ОПТИМИЗАЦИЯ СТРУКТУРЫ ПОЛА ПРОМЫШЛЕННОГО ЗДАНИЯ

Abstract

When determining the design of the floor, choosing materials and technology of its device, it is advisable to apply a systematic approach that takes into account its stress-strain state. The physical model of the floor of an industrial building in a simplified form is represented as a two-layer slab on an elastic base. The physical model of the floor of an industrial building in a simplified form is represented as a two-layer slab on an elastic base. The deformation of the ground base is inherent in the stress-strain state of the structure, which is manifested through geometric and mechanical characteristics, boundary conditions., glass fiber concrete is proposed as a coating material. It provides the compressive strength inherent in concrete and a proper crack resistance. The mathematical model is based on the S. Germain equation and the Winkler dependence. When solving the optimization problem in a linear elastic formulation, the criterion of the minimum potential energy of deformation is used, which leads to a minimum of material consumption. Its effectiveness is confirmed by comparing the results on a variational basis with the analysis of the regression equation. The modulus of longitudinal elasticity and the thickness of the layer are accepted as variable parameters. The calculation procedure uses a finite-difference analog of the mathematical model. A two-factor experiment is conducted to complete the study, the results of which are in good agreement with the theoretical calculations performed.