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Section 3 - Track 2
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Ekaterina Serikova, Vladislav Kalaev and Olga Serikova
Using ROC analysis to confirm an algorithmically established diagnosis of lichen planus
The use of ROC analysis allowed the authors to determine cytogenetic criteria to confirm the diagnosis of lichen planus, obtained by selecting the most informative features and interpreting the micronucleus test in buccal epithelium, calculating their critical values, sensitivity and specificity for use as diagnostic tests. An increase in the number of cells with micronuclei in the lesion of lichen planus is a sign of genetic instability, which can trigger the process of their malignancy. Recognition of nuclear aberrations against the background of nuclear destruction makes it possible to diagnose lichen planus in patients.
Yuriy Vashukov
Mathematical modeling of hole formation with reinforcement in composite construction
With the help of the presented finite element model, studies of the deformed state of the process of setting the reinforcing sleeve in the hole of the part made of a polymer composite material are carried out. A mathematical model was developed to determine the force and operation of the setting process, as well as the dependence of the design parameters on the deformed state of the sleeve along the contour of the hole with reinforcement.
Klara Gabdrahmanova, Gulnara Izmailova and Lilia Samigullina
Mathematical modeling of geothermal energy extraction process by means of a well
The authors of the article examine the possibility of extracting geothermal energy to the Earth’s surface using the circulation of a heat carrier – water. For this purpose, an oil well is operated that is already suspended and is no longer used for its original purpose. A system of heat and mass transfer equations describing heat distribution in the ground around the well and in the coolant is presented. Various well depths, geothermal gradient, and water injection rate are considered.
Valery Kondrashchenko, Sergey Titov and Mong Thu Tran Thi
Mathematical model of a concrete mix rotational seal
A mathematical model is proposed for a throwing device in the form of two rotating cylinders with plates along their generators, which collect concrete mix portions and spray them in a mechanical way. A mathematical description of operation of such a device, interaction of individual particles with the blades and their flight in the space between rotors up to concrete mix compaction is given.
Vladimir Jordan, Igor Shmakov and Angelica Grigoryevskaya
Software implementation of the 3D-simulation procedure of SHS macrokinetics in the Ni-Al porous model medium with the closest packing of “mesocells”
The methodological features of the procedure for modeling the SHS macrokinetics in the model "etalon" structure of the densest packing of the so-called “mesocells” in the form of balls of the same radius are considered. In the center of the mesocell there is a spherical Ni particle (radius RNi = 30 μm), around which aluminum particles of radius RAl = 10 μm are contained in a spherical interlayer with a thickness of 20 μm. The etalon structure is formed by a program that takes into account the distribution of mesocells in the structure of the closest packing (alternating flat layers with square symmetry). A technique for numerical solution of the heat conduction equation using an implicit scheme of bicyclic splitting based on the symmetric Krank-Nicholson scheme is implemented. Together with the bicyclic splitting scheme, a procedure is implemented for numerically solving the diffusion kinetics equation in mesocells. For computational speedup, the parallelization schemes of cycles are used, which determine the main time costs for performing "runs" in grid computing schemes.
Aleksey Utkin, Albert Gareev and Asgat Gimadiev
Diagnostic method of a coil heat exchanger efficiency based on thermal and hydrodynamic processes modelling
The coolant quality is carefully monitored at thermal power plants using special devices, the input of which is a sample of superheated steam or condensate cooled by a coil heat exchanger. In the process of reducing the coolant temperature due to the content of impurities in the cooling water on the outer surface of the coil, scale deposits form, leading to a decrease in the efficiency of the heat exchanger and its failure due to blockage of the annulus by deposits. The use of parametric diagnostics of the heat exchanger efficiency, based on comparison of heat transfer coefficient of heat exchanger with and without deposits, will allow to set rational maintenance periods for the heat exchanger and reduce cooling water consumption. The paper presents a model for a subsystem of on-off automatic sample temperature control with a function for the heat exchanger efficiency diagnostic. The obtained simulation results with imitated deposits in the form of a multilayer coil wall show that with an increase in the thickness of deposits, the heat exchanger performance factor decreases almost linearly, confirming the rather high sensitivity of the proposed diagnostic method. The developed diagnostic method can be used in steam and water analyses system.
