Two capacitive methods of measuring the linear density of one-dimensional fibrous products are considered. The sensitivity of the measurement results to variations in the geometric and physical parameters of the measuring device for the differential and resonance measurement methods is estimated. A weak, almost linear dependence of the measurement error on parameter variations in a wide variation range is established. The good suitability of both methods for measuring the linear density of one-dimensional products by the capacitive method and the high correlation between the measured value and the measurement results are substantiated.

Keywords: fibrous materials, one-dimensional products, linear density, capacitive measurement method, capacitive method, differential circuit, resonant measurement circuit, parameter variations

Increasing the accuracy of steady-state calculation is possible by taking into account the thermal processes occurring in electrical energy conductors. The wind flow velocity, in turn, is of significant importance in determining the conductor temperature. In this paper, the values of wind speed for an 11-year period are considered. The time series is analyzed and the prediction models of the target variable are tested and the prediction results are compared.

Keywords: power grid mode calculation, thermal processes, wind flow velocity, prediction models, feed forward neural network, ensemble methods

The paper considers the issue of using a computer vision system to control the quality of products in the control algorithm of a mechatronic sorting station. Shoe products are chosen as an example. The developed system is based on machine learning methods for image recognition by segmentation. As a result, a neural network model was created, and a program was written for identifying and selecting objects using a camera for subsequent sorting of defective products. The program contains three modules: initialization for declaring all variables, models, classes, video stream from the camera; the main module, containing an internal loop for each segmented object; a subroutine for completing the work. The introduction of computer vision into the control algorithm increases the efficiency and flexibility of the quality control system, and improves the accuracy of measuring the parameters of objects for their subsequent sorting.

Keywords: mechatronic station, sorting, computer vision, image segmentation, neural network training, control algorithm

In this work, we present the development and analysis of a feature model for dynamic handwritten signature recognition to improve its effectiveness. The feature model is based on the extraction of both global features (signature length, average angle between signature vectors, range of dynamic characteristics, proportionality coefficient, average input speed) and local features (pen coordinates, pressure, azimuth, and tilt angle). We utilized the method of potentials to generate a signature template that accounts for variations in writing style. Experimental evaluation was conducted using the MCYT_Signature_100 signature database, which contains 2500 genuine and 2500 forged samples. We determined optimal compactness values for each feature, enabling us to accommodate signature writing variability and enhance recognition accuracy. The obtained results confirm the effectiveness of the proposed feature model and its potential for biometric authentication systems, presenting practical interest for information security specialists.

Keywords: dynamic handwritten signature, signature recognition, biometric authentication, feature model, potential method, MCYT_Signature_100, FRR, FAR

During the research, a new prestressing system was developed for carbon fiber reinforced polymer plates to reinforce damaged steel beams. A parametric analysis was performed using finite element modeling. The results showed that satisfactory amplification efficiency can be achieved using the new pre-voltage system. The prestressed carbon fiber significantly increased the performance when bending beams at the elastic and elastic-plastic stages due to the use of high-strength carbon fiber plates. In addition, as the pre-voltage level increased, the amplification efficiency increased. A simple increase in the area or modulus of elasticity of the carbon fiber plate slightly improved the hardening efficiency, while the simultaneous application of prestressing clearly increases the hardening efficiency.

Keywords: reinforcement, steel beam, prestressing, new system, carbon fiber plate

The article focuses on methods for reducing high inductance in power supply circuits using one of the IC substrate topologies with a high-speed interface as an example. The interface in question operates at a speed of 28.25 Gbit/s and imposes strict requirements on the parameters of the power supply inductance. The presented solutions are aimed at ensuring low values ​​of power supply inductance in conditions of high layout density and power integrity requirements for modern data transfer interfaces.

Keywords: power supply inductor, power system, low noise power supply, power supply impedance, analog power supply, serial interface, high speed interface, organic substrate, IC packaging

The presented article reveals the issue of using waste from the automotive industry of rubber products as one of the possible ways to improve the quality of asphalt pavement and, accordingly, reduce the number of repair activities and material costs for their implementation and increase the service life of the roadway. The tests carried out show that the asphalt-concrete mixture using a modifier based on active rubber powder demonstrates the best mechanical and operational characteristics. The strength and elasticity of asphalt concrete increases, as well as the abrasion resistance decreases, which leads to a longer use time of this web. Such changes in the characteristics of the roadway have a positive effect on the economic side of the issue. Improving the quality of the finished product increases the time intervals between repair actions, which reduces material and resource costs. The adhesion of the road to the rubber of cars is improved.

Keywords: asphalt concrete, asphalt mix, automobile waste, rubber crumb, modifier, active rubber powder

The article considers a robotic control system for implementing the S-shaped movement of a snake robot, and evaluates the specifics of its use on a physical prototype. Since the snake robot is a complex composite structure, the assessment and assignment of a certain type of movement becomes one of the primary tasks in the development of this control system. The simulation model of the snake robot is implemented using mathematical modeling in the Russian software REPEAT. As a result of the simulation, it was found that the developed control system ensures the operability of the robotic system, ensures the accuracy of movement and adaptability to changing external conditions.

