The regulation of the stress-strain state of the floor slab is considered in order to choose the optimal design solution for the frame of a unique building. Three variants of design solutions with varying reinforcement of the plate and cross sections of the vertical elements of the frame are proposed. The numerical experiment was performed by the finite element method using the Lira-CAD software package. To improve the accuracy of the results obtained, calculations were made taking into account the nonlinear operation of materials. The computational model of the floor slab includes physically nonlinear shell finite elements. Nonlinear loading was modeled taking into account the creep of concrete. Based on the results of the calculations, the analysis of the deflections of the floor slab and the consumption of materials was performed. The numerical experiment allowed us to propose an optimal design solution for the frame of a unique building.

Keywords: stress-strain state, finite element method, unique building, physical nonlinearity, deformation law, building frame

The unique building of the Center for Science and Art is modeled as a variant of the complex development of the territory of the old hippodrome in Rostov-on-Don. The analysis of the formation of vertical external communication parametric structures for a spherical object is performed. Based on the results of the consideration of ten forms, a rational form of "Turban" was determined, which retains a constant comfortable slope, and in emergency situations can go into autonomous mode while maintaining the rigidity of the structure. Visualization of the object's integration into the urban environment was carried out in Rhino 3D using the Grasshopper visual programming language program. By combining specialized years, modeling of roads and the volumetric geometry of buildings, the object of study, zoning and reading information from the surrounding area was carried out. The resulting model allows us to evaluate the aesthetics and comfort of the urban environment in the case of construction of a new facility.

Keywords: unique buildings, modeling, parametric architecture, urban environment, grasshopper

The calculation for progressive collapse with variation and comparison of different scenarios was carried out for the frame of a unique high-rise building of a multifunctional complex. At the first stage, the calculation was performed in a quasi-static formulation, the maximum deflections for two destruction scenarios were determined. The requirements for the state of limited operability in conditions of progressive collapse are completed. At the second stage, the calculation was made in a dynamic formulation. A modal analysis of the frame was previously performed in order to determine the forms of vibrations that will correspond to the expected deformations of the structure in the event of the occurrence and development of the process of progressive collapse. It is established that the maximum deflection of the plate when calculated in a dynamic formulation is 27.6% greater than in a quasi-static one. The residual deflection after the attenuation of the oscillatory process is 4.6% less than in the static calculation. Therefore, the object of study is safe from the point of view of the possibility of an emergency situation, accompanied by partial destruction of load-bearing structures.

Keywords: parametric architecture, evolution of shaping, aerodynamics, finite element method, analytical surfaces

Two-stage modeling of a parametric architecture object of a complex parametric architecture are considered in the article. At the first stage it was analyzed the evolution of the formation of an analytical surface obtained by rotating the Lame curve in a plane perpendicular to the axis of rotation. During the investigation were considered changes in the intensity of rounding of the corners of the shape in the horizontal plane. Study of screw parametric surfaces was carried out at the second stage. New forms of a superellipse were developed to solve the problem of determining the surface of an object of parametric architecture that is resistant to aerodynamic impact. Numerical experiment with use of the finite element method in the ANSYS PC allowed to construct a new analytical surface with a different angle of twisting of floor slabs along the height of a unique building. The proposed method of research and application of the possibilities of the evolution of shaping allows to proceed to the modernization of BIM technologies in the design of unique buildings and structures.

Keywords: parametric architecture, evolution of shaping, aerodynamics, finite element method, analytical surfaces

Fractal geometry is used in the development of new designs based on the principles of fractal shaping and the study of generations of fractal structures. The structure generation is characterized by optimization of the original geometry in the process of iteration. Fractal structures of older generations have the best indicators of reliability. The aim of the study is to develop an algorithm for modeling new designs based on the principles of fractal shaping. The development of fractal structures requires the creation of new technologies and materials.

Keywords: fractal structure, generations, fractal geometry, shaping, self-developing structures, unique structures, 3D modeling

The article considers the modeling of wind impact on the objects of parametric architecture. To determine the optimal shape of the surface, the evolution of the analytical surface shaping, formed by congruent curves in parallel planes, obtained by the rotation of the reulault triangle with a plane perpendicular to the axis of rotation, is studied. Based on the results of a numerical experiment using the finite element method, the rational analytical surface of the object of parametric architecture, resistant to wind, is determined. The dynamic characteristics of the object of parametric architecture are obtained. Recommendations are given to clarify the methods of determining the wind load for buildings and structures of complex geometric shape.

Keywords: parametric architecture; wind load; modal analysis; pulsation component; building frame; finite element method

the article considers behaviour of a simply supported pre-cracked beam made of elasto-plastic material. The aim of the work is to study propagation of min-span fractures in the beam, defining of its behaviour in the local area and developing of techniques and methods to prevent further growth of a crack. There were applied vary verify methods to analyse deflections, internal forces and stress intensity factor in the area of crack propagation. Analytical and numerical calculation had been used. For numerical solution ANSYS software is used, based on finite element method. According the solutions key features and conclusions are given.

