A Sierpiński 3D-Fractals in Construction. An Alternative to Topological Optimization?

In modern architecture, the task of creating light-weight and durable structures that allow you to build more durable and openwork buildings, as well as save construction materials, is relevant. Within the framework of this study, this problem is solved by geometric methods, which means creating a ration-al geometry. At the same time, two modern methods were used. They are optimization of topography and 3D-fractals based construction. The comparison of the methods is carried out on the example of increasing the related to weight strength of a wall console. Topology optimization was carried out using the SIMP method, which was applied according to a multi-stage scheme. Fractal constructions were created on the basis of three-dimensional analogues of the Sierpiński triangle with a different number of iterations. Their effectiveness was compared with each other, and they also were additionally tested at different weights, which made it possible to determine the stability gain that the design acquires when it becomes more complex by one pre fractal iteration. According to the results of the computer simulation, it was possible to increase the strength of the console many times, as well as to determine some criteria for choosing a particular geometric method to solve the problem of increasing the specific strength of the structure, depending on the requirements.