The fractal structures paradigm is applicable for creating the complex architectural objects. Using special programs, it is possible to implement a comprehensive model of the fractal architecture building as a structure consisting of an endostructure and an exostructure. During the study, the first two iterations of the endostructure on the possibility of using such structures’ element as a supporting skeleton of a fractal architecture building were considered. The endostructure elements of the first iteration strengthen the exobase and the lower surface of the f-quarks of the exostructure. The endostructure of the second iteration is much more complex and voluminous than the structure of the first iteration and strengthens the upper part of the exostructure. To ensure the stability of the fractal architecture building, the framework is formed by connecting the elements of the endostructures of the first and second iteration. Based on the fractal structures’ formation analysis results, the unique building stiffness cores formed from the f-quarks exobase have been developed. The strength and rigidity of the building is ensured by the combined action of the endostructure’s elements, the exostructure’s elements and the developed stiffness cores. Comprehensive building model was implemented in ANSYS PC. According to the numerical experiments’ results, the maximum displacements, shapes and frequencies of the fractal architecture object’s natural vibrations are determined. The proposed design solutions for a complex model of a building based on a fractal structure are unique and require the use of innovative technologies and materials.
The principles of fractal geometry are applicable in the development of new designs based on fractal shaping and the evolution of fractal structures. It’s necessary to use new materials to design fractal structure. The evolution of the structure is characterized by optimization of the initial geometry in the process of iteration. Thus, the fractal structures of older generations from innovative material have the best indicators of reliability. The aim of this study is to develop new designs using the principles of fractal shaping. To reduce the weight of the elements of the building frame in parallel with the evolution of the structure, it is necessary to explore innovative materials with certain material properties. The development of fractal structures requires the creation of new technologies and materials.
Formation of parametric structure digital model are considered. Investigation was based on the analysis of the shaping evolution of the analytical surface in the form of a hyperboloid of rotation. Finite element frame represents a spatial plate-rod system has been developed during creation of the digital model. This scheme allows to study the effectiveness of constructive solutions under dynamic influence at the design stage. Dynamic characteristics of various design solutions are considered in process of choosing a rational variant of the building frame. The influence of the inclusion of outrigger floor in the model of the frame at various levels of the building are investigated. The proposed method of research and application of the possibilities of the shaping evolution allows to proceed to the modernization of BIM technologies in the design of unique buildings. Recommendations for refining the algorithm for studying parametric object digital models were developed.
On the basis of a specially developed algorithm, shaping of the fractal structures, the formation of which is regulated by the power index of the fractal, has been carried out. A sphere and an ellipsoid were used as the basic shapes. The formation analysis has made it possible to determine the characteristic principles of the fractal structure growth. The performed numerical experiment with respect to volumetric fractal structures of power 8 made it possible to determine the spectrum of frequencies and forms of natural oscillations. The offered objects of fractal architecture are analogs of unique high-rise and large-span buildings and structures. The application of the fractal shaping paradigm in combination with digital technologies and innovative materials will make it possible to create completely new objects of architecture.
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