Engineering

QUALIMETRIC ASSESSMENT OF THE PERFORMANCE QUALITY OF A NUCLEAR POWER PLANT UNIT BASED ON A RISK-ORIENTED APPROACH

2026-06-11T10:32:23+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-01

The article is devoted to the relevant scientific and practical problem of developing and substantiating a methodological approach to the comprehensive assessment of the performance quality of nuclear power plant (NPP) units. In the context of increasing nuclear safety requirements and the need to extend the service life of power equipment, traditional methods based on isolated technical and economic indicators prove insufficient for an adequate representation of the state of complex technical systems. The authors propose an integration of qualimetric analysis methods with the principles of a risk-oriented approach, which allows not only for recording the current parameters of the system but also for considering potential threats and the synergistic effects of their interaction. The study provides a critical analysis of scientific approaches to ensuring NPP operational safety in Ukraine and global experience in applying multi-criteria decision analysis (MCDA) in the energy sector. It was identified that the key issue is the lack of a unified methodology that combines quantitative technical parameters with qualitative characteristics, such as safety culture or organizational efficiency. Based on a systems approach, a multi-level system of 49 indicators has been formed, structured into seven categories: technical, economic, social, organizational, ethical, informational, and environmental. A distinctive feature of the system is its adaptability to internal (modernization, personnel) and external (cyber threats, regulatory changes) factors. The methodological part of the research describes the process of determining the weights of indicators using expert groups and statistical methods. To increase the objectivity of the assessments, the use of median values and mode is proposed, which allows for neutralizing the influence of anomalous expert opinions. A significant scientific result is the application of a graph-based approach for modeling the interrelationships between indicators. The constructed directed graph model and adjacency matrix allow for the identification of "node" parameters, the change of which causes a cascading impact on the safety of the entire power unit. The interpretation of the modeling results indicates that the performance quality of an NPP is a functional dependence on the current state and the aggregate of associated risks. The proposed approach provides a scientific basis for making informed management decisions regarding equipment modernization and operational resource management, taking into account the non-linear nature of factor interaction in high-hazard systems.

METHODS FOR EVALUATING AND ENSURING THE METROLOGICAL RELIABILITY OF INFORMATION AND MEASUREMENT SYSTEMS

2026-06-11T10:32:29+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-02

This article examines modern methods for evaluating and ensuring the metrological reliability of information and measurement systems. The relevance of this topic stems from the widespread use of information and measurement systems in many industrial and manufacturing sectors, with particular emphasis placed on ensuring a high level of their metrological reliability.

The aim of this study is to implement methods for assessing and improving metrological life, as the primary indicator of the metrological reliability of information and measurement systems during their design and operation phases. The task of assessing the metrological reliability of information and measurement systems is solved using an analytical-probabilistic forecasting method, which includes mathematical modeling of the process of changes over time in the metrological characteristics of information measurement systems over time, as well as statistical modeling that accounts for the influence of external destructive environmental factors. The task of improving the metrological reliability of information and measurement systems is solved by introducing a metrological control subsystem into their structure.

This paper provides a detailed description of all stages of mathematical modeling involved in implementing a method for assessing the metrological reliability of information and measurement systems, and proposes an optimal structure for such systems, including a metrological control subsystem with a function for automatic correction of measurement results. The element base on which the metrological control and measurement result correction subsystem is optimally implemented is proposed and described in detail.

The results obtained can be used in the design, modernization, and operation of information and measurement systems to ensure a high level of accuracy, reliability, and efficiency in their operation.

FESTO LABORATORY EQUIPMENT AS A TOOL FOR EXPERIMENTAL MODELING OF ELECTRICAL SYSTEMS OF NPP POWER UNITS

2026-06-11T10:32:32+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-03

The article explores the possibilities of using Festo laboratory equipment for experimental modeling and analysis of electrical systems of nuclear power plants with VVER-1000 reactors. The relevance of the work is due to the need to increase the reliability and stability of the operation of the power units' own needs systems, which ensure the continuous operation of automated electric drive systems of pumping equipment, heat removal systems, core cooling and safety systems. Power supply disruptions or deviations in electrical energy parameters can lead to a decrease in the efficiency of the functioning of technological equipment and create potential threats to the safe operation of the power unit.

