GRAPHIC-ANALYTICAL METHOD FOR STUDYING THE STRENGTH OF SHELL DESIGNS OF THE MINIMUM MASS

This article proposes a theoretically substantiated graph analytical method for studying the bearing capacity of orthotropic shell structures of minimum mass. A conceptually new approach to the analysis of optimization processes is considered. It is a rejection of the deterministic approach when exact initial data are specified and the same exact results are expected. In reality, there is some variation in the values of the initial parameters, which can significantly change the extreme values of optimization. Taking into account the sensitivity of orthotropic shells to the choice of the geometry of the force set, in this paper, optimization is carried out by constructing the region of the permissible scatter of its initial values, provided that the probable strength of the structure is ensured with its minimum weight. The numerical calculations presented in the work testify to the efficiency and visibility of the graph-analytical method, as well as its ability to carry out automated calculations. By analogy with structurally orthotropic shells by the graph analytical method, it is possible to construct the regions of optimal values of the initial parameters, when they are scattered, any material products, including objects of military equipment (during their manufacture or repair), which would provide from a given degree of probability to achieve the set goals. The proposed method for calculating the optimal structural parameters allows us to establish in a number of cases the technical requirements for the accuracy of their manufacture, which can be reflected in the DSTU standards.