Numerical Studies of the Influence of the Parameters of Thin-Shell Dome Structure on Their Optimization From the Position of Spatial Stability

Abstract

Statement of the problem. The task was to evaluate the influence of the parameters of thin-walled dome coatings using the capabilities of modern software complexes. The method of optimization of dome covering structures with selection of criteria and parameters of the task has been improved. Results. The article presents the results of refinement and testing of the methodology for addressing the problem of optimizing dome structures with the choice of criteria and parameters of the optimization problem using the capabilities of the Topological Optimization module of the finite-element computational complex MidasCivil. The objective function was considered dependent on the thickness of the dome, the modulus of elasticity of the Poisson coefficient of the material. The study employs the positions of the theory of elasticity, solid body deformation mechanics, construction mechanics, as well as mathematical modeling methods based on the use of the finite element method employing modern licensed finite-element computing complexes Midas Civil and the Ing + architectural and construction design system of the calculation module MicroFe. Conclusions. Using the methods of optimal (in particular, geometric) design, the most affecting parameters of thin-walled dome coatings and their combinations were identified. This will allow us to design the most rational, economical and architectural-expressive dome structures as well as to make sound design decisions.

Bionics in architecture and geometric modelling of thin shell surfaces

“…Taking into account structural requirements, the geometry of shells [7,10,12,13] is considered in detail, depending on different ways of their support on: walls (supporting rings); columns (columns); directly on foundations (solid or separate); supports, which are an organic transition between the shell and the foundation; combined (mixed) support on walls and cables; console support; "floating" foundations. The influence of overlapped span size on the choice of shell shape was studied.…”

“…Taking into account the functional series of peculiarities of the geometric surface of the dome [12,13], it is important to fulfill this relation b  H. С. Taking into account the design mathematical parameters of the surface, the following inequality corresponds to the above inequality: R  Hk.…”