The paper proposes an experimental and analytical approach to the study of electromechanical processes in automated electric drive systems, taking into account dynamic characteristics, load nonlinearity and the influence of transient and emergency modes. A mathematical model of an asynchronous automated electric drive of a pumping unit has been developed, which is based on the equations of electromechanical equilibrium, the dependence of power consumption on the speed of rotation, as well as the analysis of active power in alternating current circuits. Particular attention is paid to taking into account the inertial properties of the mechanical system and the influence of changes in the supply voltage on the electromagnetic moment and the stability of the drive.

Experimental studies were conducted on the Festo laboratory stand, which allowed to simulate normal, transient and emergency operating modes, in particular voltage sag, overload and loss of external power supply. During the experiment, the dependences between the supply voltage, the speed of rotation of the electric motor and the consumed power were obtained, which confirm the adequacy of the constructed theoretical models and their suitability for describing real processes in systems of own needs. An assessment of measurement errors was performed, which allowed to establish their permissible level and confirm the reliability of the results obtained.

It is shown that the use of Festo laboratory complexes allows to effectively reproduce critical operating modes of electrical systems typical of VVER-1000 type power units, including power failure scenarios and dynamic transient processes. This is important for increasing the level of safety, reliability and efficiency of operation of nuclear power plants. The results obtained can be used in the educational process of training engineering personnel, in conducting scientific research, as well as for simulation modeling of emergency situations in energy systems.

RESEARCH OF QUANTITATIVE AND QUALITATIVE PARAMETERS OF THE SOLAR CELL MODEL

2026-06-11T10:32:36+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-04

The article provides a comprehensive analysis of modern models of solar cells that describe their electrophysical characteristics and internal processes of converting solar energy into electricity. The approaches to mathematical modeling of photovoltaic converters are summarized, taking into account their structural and material features and physical mechanisms of generation and recombination of charge carriers.

The dependence of the main photovoltaic parameters of solar cells on the influence of external and internal factors, in particular temperature, intensity and spectral composition of solar radiation, is studied. It is established that an increase in temperature leads to the degradation of key operational characteristics, in particular the efficiency, open circuit voltage, fill factor and current-voltage characteristics. It is substantiated that these changes are due to variations in the bandgap width, an increase in the level of recombination processes and a decrease in the mobility of charge carriers in semiconductor materials.

An improved method for calculating the main electrophysical parameters of solar cells, in particular the short-circuit current and open-circuit voltage, has been developed, which is based on taking into account the multilayer structure of materials, their physicochemical properties and operating conditions. The proposed approach allows to increase the accuracy of determining the output power, efficiency and stability of the current-voltage characteristics in real operating conditions.

Particular attention is paid to the analysis of the influence of changes in illumination, including variations in the intensity and spectral composition of solar radiation, which significantly affect the generation of photocurrent and the formation of output electrical parameters. It is shown that dynamic changes in lighting conditions during the day or in conditions of unstable radiation cause nonlinear changes in the characteristics of solar cells, which must be taken into account when modeling and operating them.

The need for further improvement of existing models of solar cells by integrating temperature, spectral and structural factors is justified, which will ensure increased reliability of calculations and efficiency of functioning of photovoltaic systems in real operating conditions.

STATISTICAL NORMALIZATION OF VIBRATION VELOCITY IN GAS COMPRESSOR UNITS BASED ON OPERATIONAL DATA ANALYSIS

2026-06-11T10:32:39+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-05

This paper presents a novel approach to the normalization of overall vibration velocity levels in gas compressor units (GCUs) based on large‑scale statistical analysis of operational data. Unlike traditional methods relying on fixed regulatory limits or empirical recommendations from international standards, the proposed methodology applies the Neyman-Pearson criterion to determine an optimal vibration threshold that minimizes the probability of incorrect diagnostic decisions.

Mathematical models of vibration velocity distribution are developed, incorporating both harmonic components and broadband noise. It is shown that, under real operating conditions, the vibration process can be effectively represented as a combination of Rayleigh distributions with different variances. Using experimental data from a fleet of 310 GCU‑10 units, statistical parameters of vibration velocity were obtained, and threshold values were calculated using two approaches: the second‑order moment of the distribution and the classical “three‑sigma” rule.

