no. 3 (191), 2024


OMSK SCIENTIFIC BULLETIN


MECHANICAL ENGINEERING

B. A. Kalashnikov, V. V. Bokhan, K. V. Penkov
Determining the nonlinear damping function usingexperiments
DOI: 10.25206/1813-8225-2024-191-5-13
In this article, the coefficients of the nonlinear damping function of a mechanical system with one
translational degree of freedom are determined fr om an experimentally obtained oscillogram of free
vibrations. The function is modeled using three types of damping: coulomb damping, linear
viscous, and nonlinear viscous damping. Numerical values of the damping coefficients are identified.
The characteristic of the dissipative force as a function of displacement is obtained, and is used to find
the amount of energy dissipated over a time period. An equivalent relative damping ratio is approximated
using the energy balance method and then used to perform numerical integration of the equation of motion.
A satisfactory match of the envelope curve and the phase of the vibrational process is demonstrated by
comparing the calculated oscillogram to the experimental one. The damping function parameters can be
further refined by approximating the experimental amplitudes. The obtained value of the relative damping
coefficient can be used to solve nonlinear problems in the area of dynamics of weakly damped systems.

Keywords: nonlinear damping function, Coulomb damping, linear viscous damping, nonlinear viscous
damping, energy dissipation, envelope curve, relative damping ratio, energy balance method.

5–13

















F. N. Pritykin
Overcoming dead-end situations of synthesis of motions of anthropomorphic
robots on the basis of the use of motions of the clutch axis along the linear
surface limiting the body angle of service
DOI: 10.25206/1813-8225-2024-191-14-21
An algorithm for synthesizing hand motions of anthropomorphic robots by velocity vector during the
installation of objects of manipulation given, in the form of rectangular prisms in a container,
is proposed. The algorithm makes it possible to solve deadlock situations in computer simulation
of motions. The essence of the method consists in the use of hand motions, at which the axis of the
clash carrier moves and forms with some approximation a rulered surface, which specifies the body
angle of service. For this purpose, it is proposed to use a database of configurations that specify
certain positions of the output link centre and of the accumulation carrier axes which coincide with
the above-mentioned line surfaces. The results of calculations of intermediate configurations in
computer modeling of motions of anthropomorphic robots in an organized environment using the
developed algorithm are presented.

Keywords: mechanisms of manipulators, instantaneous states of mechanisms, vector of generalized
speeds, linear surfaces, computer simulation of motions of anthropomorphic robots, deadlocks,
forbidden zones, synthesis of motions of manipulators.


14–21



















D. I. Chernyavsky, D. D. Chernyavsky
The dynamic analysis of stress state of the piston rod of single-stage long-stroke
piston compressor
DOI: 10.25206/1813-8225-2024-191-22-30
The analysis of loaded state of system piston rod – piston of single-stage longstroke piston compressor 
is performed. These compressors are used to change the compressed gas pressure from normal 
atmospheric pressure (760 mmHg = =0,101 MPa) to discharge pressure (2–10 MPa). The criteria
for calculating the piston rod from the point of view of its dynamics, taking into account the natural
vibration frequency of the piston rod, are determined. Conclusions are drawn and practical
recommendations are given that can be used in the design process of these compressor stages.

Keywords: single-stage long-stroke piston compressor, loss of stability of compressed rods, resonance,
Euler critical compression force, polytropic process, frequency of free vibrations of the rod, frequency
of forced vibrations of the rod.


