Prism spectral devices have a spectrum-variable dispersion and therefore a nonlinear relationship between the wavelength and the position of spectral lines on the focal surface of a spectral monochromator device, which makes it difficult to calibrate such devices in terms of wavelengths and dispersion.Most often, the well-known Hartmat formula is used for graduation. However, the accuracy of its calculation is satisfactory only in a limited spectral range, and therefore the calculation is carried out on overlapping areas no wider than 200 nm with averaging in overlapping zones. Averaging gives a calibration curve (and, accordingly, a dispersion curve) with gaps at the joints. In this paper, we consider the possibility of using a single calibration for the entire spectrum region, providing smooth, continuous calibration curves. The best result is obtained by using the Hartmann formula for the entire spectral range, after which a set of deviations of the calibration points is determined. This set is interpolated by a polynomial of an arbitrarily chosen order n using the least squares method.

Keywords: monochromator, spectrum, calibration, dispersion, Hartmann formula, interpolation, polynomial

Social and pension provision are key processes in the activities of any state, and the issues of forecasting expenses for them are among the most important in the economy. The task of evaluating the effectiveness of the pension fund has been solved by various methods, including regression analysis methods. This task is particularly difficult due to the presence of a large number of factors determining the activity of the pension fund, such as: the number of recipients of old-age pensions, the number of policyholders, self-employed policyholders, recipients of benefits, insured persons and working pensioners. As the main approach to the study, the method of implementing a model competition was applied. Those variants that violated the meaningful meaning of the variables and did not fully reflect the behavior of the modeled process were excluded from the resulting set of alternative model options. The final option was selected using the multi-criteria selection method. It is revealed that the use of relative variables is important for qualitative modeling of the studied processes. The above model shows that an increase in the ratio of the number of employers and the self-employed to the number of insured persons leads to a decrease in the cost of financing social and pension provision.The model can be effectively used for short-term forecasting of the total annual volume of financing of the pension fund department in the context of changing social and macroeconomic factors.

Keywords: pension fund, regression model, model competition, adequacy criteria, forecasting

This article analyzes data processing problems for training a neural network. The first stage of model training - feature extraction - is discussed in detail. The article discusses the method of mel-frequency cepstral coefficients. The spectrum of the voice signal was plotted. By multiplying the vectors of the signal spectrum and the window function, we found the signal energy that falls into each of the analysis windows. Next, we calculated the mel-frequency cepstral coefficients. The use of a chalk scale helps in audio analysis tasks and is used in training neural networks when working with speech. The use of mel-cepstral coefficients significantly improved the quality of recognition due to the fact that it made it possible to see the most informative coefficients. These coefficients have already been used as input to the neural network. The method with mel-frequency cepstral coefficients made it possible to reduce the input data for training, increase productivity, and improve recognition clarity.

Keywords: machine learning, data preprocessing, audio analysis, mel-cepstral coefficients, feature extraction, voice signal spectrum, Fourier transform, Hann window, discrete cosine transform, short Fourier transform

This article describes the first stage of the research work on the development of an FPGA-based camera for vehicle identification tasks, which are widely used in automated weight and size control points. Since the FPGA is an alternative to conventional processors, which features the ability to perform multiple tasks in parallel, an FPGA-equipped camera will be able to perform the functions of detecting and identifying vehicles at the same time.Thus, the camera will not only transmit the image, but also transmit the result of processing for problem-oriented control systems, decision-making and optimization of data flow processing, after which the server will only need to confirm or deny the results of the camera, which will significantly reduce the image processing time from all automated points of weight and size control.In the course of development, a simple VGA port board, a static image program for displaying it on a monitor in 640x480 resolution, and a pixel counter program were implemented. EP4CE6E22C8 is used as FPGA, the power of which is more than enough to achieve the result.

Keywords: system analysis methods, optimization, FPGA, VGA adapter, Verilog, recognition camera, board design, information processing, statistics

The article considers the information modeling of the building frame of a complex shape in the plan. The Dynamo program for Autodesk Revit is used to build the geometry. The main goal was to achieve uniform color pressure maps when blowing a building using simulation modeling in an Autodesk CFD PC. The research method is numerical (finite element method). The LIRA-CAD software package was used. The finite element method was used to select the shape of the building and adjust its design scheme to achieve reliability and efficiency. The analysis of the structural elements of the object on the effect of wind loads, taking into account the pulsation component of the wind load, is carried out in order to improve the design decisions made.

