Application of mathematical modeling to solve problems of optimization of lattice structures

Abstract

The paper deals with the application of mathematical modeling for solution of problems of optimum design of mesh structures. We will consider the method of analysis of power circuits for solving problems of structural optimization of such structures. A system for automating a computational experiment, modeling, and numerical calculation is proposed in the paper. The authors consider a mathematical model of joint deformation of the rib structure and skin, presented algorithms for solving the problem of optimal design. The problem of choosing the optimal variant of the arrangement of annular ribs in a cylindrical structure is considered as an example