The results demonstrate that existing vibration standards significantly exceed statistically justified limits, which may reduce equipment lifetime and increase the risk of failures. The proposed approach enables the development of scientifically grounded vibration norms for specific measurement points and enhances operational reliability without additional maintenance costs.

ANALYSIS OF QUALITY INDICATORS OF THERMAL INSULATION MATERIALS AND METHODS FOR THEIR IMPROVEMENT

2026-06-11T10:32:41+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-06

The article examines modern approaches to assessing the quality of thermal insulation materials used in the enclosing structures of buildings and civil engineering works. It is shown that, under increasing requirements for energy efficiency, durability, fire safety, and environmental performance, thermal insulation should be assessed not only by its thermal conductivity coefficient, but also by a set of interrelated indicators. The key quality indicators include thermal conductivity, thermal resistance, density, water absorption, vapor permeability, compressive strength, stability of properties over time, fire resistance, environmental friendliness, and manufacturability. The expediency of using a comprehensive quality indicator is substantiated, since it makes it possible to simultaneously take several criteria into account and ensures a more accurate comparison of traditional and innovative thermal insulation materials.

Modern scientific publications devoted to conventional insulation materials, bio-based fibrous materials, aerogels, vacuum insulation panels, waste-based composites, as well as phase-change materials, are analyzed. It has been established that improving the quality of thermal insulation materials is achieved through three main groups of methods: modification of the material structure, introduction of functional additives, and improvement of design and technological solutions. The most effective methods include controlling porosity and pore size, hydrophobization, flame-retardant modification, fiber reinforcement, the use of aerogel and vacuum components, and the formation of multilayer and hybrid systems.

It is shown that each method has not only advantages but also limitations. For example, reducing thermal conductivity is often accompanied by a decrease in mechanical strength, while improving moisture resistance may complicate vapor exchange. A system for the formalized description of individual and comprehensive quality indicators is proposed, which can be applied to the comparative analysis of thermal insulation materials at the stages of design, selection, and operation. The results of the study can be used in the development of new thermal insulation composites, in the selection of effective insulation materials for energy-efficient buildings, and in improving methods for the multicriteria assessment of their operational suitability.

ANALYSIS OF THE IMPACT OF QUALITY INDICATORS ON THE OPERATIONAL EFFICIENCY OF POWER PLANT ENERGY EQUIPMENT

2026-06-11T10:32:47+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-07

The article examines the influence of quality indicators of the main power plant energy equipment on the efficiency of electric and thermal energy production. It is shown that under current conditions of limited flexible generation capacity, aging power units, and increasing requirements for fuel economy, environmental safety, and operational flexibility, the assessment of energy equipment quality extends beyond the traditional analysis of nominal efficiency alone. For turbines, boilers, condensers, generators, control systems, and cooling systems, not only energy-related characteristics but also reliability, operational, lifetime, and maintenance characteristics become decisive. It is substantiated that the operational efficiency of energy equipment is formed under the influence of a set of interrelated indicators, including efficiency, specific fuel consumption, reliability, availability, capacity factor, the level of losses in auxiliary systems, thermodynamic perfection, and the stability of parameters over time.

Modern studies devoted to steam turbine degradation, combustion optimization in boilers, the effect of excess air on efficiency, the exergetic distribution of losses among the main units of thermal power plants, increasing the efficiency of turbine installations under variable operating modes, improving turbogenerator cooling systems, as well as issues of equipment reliability and safe operation, are analyzed. It has been established that individual quality indicators have a quantitatively significant influence on operating performance. In particular, long-term degradation of steam turbines may cause a power loss at the level of (2-7,5)%; an increase in excess air in the boiler from 10% to 70% leads to a decrease in energy and exergetic efficiency by approximately 5%; the integration of thermal energy storage systems and the improvement of operating modes can increase maneuverability by 3-4 times and improve the profitability of a power plant. For certain turbine units, rationalization of the reheated steam temperature provided an increase in efficiency of (0,3-1,5)% and a reduction in specific equivalent fuel consumption by (3-4) g standard fuel/kWh.