Keywords: information modeling, finite element method, building frame, node system, modal analysis, waveforms

The article discusses the existing methods for calculating the strength of a normal section in multilayer bending structures. The experience of Russian and foreign researchers was analyzed, the approaches described in domestic and foreign regulatory documents were compared, and key differences were identified. At the same time, special attention is paid to the mathematical description of the work of concrete as a material. It was concluded that further research is expedient to find the most optimal method for calculating multilayer structures.

Keywords: concrete, reinforced concrete, multilayer structures, calculation method, bending element, normal section, stresses, high-strength concrete, stress diagram, description of concrete work, bending moment, neutral axis

The choice of equipment of technological enterprises, especially when the characteristics of the equipment are close in values, remains an urgent task. In our work, to evaluate the effectiveness of programmable logic controllers (PLCs), a comprehensive criterion for evaluating efficiency is proposed, as well as a method for calculating it using numerical methods. To calculate the complex efficiency criterion, the values of the significant characteristics of the controllers selected by us are converted into points on a linear scale. To refine the calculation results, we applied one of the Newton-Cotes numerical methods, namely the trapezoid method. Next, we used the method of cubic interpolation of the obtained curves to increase the accuracy of calculations. The proposed method is simple and does not require a lot of calculations. At the same time, its application makes it possible to calculate complex PLC efficiency criteria based on characteristics relevant to a particular control process.

Keywords: programmable logic controller, characteristics, numerical methods, trapezoid method, cubic interpolation method, aggregation of characteristics, ABAK PLC, Siemens PLC, OWEN PLC

From the preservation of historical character to the introduction of environmental practices and the promotion of cultural adaptation, these methods together rethink the sustainable evolution of industrial buildings, illustrating their global prevalence and profound impact on the creation of functional, culturally resonant and visually attractive public spaces.

Keywords: renovation of an industrial building, sustainable architecture, reconstruction, energy conservation, energy efficiency, environmental friendliness, green architecture, eco-friendly design, architectural and environmental renovation

Capital construction projects include buildings and structures whose construction has not been completed. Currently, in the construction market, software developers offer more than 160 variants of construction information models (hereinafter BIM-model) for a complex cycle of building construction systems. BIM in design is not only a tool that supports modern technologies for investment and implementation of construction projects. Using BIM technology that analyzes the schedule of disbursement of funds and deadlines for the current dates, it is more convenient to control investment projects. It becomes possible to carry out electronic document management at all stages of the project cycle, launch digital construction control, add and adjust model attributes.

Keywords: information model, terms of reference, capital construction object, organizational and technological solution, BIM model, model element, monolithic structure, construction project implementation

The paper proposes mathematical models that make it possible to describe the electrical conductivity of a nanocomposite based on carbon nanotubes, taking into account the waviness effect and the dispersion index. The model takes into account the contribution of various parameters, such as the concentration of nanotubes, the length, diameter and orientation of the tubes, as well as the electrical properties of the nanocomposite matrix. Using the proposed model, numerical experiments were carried out to evaluate the effects of waviness and dispersion index on the electrical conductivity of the nanocomposite. Comparisons of model data with experimental data are presented, confirming the adequacy and accuracy of the model. The results obtained can be used to optimize the process of creating nanocomposites based on carbon nanoturbines, as well as to increase the efficiency of their use in various fields, including electronics and energy.

Keywords: mathematical modeling, software package, nanocomposites, electrical conductivity, carbon nanotubes, computational experiment

This article discusses the comparative calculation of solid-stage and three-layer tubular structures with an assessment of the reliability of their application. To do this, their stress-strain state is investigated when exposed to a pulsed load on the wall. Pipeline structures currently occupy important positions in the infrastructures of many countries. Every year new safety requirements are added to the reliability indicators of these structures. Such important strategic facilities fulfill the task of providing people with energy, without which it is difficult to imagine modern life. For a solid-stage pipe, displacements in the nodes of the pipe wall, as well as longitudinal stresses (Nx) and annular stresses (Ny) in the elements of the pipe wall are determined. In a three-layer pipe, the displacements are determined at the nodes of the pipe wall.