Keywords: fracture, pre-cracked beam, stress intensity factor, load-bearing capacity, elasto-plastic material, finite element method

The principles of parametric modeling and design based on the example of a buildings is studied, the architectural image of whiches are a set of spiral circular surface with circles of variable radius defined by coordinates through functions of the corresponding surfaces in the SAPPHIRE software. Alternative methods for specifying surfaces in the SAPPHIRE PC with subsequent export to the LIRA PC for engineering calculations of the frame of the building for various combinations of loads by the finite element method are presented. The object of the study is a 130-meter-high building with a hardness core in the form of a cylindrical shell of revolution. One of the most universal ways to create a surface is to specify it through a formula, because you can easily change the shape and appearance of the surface without manually editing the geometry of the model in the drawing. The development of the parametric architecture calls for the creation of new approaches to the calculation of unique buildings and structures, the improvement of software complexes that implement the finite element method, and the appearance of new varieties of finite elements with curvilinear boundaries.

Keywords: parametric architecture, surface, shape of the object, shell, curve, model, geometry, program, formula surface, helical surface

Beams are structural elements subjected to bending loads transverse to their longitudinal axis. For steel beams, which compressed flange is not laterally restrained, checking loss of overall stability is often authoritative in determining their section. In engineering practice are known various approaches to verify the assurance of the steel beam against lateral-torsional buckling. In this article the attention is focused to the methods and their characteristics, described in actual version of the European standard EN1993-1-1.

Keywords: lateral-torsional buckling, steel beams, critical bending force, FEA

The theory of fractals is applicable for creating the real objects and for constructing the independent elements of the framework or the whole structure of the building. Innovative program was developed to research the shaping of the 3D fractal. The object of the study is 3D Mandelbrot fractal. External structures of various powers of 3D fractal were modeled and researched. New terminology has been developed which can be applied to 3D fractals. The power factor shows the ratio of the work of external forces to the total external. The concept of forming 3D fractal can be used in the design of unique buildings and structures.

Keywords: fractal, fractal geometry, Mandelbrot set, volumetric fractal, fractal structure, finite element method.

The article are compared two variants of the frame of a tall building to determine the most optimal model based on the payback period of the investment project. The calculation of economic effect from the outrigger floor frame 24-storey building with underground Parking in the city of Rostov-on-don. Various models of sale of administrative and residential premises are considered and estimated.

Keywords: outrigger floor, high-rise building, investment model, profitability index, payback period, the model of sales

The paper is considered modelling the process elaboration of a pit for high-rise building in the case of dense urban area. The research is analyzed stress strain state of soil with retaning wall. The authors are developed various design solutions of the retainig wall to decrease of displacement of the nodals in soil finite element model. According the results, it has selected rational design solution of retaining wall.

Keywords: dense urban areas, retaining wall, finite element method, stress-strain state, soil massif

The article describes the basic concepts of the three-dimensional analogue of Mandelbrot set and fractal architecture. The ideas of fractal structure shaping in the process of parametric and fractal design are outlined. The algorithm for fractals visualizing in geometric forms is proposed, implemented in the program "3D fractal modeling", developed by the authors. The complex fractal structure of the three-dimensional Mandelbrot fractal is examined layer by layer and compared with the Buddhist mandalas and the architecture of the pagodas.

Keywords: fractal, fractal geometry, Mandelbrot set, volumetric fractal , three-dimensional Mandelbrot fractal modeling, fractal structure,

The paper provides summary the problems of estimating high-rise buildings to a progressive collapse. The analysis of the structure of the technique for calculating the skeleton of the building for a progressive collapse is performed. Recommendations are given on the properties of reinforced concrete carcass elements for emergency actions. An imitation simulation of the emergency response using the finite element method in calculating the building frame for progressive collapse was proposed; Modeling and investigation of the stress-strain state of individual elements of the building's frame for the effect of explosive loading; modeling and investigation of resistance to the progressive collapse of the skeleton of a high-rise building; development of constructive solutions to achieve resistance to progressive collapse.

Keywords: progressive collapse, special action, finite element method, building frame modeling, stress-strain state

In the article there are fundamental laws of digital shaping of the objects included the principles of formation of parametric structures. The main feature of approach is that creation of model is performed by setting of variable characteristics. Construction objects are designed as a unit and change of one parameter causes automatic change of the related attributes and the whole model.

Keywords: digital architecture, parametric design, dynamism, self-organization, continuous and topographical surface, Cassini's equation, mathematical algorithms, scripting method