The theme of the final thesis deals with the problem of the design of load-bearing structures (with an emphasis on geodetic domes), covered with a membrane roof covering, and subjected to the hydrostatic pressure. Motivation for studying constructions under such a load is underwater habitats or habitats in an outer space. To calculate the deformation and stress of different constructions, a numerical model is constructed according to the finite element method in which the membrane and the pressure load are replaced by the approximate distribution of the reaction forces along the edge of the membrane. A system for generating a network of finite elements of the skeletal structure and a system for modelling distributed load in the corresponding nodes of the finite elements is described. Thus, the process of modeling such a construction is simplified. A numerical approach using the finite element method was also used to determine the approximation function of force distribution. In numerical calculations of transversely loaded, initial flat membranes, problems arise due to the low initial stiffness of the membranes in the transverse direction. We have resolved this with the membrane preload through the temperature load.
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