduce the boundary conditions to the initial conditions prior to calculating. Another method for structures with arbitrary parameters of the shells permits one to transfer the boundary conditions by a multiplicative method to the stress concentration site and to use them as the initial conditions in studying the stress concentration. We present the results of investigations of the stress concentration in transport-launch containers of aircraft by various methods.