A system of individual quality indicators of power equipment and a comprehensive quality indicator suitable for multicriteria assessment is proposed. It is shown that the greatest impact on the integrated efficiency of power plants is exerted by the quality indicators of turbine, boiler, and condensing equipment, as well as the reliability of generators and auxiliary systems. The results can be used in technical diagnostics, modernization, optimization of operating modes, and substantiation of priorities for repair and reconstruction of power plant energy equipment.

ANALYSIS OF THE IMPACT OF QUALITY INDICATORS ON THE OPERATIONAL EFFICIENCY OF POWER PLANT ENERGY EQUIPMENT

2026-06-11T10:32:55+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-08

Modern studies devoted to steam turbine degradation, combustion optimization in boilers, the effect of excess air on efficiency, the exergetic distribution of losses among the main units of thermal power plants, increasing the efficiency of turbine installations under variable operating modes, improving turbogenerator cooling systems, as well as issues of equipment reliability and safe operation, are analyzed. It has been established that individual quality indicators have a quantitatively significant influence on operating performance. In particular, long-term degradation of steam turbines may cause a power loss at the level of (2–7,5)%; an increase in excess air in the boiler from 10% to 70% leads to a decrease in energy and exergetic efficiency by approximately 5%; the integration of thermal energy storage systems and the improvement of operating modes can increase maneuverability by 3–4 times and improve the profitability of a power plant. For certain turbine units, rationalization of the reheated steam temperature provided an increase in efficiency of (0,3–1,5)% and a reduction in specific equivalent fuel consumption by (3–4) g standard fuel/kWh.

FEATURES OF GRINDING OF BLANKS FROM CEMENTED STEEL

2026-06-11T10:33:00+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-09

The use of grinding as a final operation in the manufacture of parts from hardened steel cemented blanks is preferable compared to other methods of mechanical processing. It is well known that this processing method provides high wear resistance and accuracy of ground surfaces with highly cost-effective process productivity and cost-effectiveness due to the replacement of high-temperature hardening with continuous hardening and reducing the cost of performing other chemical-thermal treatment processes similar in purpose (nitriding, cyanidation, etc.).

However, the grinding process of hardened cemented steels has not been studied in sufficient depth. A number of researchers note that the wear of abrasive wheels when grinding cemented workpieces is significantly greater compared to the processing of high-carbon steel workpieces of the same hardness, and therefore, lower productivity is provided when removing the same allowances. Obviously, this is due to differences in the structure of the surface layer due to the presence of chromium, molybdenum, nickel and other alloying elements, which increases the thermophysical stress of the grinding process. Particularly poorly studied are the aspects of the influence on the processing performance of the heterogeneity of the physical and mechanical properties of the core and the surface layer of the workpieces, the degree of warping and scorching during heat treatment and grinding.

The article is devoted to the analysis of the features of the grinding process of parts made of cemented steels and the relationship between the main quality indicators and operational characteristics. The conducted research emphasizes the relevance of using grinding as a finishing operation to achieve high wear resistance and surface accuracy, despite the insufficient study of the process for cemented steels, which have increased abrasive wear resistance of the surface layer.

The key parameters that affect the durability of parts are considered, in particular, roughness, waviness, macrogeometry and microhardness of the surface layer.

Changes in the structure of the surface layer (austenite transformation into martensite, "self-hardening effect") under the influence of high temperatures and deformations that occur during grinding are studied.

Existing mathematical and empirical models of abrasive grain and the working surface of a grinding wheel (GW) are analyzed, describing the influence of geometric parameters and processing modes on the surface quality.

MATHEMATICAL MODEL OF THE ELECTRO-HYDRAULIC DRIVE OF THE WORKING EQUIPMENT OF A WHEEL LOADER FOR AN INFORMATION AND CONTROL SYSTEM

2026-06-11T10:33:04+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-10

The control of a wheel loader’s working equipment is characterized by a significant number of uncertainties arising from variable interaction conditions between the bucket and the material, internal leaks in the hydraulic system, compressibility of the working fluid, as well as the influence of external loads and variations in the parameters of the actuator components during operation. These uncertainties complicate the development of adequate mathematical models and reduce the efficiency of the automatic control system for the working equipment, since the model fails to reflect the actual system dynamics accurately.