22–30













V. A. Ilinykh, V. Yu. Lineytsev, O. S. Belkina, E. V. Nepomnyashchikh
Assessment of the stress-strainstate of profile joints of machine components
DOI: 10.25206/1813-8225-2024-191-31-38
The article presents the results of studies of profile joints of mechanisms and machines for rigidity
and strength. The device is based on the use of fixed and movable profile connections designed to
transmit torque. Profile joints with a guaranteed gap are considered, made on the basis of an equiaxial
contour of the P3, P5 type and a curved contour of the PC4 type, which have received the most
widespread introduction in the nodes of metal-cutting machines and other machines manufactured in
Russia, as well as Hungary, Germany and the DPRK. Using a well-known technique designed to
assess the stress-strain state (VAT) of the parts of profile joints, calculations are performed according
to the criteria of operability for strength and stiffness of hubs (bushings) with different wall thicknesses.
The analysis of the results of the calculation of strength and stiffness is carried out using the example
of the P3 profile. When stretching the hub from the action of spacer forces, the geometric shape, the
nominal size of the covered part, the wall thickness of the covering part, as well as the magnitude of
the external load transmitted by the connection in static are taken into account. The permissible values
of the thickness of the walls of the hub (bushings) of the joint are determined to ensure the rigidity of
the hub under tension from the action of external loads. As a result of the research, the influence of the
thickness of the hub walls for the studied shapes of the joint parts on the values of the transmitted torque
is established. For example, a change in the thickness of the hub wall from 15 to 3 mm for a normal
range of shaft mounting diameters causes the sleeve to stretch radially up to 50 microns in the range
of transmitted torques from 5 to 600 Nm.

Keywords: P3, P5, PC4 profile joints, shaft, hub, tension, expansion, metal cutting machines.


31–38























Yu. P. Makushev, T. A. Polyakova
Harmonic analysis of the torque of the YAMZ-5340 engine
DOI: 10.25206/1813-8225-2024-191-39-47
The purpose of the study is to find a technique and conduct on its basis a harmonic analysis of
the torque of an internal combustion engine for the subsequent determination of resonant vibrations
of the crankshaft. The method of calculating the harmonics of the engine torque is given on the
example of a YaMZ-5340 diesel engine with a power of 100 kW at a crankshaft rotation speed
of 2300 min-1. Based on the results of thermal and dynamic calculation of the YaMZ-5340 engine,
a graph of changes in its torque is constructed and harmonics of the first and second orders are
calculated. The frequencies of natural and forced vibrations of the crankshaft and its resonant
critical rotation frequency are determined. The number of the torque harmonic has been determined,
which, according to the frequency of forced vibrations, coincides with the frequency of natural
vibrations and causes resonance. The results of the study can be applied in the design and fine-tuning
of engines in order to calculate and reduce torsional vibrations.

Keywords: information technology, monitoring system, process control, indicators, standards
development, quality management.

39–47
















 
V. G. Mufteev, F. T. Ziganshina, V. I. Gumerov, R. I. Nabiev, G. M. Efimova
Qualitative modification of geometrically oriented methods for constructing
spatial curves in C3D FairCurveModeler
DOI: 10.25206/1813-8225-2024-191-48-55
The article provides a detailed algorithm for improving the C3D FairCurveModeler commands for
constructing a class F spatial curve with approximation by a rational cubic spline Bezier curve
(NURBzS-curve) and with approximation by a highdegree B-spline curve. The improvement is
achieved by optimizing the structure of the Hermite spatial Geometric Determinant when defining
it on a spatial virtual curve (V-curve) created on a set of double-tap conical curves. The structure
of the Hermite Geometric Determinant is improved by changing the direction of the tangents,
taking into account the spatial directions of the tangents at the end points of the conic segments at
the step of constructing the set of double-tap conical curves. To demonstrate the modified method,
the work shows 1) Improving the quality of a conical spiral modeled by the regular _Helix command
of CAD systems ZWCAD, BricsCAD, AutoCAD by using the C3D FairCurveModeler command for
creating a NURBzS-curve. 2) Construction of a B-spline curve of the 8th degree on the points of a
conical spiral by the C3D FairCurveModeler command and comparison with similar constructions in
the CAD systems 'Rhino Ceros D', 'Alias Design Studio', NX which declare the construction of high
quality curves (class A).