Keywords: three-layer tubular structure, solid-walled pipe, load-bearing layer, pulse load, filler, displacement, voltage

The article discusses a graphical notation using three-dimensional visualization for representing models of automated systems according to the Methodology of Automation of Intellectual Labor (MAIL). The research aims to enhance the efficiency of modeling automated systems by providing a more comprehensive representation of the models. Research methods employed include a systems approach. The study results in the formulation of descriptions and rules for creating the corresponding graphical notation for the initial and conceptual modeling stages of subject tasks in MAIL, as well as rules for forming representations for static and dynamic model structures and representing their interrelations. Additionally, rules for visually highlighting and concealing elements within the diagrams of the graphical notation are examined, rendering it suitable for implementation as a software module with a graphical interface for CASE tools, facilitating modeling according to MAIL. Such an approach enables the visualization of the model as a whole and enhances the efficiency of analysts conducting modeling following the methodology.

Keywords: methodology of Automation of Intellectual Labor, modeling of automated systems, conceptual modeling, graphical notation, three-dimensional visualization

Methods of computer formation of the equations of motion of multibody systems with a tree structure and algorithms for their reduction to the normal form of ordinary differential equations are considered. The equations of motion are written using Hamilton's formalism for an extended set of state variables of a mechanical system. The equations are presented in a compact visual form. Recursive formulas for determining all coefficients of equations are written out. Algorithms for reducing these equations to Hamilton equations in generalized coordinates and generalized momenta are presented. An algorithm for solving the obtained equations of motion for multibody systems using the LTDL-elimination is presented. Formulas are written that allow one to calculate the amount of arithmetic operations required to bring the equations of motion to normal form using the considered algorithms. On the basis of these formulas, a comparative analysis of the efficiency of algorithms for rigid bodies systems of various structures and with various types of connections between bodies is carried out. The results of the analysis are presented in the form of diagrams. The diagrams highlight areas in which the advantage of one or another method is manifested, depending on the type of mechanical system.

Keywords: multibody systems, equations of motion, dynamics, canonical momenta, mathematical modeling, computational efficiency

The article presents the prerequisites for the relevance of the processing and disposal of galvanic sludge generated from industrial enterprises, which in turn occupies numerous areas of land for storage, which harms the environment. An overview of the methods of processing and disposal of electroplating waste, including physical, chemical and biological processes. Experimental studies of galvanic sludge sediment are presented. The precipitate is a mixture of crystalline CaCO3, SiO2 and an amorphous phase, which is not determined by phase analysis. Modern advanced technologies for the processing and disposal of galvanic sludge are presented.

Keywords: galvanic sludge waste, automation, control, methods, sediment thermogram

The reconfigurable systems-on-a-chip (RSoC) includes hard and soft intellectual property cores (IP-cores). Hard IP-cores are placed on the specified positions on the chip and have a predetermined functionality. Soft IP-cores are developed using the logical blocks (LB) of a field programmable gate array (FPGA) on the RSoC. Both types of IP-cores have different features. Hard IP-cores have configurations that can be programmed. Soft IP-cores use the base RSoC specialized resources. All IP-cores features must be considered at various stages of the design flow of user circuits based on the RSoC. Any modes of the RSoC IP-cores should be extracted from the functional description of the user circuit during logical synthesis. The features of the base chip architecture and specialized routing resources must be considered during placement and routing. In this paper, a software-oriented set-theoretic model of IP-cores is presented. The model makes it possible to represent IP-cores in computer-aided design (CAD) system at different stages of design flow of user circuit based on RSoC and to map architecture-independent IP-cores of a user circuit to IP-cores on the base chip. The model combines formalized representations of the base chip components, architecture-independent and architecture-dependent parameterized IP-cores for the logical synthesis, as well as IP-cores for the layout synthesis. Also, the model has several distinctive features. The first feature is the availability of the relative coordinates of the soft IP-cores elements. These coordinates allow to take into account the RSoC architectural features at the placement stage. The second feature is that an information about specialized routing resources and interconnections of the user and base circuits. This information allows to establish a correspondence between IP-core and RSoC connections regardless of the routing resources type.

Keywords: reconfigurable system-on-a-chip, intellectual property core, field programmable gate array, computer-aided design system, set-theoretic model, formalization