The aim of this study is to improve the efficiency of wheel loader working equipment control by developing a mathematical model of the electro-hydraulic actuator that is suitable for implementation in the machine’s information and control system. The study employs methods of mathematical modelling of dynamic systems and linearization of nonlinear equations, with the resulting model represented in state space. The model was developed based on the structure of the electrohydraulic actuator control system, accounting for the principal physical processes in the actuator.

A linearized mathematical model of the electro-hydraulic actuator was obtained and represented in state space as a system of six first-order differential equations. The simulation results in MATLAB/Simulink are in good agreement with the physical processes in the electro-hydraulic actuator of the wheel loader’s working equipment and confirm the adequacy of the proposed model.

The developed model can serve as a basis for designing information and control systems for wheel loaders and other construction machinery, enabling effective real-time control of the working equipment under conditions of uncertainty.

COMPARATIVE STUDY OF THE SUPPORT INTERACTION CHARACTERISTICS OF SUMMER AND WINTER PNEUMATIC TIRES OF SIZE 225/55 R18 DEPENDING ON INTERNAL PRESSURE

2026-06-11T10:33:07+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-11

Optimization of the interaction between a pneumatic tire and the supporting surface is one of the key conditions for ensuring the efficiency, stability, and safety of vehicle operation. Under modern operating conditions, where vehicles are frequently used on both paved roads and weak or unstable surfaces, the need for a scientifically grounded approach to regulating internal tire pressure is increasing.

Within this study, a comparison was carried out between the relationship of internal pressure in summer Michelin Primacy 3 tires and winter Triangle Snowlink PL01 tires of size 225/55 R18, and the magnitude of the contact pressure transmitted by the vehicle to the supporting surface. Optimization of tire pressure is a fundamental factor in improving off-road capability, reducing the load on the road surface, and enhancing vehicle handling—especially when driving on soft, uneven, or low-bearing-capacity surfaces such as sand, snow, or marshy ground.

The study also analyzed possible methods of influencing contact pressure and proposed practical measures aimed at increasing vehicle mobility performance. The main objective of the research was to determine the regularities in the change of pressure on the contact surface in summer and winter tires depending on their internal pressure.

Experimental testing was conducted according to the developed methodology using an M1-category vehicle with enhanced off-road capabilities—an Opel Grandland 1.5 BHDi. Tests were carried out on a flat concrete surface using summer Michelin Primacy 3 tires and winter Triangle Snowlink PL01 tires of size 225/55 R18.

The obtained experimental data indicate that seasonal tire types differ not only in tread pattern or rubber compound hardness but also in the nature of their mechanical interaction with the supporting surface under load. These differences determine tire effectiveness in specific climatic and road conditions and confirm the necessity of justified tire selection based on seasonality, operating modes, road surface type, and requirements for mobility and driving safety.

The graphical dependencies presented in the article for tires designed for different climatic conditions clearly confirm the effectiveness and engineering feasibility of reducing internal tire pressure during vehicle operation in challenging road and off-road environments. The demonstrated results show that winter and summer pneumatic tires exhibit fundamentally different deformation behavior and interaction patterns with the supporting surface, even under identical external conditions and within the same range of internal pressure variation. The identified differences are determined by a combination of structural, material, and operational factors that define the mechanical response of tires of different seasonal types under load.

DESIGN OF AN EFFICIENT CHAMBERED DISC-PAD BRAKE

2026-06-11T10:33:12+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-12

The materials of the article consider the optimization design of friction pairs of a chamber-type disc-shoe brake taking into account the restrictions on the design and operational parameters. The design and operation of a chamber disc-shoe brake of a drilling winch are presented, with a brake disk consisting of two half-disks of variable thickness, the larger of which corresponds to the maximum radius of the friction zone, and the smaller one to its minimum radius. As a heat carrier in the disk chamber in the cooling system, low-melting Li in the form of a powder mixed with water was used. Using the force method, the inertia forces, radial and tangential forces acting on the chamber disk and nanofluid in the volume of the chamber were determined. The stress-strain state of the disk was simulated to study mechanical and thermal stresses using the Ansys Workbench program. The values of the maximum equivalent stresses and stress gradients along the thickness of the chamber disk were determined and analyzed. The efficiency of nanofluid cooling was assessed using the thermal balance of the chamber disk. The thermal balance was assessed during forced air and forced nanofluid cooling of a metal friction element. Experimental and design developments, theoretical studies, and a full-scale computational experiment on a new type of chamber disc-pad brake with nanofluid cooling allowed us to establish the regularities of changes in operational parameters in the form of graphical dependencies. The main operational and heat exchange parameters of the serial and developed disc-pad brake of a drilling winch were compared. The wear and friction properties of friction pairs were improved by operating the brake in a temperature range lower than that permissible for the friction lining material, and, as a result, the braking qualities for the lifting shaft of the drilling rig.