Keywords: Spatial spline curve, C3D FairCurveModeler, C3D geometric kernel, conic curves, class
A curves, class F curves. 


48–55



















  

P. A. Khazov, O. I. Vediaikina
Computer modeling of aerodynamic flow and assessment of pedestrian
aerodynamic comfort of a building complex
DOI: 10.25206/1813-8225-2024-191-56-63
The results of a computer modeling of the distribution of wind flows near diverse objects
(large-span and high-rise buildings) are given and analyzed. The analysis of pedestrian
aerodynamic comfort is carried out for a vertical object (a high-rise building) separately and in
two positions in combination with a horizontal one (a large span). Wind flow distribution fields
are obtained. The results of the experiment show that complex buildings affect their distribution.
The point of application and the modulus of the vector of the resultant wind load change. The
speed and direction of distribution of wind flows near objects are changing. A nearby building
located on the windward side creates a «barrier» reducing the wind speed in the courtyard areas.
A building located downwind is able to reflect air flows, creating swirls near objects. More
comfortable for external technical work on the facades of the buildings in question is the
position from behind facing the direction of the wind flow.

Keywords: computer modeling, wind load, pedestrian comfort, aerodynamic comfort,
aerodynamic experiment, integrated development, wind pressure, air flow.
56–63















     

A. S. Korotin, E. V. Popov
Assessment of the accuracy of open digital terrain models
DOI: 10.25206/1813-8225-2024-191-64-72
Prompt receipt of reliable information about the terrain with sufficient detail is one of the
main tasks in the fields of national economy, territorial development or research of large
territorial units. The multiplicity of error sources in Earth remote sensing materials is due
to a number of factors, and the resulting terrain models have a certain degree of generalization,
which directly affects the correctness of digital terrain models. This article is devoted to the
analysis of existing methods for estimating errors of open digital terrain models in order to
increase their accuracy. Correct digital elevation models have a high similarity to reality and
can be used in regional studies to determine the morphometric indicators of the territory.

Keywords: digital terrain model, remote sensing of the Earth, tree and shrub vegetation,
normal Gaussian distribution, Lagrange interpolation polynomial, local interpolation.
64-72













T. A. Sheveleva, A. A. Lyashkov
Modeling the boundaries of the working space of a planar three-link
manipulator
DOI: 10.25206/1813-8225-2024-191-73-81
A study of the boundaries of the working space of a three-link planar manipulator, specified
by analytical equations, is carried out. A new geometric interpretation of these samples is
proposed. On its basis, it is established that outer space consists of two-parameter volumes
of eccentric and concentric circles. When transforming such environments into four-dimensional
space, two types of hypersurfaces are obtained, which represent a geometric model of the
manipulator's workspace. The discriminants of these hypersurfaces on the hyperplane are two
two-dimensional surfaces. Both an analytical description of these surfaces and their computer
models are obtained. As a result, it is established that the boundaries of the working space on
the plane of the mechanism are the discriminants of such surfaces. To confirm the reliability
of the results obtained, as an example, an inverse kinematics problem is solved on discriminant
surfaces — the values of generalized coordinates at the boundary points of the manipulator’s
workspace are determined for their given Cartesian coordinates.

Keywords: geometric modeling, computer model, manipulator, gripper center, manipulator
workspace, hypersurface, discriminant, three-link planar manipulator.
73-81

















ENERGY AND ELECTRICAL ENGINEERING

V. P. Kuzmenko
Three-level voltage control algorithm in distributed electrical networks with solar
photovoltaic systems
DOI: 10.25206/1813-8225-2024-191-82-92
Modern energy systems are increasingly integrating renewable energy sources, presenting new
challenges for voltage regulation. This study aims to model the voltage regulation process in the
context of distributed electrical grids equipped with solar photovoltaic systems. A three-tier voltage
control algorithm is proposed, which analyzes and integrates data on solar generation, suggests
optimal actions for managing energy storage systems, calculates voltage levels, and recommends
measures for controlling inverter reactive power to effectively mitigate voltage fluctuations.
The study employs methods of mathematical averaging of time series and optimization based
on the analysis of real data. The algorithm's performance is evaluated using an open dataset of solar
energy generation. The results show a significant improvement in voltage regulation metrics,
conforming to the standards established by GOST 32144-2013. This validates the effectiveness
of the proposed voltage control method in electrical grids incorporating solar photovoltaic systems.