Keywords: mathematical modeling, simulation model, REPEAT, snake robot, wave motion control system, torque variation

The paper proposes a method for calculating the area of a flat area from a photograph based on the use of mathematical analysis methods. To calculate the area, a curved integral of the second kind is used along a closed contour bounding the area under consideration. Defining the boundary in the form of a Bezier spline reduces the calculation of a curved integral to the calculation of several definite integrals from the Bernstein basis polynomials. An explicit form is obtained for integrals of Bernstein basis polynomials. For a third-order Bezier spline, a formula is derived for calculating the area of the area in terms of the coordinates of the reference points of the Bezier curves.

Keywords: cubic spline, Bernstein basis polynomials. Bezier curve, Bezier spline, Green's formula, beta function, gamma function

Diagnosing the technical condition of complex objects and planning repair-restoration work is a pressing challenge in today’s economy. This paper presents an approach to solving this problem using an integral indicator developed by the authors: the Modified Technical Condition Index. A conceptual model for a continuous (cyclical) monitoring system of this integral indicator’s levels is proposed. To assess an object’s technical condition, a linguistic scale is introduced, which generates recommendations for repair-restoration actions. Additionally, a resource-constrained planning system for repair-restoration work is developed. The novelty of this work lies in the proposed methodology for creating an evaluative linguistic scale based on the integral indicator. This scale enables qualitative assessment of an object’s condition and provides actionable recommendations for repair-restoration efforts. The paper also addresses resource-constrained planning of repair-restoration work using the Modified Technical Condition Index for complex technical objects.

Keywords: express diagnostics, planning repair-restoration work, integral technical condition indicator, conceptual model of continuous (cyclical) monitoring, technical condition level assessment, technical condition quality evaluation, linguistic scale

The article describes the methodology for constructing a regression model of occupancy of paid parking zones taking into account the uneven distribution of sessions during the day and the behavioral characteristics of two groups of clients - the regression model consists of two equations that take into account the characteristics of each group. In addition, the process of creating a data model, collecting, processing and analyzing data, distribution of occupancy during the day is described. Also, the methodology for modeling a phenomenon whose distribution has the shape of a bell and depends on the time of day is given. The results can be used by commercial enterprises managing parking lots and city administrations, researchers when modeling similar indicators that demonstrate a normal distribution characteristic of many natural processes (customer flow in bank branches, replenishment and / or withdrawal of funds during the life of replenished deposits, etc.).

Keywords: paid parking, occupancy, regression model, customer behavior, behavioral segmentation, model robustness, model, forecast, parking management, distribution

The article proposes an approach to automate the detection of polishing defects in blades using luminescent testing (LUM). Instead of manual visual inspection, a system was developed that utilizes a deep learning neural network for defect segmentation on images and a robotic setup for precise positioning of the camera and the blank. This ensures the repeatability of the inspection. The relevance is driven by the industry's need for high-precision and reliable real-time quality control methods. The mathematical model of the process, software architecture, hardware components, and the data collection process for neural network training are described. The results of applying the system for defect detection are presented. The development optimizes polishing processes.

Keywords: industrial blade polishing, intelligent video analytics, robotic optical scheme, mathematical model of technological process, Lum control

within the framework of the conducted research, the task of controlling a robot of a parallel structure was considered. This paper presents a model of a 3-RPR type flat parallel robot in the Matlab package, developed for conducting computational experiments. Implementation of two types motion trajectories have been simulated in order to determine the optimal structure of the position regulators of the drive joint used in the robot control system. Six structure of regulators were compared: three classical ones: PD, PID, PDD and three of their fractional-degree analogues: FOPD, FOPID, FOPDD. The FOMCON tool was used to model fractional-degree regulators. The best results for type 3-PPR robot were shown by a control system with a FOPID regulator, which indicates the expediency of using fractional-degree regulators to control parallel robots.

Keywords: parallel robot, inverse kinematics problem, 3-RPR robot, computational experiment, working out the trajectory of movement, control system accuracy, fractional-degree regulator, parametric optimization of the regulator, comparative modeling, FOMCON tool

The article is devoted to the issues of solving modern problems of development of the residential environment of new districts. The aim of the study was to create a proposal capable of providing a high-quality residential environment that positively influences the social microclimate and visual culture through people's perception of urbanized spaces using the aesthetics of classical architecture. It is substantiated that the greatest value for city residents is possessed by historical quarters of central zones formed in Russia from buildings with a characteristic classical order architectural form-building. New residential areas are often formed according to the principles of ghetto, with a priority focus on reducing the cost of investments in the construction of the facility and maximizing the developer's profit, which creates a stable trend towards social deprivation, the consequence of which are depressive psychological disorders and a decrease in the physical health of residents, stagnation and degradation of such territories in the future. An approach is proposed that allows minimizing the costs of constructing residential complexes using classical order architecture using modern additive technologies that can facilitate the implementation of decorative elements. This approach allows us to reveal a new stage in the development of order architecture, which will ensure historical cultural continuity and harmonization of the environment of new residential complexes, due to the properties of classical form-building.

Keywords: classical architecture, architectural order, residential complexes, classical form-building, aesthetics of the urban environment

A review of various approaches used to model the contact interaction between the grinding wheel grain and the surface layer of the workpiece during grinding is presented. In addition, the influence of material properties, grinding parameters and grain morphology on the contact process is studied.

Keywords: grinding, grain, contact zone, modeling, grinding wheel, indenter, micro cutting, cutting depth