EQUATIONS OF THE TRAJECTORY OF THE HEAD'S MOTION IN THE GROUND WITH THE CONDITION OF ITS CORRECTION AND THEIR EXPERIMENTAL VERIFICATION

2026-06-11T10:33:17+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-13

The primary limitation of the method is the deviation of the tool trajectory from the design path due to various factors, such as soil heterogeneity and positioning inaccuracies. This restricts the application of the method to short distances of up to 15–20 m.

To improve puncture accuracy, trajectory correction of the working body is proposed through adaptation of the tip (head) geometry.

In the event of deviation from the design trajectory, a tip with an asymmetric geometry is employed, generating a controlled imbalance of interaction forces with the soil. This enables purposeful control of the head motion during puncturing, allowing trajectory correction without interrupting the process and without additional intervention in the system.

The conducted research resulted in the development of a mathematical framework, including corresponding equations for trajectory correction of the working body. Key parameters such as soil type, its physical properties, and the inclination angle of the tip were taken into account. The obtained relationships allow prediction of system behavior and provide the capability to improve puncture accuracy under various operating conditions.

Analysis of experimental data showed that the largest trajectory deviations occur at smaller inclination angles of the tip, whereas with increasing angle this effect gradually decreases. In addition, clay soils exhibit the smallest deviations compared to other soil types. In particular, at a distance of 10 m and an inclination angle of 25°, the deviation in sandy loam was about 40 mm, while in clay it was approximately 20 mm. When the angle increases to 55°, these values decrease to 14 mm in sandy loam and 13 mm in clay, respectively. Further increase of the angle to 70° demonstrated that the influence of the inclination angle becomes negligible and no longer significantly affects trajectory deviation. At the same time, the discrepancy between experimental results and theoretical calculations does not exceed 15%, indicating sufficient accuracy of the proposed model and confirming its adequacy under real operating conditions.

The obtained results open new opportunities for improving the accuracy and efficiency of underground utility installation. In particular, they enable an increase in puncture length without loss of process controllability and expand the applicability of the static puncture method in complex engineering-geological conditions, ensuring more reliable and predictable execution of operations.

DETERMINATION OF TENSIONS IN THE BLOOD OF THE ROPE DRUM

2026-06-11T10:33:22+00:00

DOI: https://doi.org/10.26565/2079-1747-2026-37-14

Rope drums are in a complex state of stress because the ropes have three types of stress: compression, bending and torsion. The main stress is the compression that occurs as a result of winding the rope. In determining this stress, the drum is considered as an endless thick-walled tube that has no hubs. At the same time, it is assumed that the tension of the rope is constant along the length and perimeter of the drum, that is, the Lame decision is accepted. But this is a very approximate solution that does not correspond to the actual load conditions of the drum.

The article deals with the problem of determining the loaded state of the front face of the rope drum. All methods of calculating the front faces of drums have many shortcomings, the main of which is the failure to take into account the variability of the load on the drum wall due to the pressure of the rope turns, the coefficient of friction, the geometric and elastic parameters of the rope and drum.

The front of the drum is considered as a round plate, which is loaded on the outer circle with asymmetric pressure. To solve the given problem, we set the function of the external load of the front face of the drum and compose the equation of the total potential energy of the plate per unit length along the radius r without taking into account the shear deformation. At the same time, we get a differential equation of the 4th degree.

After solving this equation, a dependence was obtained to determine the deformation of the front face of the rope drum under the action of the rope that is wound on the drum shell. This will make it possible to calculate the loading of the frontal lobe and assess the need to strengthen it with stiffening elements.