Keywords: solar photovoltaic systems, distributed electrical grids, voltage regulation,
renewable energy sources, reactive power control algorithms, inverter reactive power.
82–92


















V. V. Fedyanin, V. K. Fedorov, I. E. Pestrikova
Chaotic oscillation generator
DOI: 10.25206/1813-8225-2024-191-93-98
The article analyzes existing schemes of chaos generators. Numerical and simulation modeling
is carried out aimed at identifying chaotic dynamics. Based on wellknown concepts, a chaos
generator is developed and a simulation model is built. A mathematical description of the
generator is given and phase portraits are obtained. Diagrams of chaotic oscillations of the
Lorentz model and the Colpitts model are presented. The operation of the Van der Pol
generator is considered and the chaotic processes that arise during external harmonic
oscillations are shown. Chua's model is presented, its mathematical description is given,
and an analysis of oscillations in the deterministic chaos regime is presented.

Keywords: chaos, chaos generators, chaotic oscillations, attractor, dynamic system, differential
equations, phase portrait.


93–98














E. V. Petrova, S. S. Girshin, V. A. Krivolapov, K. V. Khatsevskiy, V. N. Goryunov,
V. M. Trotsenko
The analysis of losses in protected and non-insulated wires in stationary
modes, taking into account weather conditions
DOI: 10.25206/1813-8225-2024-191-99-109
In overhead lines of power supply systems at voltages of 6–110 kV, the use of protected wires is
becoming increasingly popular, which have a number of advantages over traditional non-insulated
aluminum wires. On the other hand, the presence of insulation requires the development of more
complex mathematical models to adequately describe their behavior and study the characteristics
of new wires during operation. The results of using the developed mathematical models and
calculation programs for comparative analysis of protected and non-insulated wires under
conditions of changing load currents and weather conditions are presented. The dependences of
temperature and loss of active power on insulation thickness are investigated. It is shown that
the presence of insulation allows, under certain conditions, to reduce temperature and losses
compared to wires without insulation, all other things being equal. The results obtained can be
used to increase the capacity and reliability of power transmission lines.

Keywords: active power losses, conductor temperature, insulated wire, protected wire, active
power, overhead lines, line resistance.

99–109


















D. A. Polyakov, M. A. Kholmov, K. I. Nikitin
Study of the magnetic field effect on partial dischargescharacteristics
DOI: 10.25206/1813-8225-2024-191-110-116
The paper is devoted to the study of the dependences of the characteristics of partial discharges
on magnetic induction. The design of the experimental setup has been developed. It allows
applying both high voltage and current comparable to the operating one. The setup includes a
high voltage source (dielectric tester), a current flow circuit, a high voltage current
transformer and a sample of XLPE insulated cable. The operation of the electrical circuit of
the experimental setup is simulated using software. The modeling has shown that if the
operational electrical strength of the current transformer insulation is present, the high-voltage
potential cannot contact the current flow circuit. After this, modeling of the magnetic field
inside the insulating layer is carried out. Based on the developed design, an experimental
setup is created. To record partial discharges, an artificial defect is created in a cable sample.
The results of magnetic field modeling made it possible to estimate the magnetic induction
in the field of an artificial cable defect. Next, experimental studies are carried out to assess
the influence of the magnetic field of the cable core current on the characteristics of partial
discharges. The measurement results have showed a decrease in the average apparent charge
of partial discharges and partial discharge power with increasing current. In addition,
waveforms are compared, but no significant differences are found. The magnetic field of the
current may influence the PD performance in the long term due to its possible influence on
the direction of growth of the electrical tree structure.

Keywords: partial discharge, a magnetic field, partial discharge measurement, characteristics
of partial discharges, insulation defect, experimental study, modeling of real conditions of
cable operation.

110–116
























V. M. Trotsenko, S. S. Girshin, E. V. Petrova, V. N. Goryunov,
D. G. Safonov
Modeling and calculation of temperature distribution along the length
of a wire studying problems the capacity of power transmission lines near
contact connections
DOI: 10.25206/1813-8225-2024-191-117-124
The article has obtained an analytical solution to the thermal conductivity equation for the
contact connection of long sections of overhead lines, and also considered the case for a line
with two short and two long sections, which makes it possible to take into account distributed
defects and clamp sizes. The application of the obtained mathematical model to determine
the temperature of an overhead power line near contact connections is shown. A comparative
analysis of the temperature values in the power line, calculated using the created mathematical
model, with published data obtained based on finite element modeling using the results of a
physical experiment is performed. It has been shown that heating of contact connections can
significantly lim it the throughput of lines even at an acceptable level of contact resistance.
This makes relevant the tasks of calculating the temperature of contact connections of power
lines and clarifying permissible currents taking into account the influence of transient contact
resistances.

Keywords: axial heat transfer, contact connection, temperature, throughput, permissible current,
contact resistance.
117-124




















ELECTRONICS, PHOTONICS, INSTRUMENT ENGINEERING AND COMMUNICATION

S. V. Biryukov
Comparative study of double and dual electroinduction spherical electric field 
strength sensors
DOI: 10.25206/1813-8225-2024-191-125-132
The work provides a comparative study of double and dual electric field strength sensors. The
comparison examined the design, technological and metrological parameters of the sensors, as well
as the complexity of their measuring circuits. Research has revealed similarities in the design and
technological parameters of the sensors and differences in metrological characteristics and the
complexity of the measuring circuits. In terms of metrological characteristics, dual sensors are
significantly superior to double ones. It has been established that a dual sensor having sensitive
elements with angular dimensions 1=46,38 , and 2=90 , has a smaller error due to field
inhomogeneity. The error does not exceed  ±2,76 % in the spatial measurement range
0a1. With the same error, double sensors can only be used in a limited spatial measurement
range of 0a0,89. It is shown that dual sensors are superior to dual sensors in terms of
metrological parameters. This indicates the advisability of their use.

Keywords: electric field strength, electric field sensor, double sensor, dual type sensor, measurement
error, distance to the field source.

125–132


















A. G. Kozlov, E. A. Fadina
Impedance of a flow-through measuring electrochemical cell with a system of
planar interdigitated microelectrodes
DOI: 10.25206/1813-8225-2024-191-133-141
The article considers a flow-through electrochemical cell with planar interdigitated microelectrodes
intended for impedance studies of liquids. To assess the influence of the cell height and geometric
parameters of the interdigitated microelectrodes on the cell impedance, an analytical approach is
proposed that uses several levels of modeling electrochemical processes in the cell. At first, an
elementary two-dimensional subdomain is distinguished in the cell structure, for which the potential
distribution is determined by solving the differential equation of electrical  conductivity. Using the
obtained potential distribution, the linear parameters of the elementary subdomain, its linear resistance
and linear capacitance are determined, on the basis of which the resistance and capacitance of the
interdigitated microelectrode system are found. The impedance of an electrochemical cell with
interdigitated microelectrodes is determined using its equivalent electrical circuit, which includes the
resistance and capacitance of the interdigitated microelectrode system, the capacitance of the double
electric layer on the surface of each microelectrode, and the resistances of the interdigitated
microelectrode leads. Using the expression for the impedance of the electrochemical cell, its Nyquist
and Bode diagrams are determined for different values of the cell height and geometric parameters of
the interdigitated microelectrode system. The presented approach can be used to analyze processes in
a flow-through electrochemical cell with interdigitated microelectrodes, its design, and the development
of methodological support for impedance studies of liquid substances with help of it.

Keywords: electrochemical cell, interdigitated microelectrode system, impedance, equivalent
electrical circuit, Nyquist diagram, Bode diagram, impedance modulus, impedance argument.


133–141
























V. E. Mitrokhin, V. E. Osipov
An overview of the factors affecting fiber-optic communication lines during
lightning discharges and modeling of laboratory installations designed to study
the effect of a magnetic field on fiber parameters 
DOI: 10.25206/1813-8225-2024-191-142-149
The article provides an overview of the known effects that influence the transmission of information
over optical fiber and that arise as a result of lightning discharges: the electro-optical Kerr effect,
the Faraday effect, the influence of ionizing radiation. It is indicated that there is preliminary
empirical data according to which the magnetic field changes such an optical fiber parameter as
attenuation. In order to verify these preliminary empirical data, further experimental studies of the
supposed influence of the magnetic field on attenuation are proposed, for which it is necessary to
build a laboratory installation. This article is also devoted to a comparison of various options for
laboratory installations and the preliminary selection of a parameter for comparison. As a result of
modeling two options for a laboratory installation and comparing them according to the accepted
parameter, one of two installation options is selected.
Keywords: modeling, optical fiber, Faraday effect, Kerr effect, magnetic field, signal attenuation.

142–149













  

K. I. Fomichenko, G. V. Volchanin, A. A. Kuznetsov, A. Yu. Kuzmenko
Experimental studies of the quantitative composition of corrosion products
on the surface of reinforced concrete structures
DOI: 10.25206/1813-8225-2024-191-150-156
Reinforced concrete structures play a key role in modern infrastructure, however, corrosion of
reinforcement poses a serious threat to their durability and safety. In this study, the sensitivity of
a portable X-ray fluorescence analyzer (XRF) to corrosion products on the concrete surface
is considered. The experiment was conducted using concrete samples containing varying amounts
of iron hydroxide. The results showed that the FRA demonstrates high accuracy and reliability in
detecting corrosion, which contributes to the improvement of diagnostic methods and maintenance
of reinforced concrete structures.

Keywords: reinforced concrete structures, reinforcement corrosion, X-ray fluorescence analyzer,
diagnostics, corrosion products, durability, infrastructure.

150–156














I. A. Shnyptev, R. S. Kurmanov, Yu. M. Sosnovsky, A. A. Kuznetsov
Development method of determining angle of the railway contact network
support inclination
DOI: 10.25206/1813-8225-2024-191-157-164
The article is devoted to the analysis of compressibility factor calculation methods in the temperature
range from 220 to 250 K. The AGA8-92DC (GOST 30319.2-96), AGA8 Report Detail
(GOST 30319.3-2015), GERG-2004/2008, NX19, GERG-91, ISO 20765-1 (GOST R 8.662-2009),
GSSSD MR 118-05 (moderately compressed gas mixtures) and GSSSD MR 113-03 (Wet Oil Gas)
methods were experimentally tested. Deviations of experimental data and calculated values of
compressibility coefficient determined by the specified methods are shown. It was found out that
the deviation of the calculated values of the compressibility factor according to the AGA8-92DC,
AGA8 Report 1 Detail, GERG-2004/2008, ISO 20765-1 (GOST R 8.662-2009), GSSSD MR
13-03 methods from the experimental ones does not exceed 0,1 %. This fact confirms the
possibility of using these methods in the temperature range from 220 to 250 K. The results
obtained in the framework of this study are highly significant for flow metering, and in particular,
provide an increase in the accuracy of the procedure for bringing the volume of natural gas to
standard conditions at low temperatures.

Keywords: сompressibility factor, natural gas flow rate, AGA8, GERG-2004, calculation method,
low temperatures.
 157–164