Angelica Grigoryevskaya, Pavel Gulyaev, Vladimir Jordan and Igor Shmakov
Spin instability criteria based on parametric identification of the node distribution in Trace transform direct image of the SHS combustion wave chronogram
The article gives examples of virtual chronograms of the propagation of a combustion wave in the diffusion, thermal, and spin instabilities of the SHS process. It is shown that the use of high-speed video recording allows one to reliably determine the moment of occurrence of the spin instability of the SHS combustion wave by differential chronoscopy methods. As a criterion for the recognition of spin instability, we selected the sign of the appearance of local maxima in the central transversal region of the spectrum of the trace transform. It is concluded that the spin instability is characteristic of the transition from the thermal to diffusion instability, in the presence of a hysteretic dependence of the burning rate on temperature.
Valery Berdnikov and Yakov Mostovoy
Analytical and numerical modeling of the formation of a programmable percolation route in the planning of two-phase operations
A swarm of robots, as a system of relatively simple interconnected controlled objects, fulfils a common task in a simultaneous and distributed manner. When planning swarm operations associated with the creation of a through frontal band in the service area from zones of target equipment operation – payload of the swarm objects, it becomes necessary to perform operational regrouping of the swarm, since at the time of planning the exact purpose of the swarm operation has not yet been determined or is a secret or is determined by a number of random circumstances. The execution of a swarm operation is advisable to carry out in two phases. The first phase starts even before resolving these uncertainties by creating a basic random network with a relatively small concentration of robots. At the second phase of the operation, a specific programmable percolation route is formed by local regrouping of the swarm objects, which provides a predetermined coverage of the target equipment of the swarm objects with operating zones in a certain service zone. In this case the time of the operation can be reduced significantly. This task is solved with the programmable percolation theory methods. The analytical dependences of the average quantity of the swarm objects from the stochastic base at the first phase of the operation, which are engaged in the formed programmable percolation route from the concentration of the swarm objects in the service zone, as well as the average quantity of the objects added to the inter-cluster intervals of the formed programmable percolation route depending on the concentration have been received. These dependences were confirmed by statistic modelling.
Valery Berdnikov and Yakov Mostovoy
Modification and training of ant algorithm for planning swarm operations of moving objects
A swarm of mobile robots, as a system of relatively simple interconnected controlled objects, fulfils a common task in a simultaneous and distributed manner. When planning swarm operations associated with the creation of a through frontal band in the service area from zones of target equipment operation – payload of the swarm objects, it becomes necessary to perform operational regrouping of the swarm, since at the time of planning the exact purpose of the swarm operation has not yet been determined or is a secret or is determined by a number of random circumstances. The execution of a swarm operation is advisable to carry out in two phases. The first phase starts even before resolving these uncertainties by creating a basic random network with a relatively small concentration of robots. At the second phase of the operation, a specific programmable percolation route is formed by local regrouping of the swarm objects, which provides a predetermined coverage of the target equipment of the swarm objects with operating zones in a certain service zone. This task is solved with the programmable percolation theory methods. A modified ant algorithm with evolutionary training has been considered and studied to solve quickly by the swarm the task of finding and forming the shortest through route via the service zone. In this case the time of the operation can be reduced significantly.
Valentina Burmistrova, Alexander Butov, Maksim Volkov, Mariya Moskvicheva, Yuliya Pchelkina, Boris Kostishko and Marina Yavtushenko
The change in the probability of aviation accidents “Collision of an aircraft with a bird” in accordance with of a change in the temperature cycle
This paper considers the possibility of predicting the most frequent aviation event "Collision of an aircraft with a bird", depending on the seasonality near the airfield. A model for determining the probability of this event is proposed, where the "time of year" is identified by the predicted air temperature near the airfield in question and the problem of determining the accumulated probability is solved. We consider the first approximation in which events are assumed to be independent (these are complex ecological and ornithological conditions and flaws of airfield’s ornithological support). Due to the first approximation of independence, the paper provides a possible way to determine the probability of the event "Collision of an aircraft with a bird". This method (in the form of a formula) determines the probability of intersection of events caused by hazard factors. The result of the simulation is the probability of long-term forecasting of the probability of an aviation incident due to an aircraft collision.
Larisa Stepanova and Ekaterina Mironova
Asymptotic stress fields near the crack tip in perfect plastic materials under mixed mode loading (plane strain conditions)
In the paper the asymptotic stress fields in the vicinity of the crack tip in perfectly plastic Mises materials under mixed mode loading for the full range of the mode mixities are presented. The salient point of the study is that the asymptotic solution is described by the same formulae for all values of the mixity parameter from 0.89 to 1 for plane strain. For plane stress conditions this segment can’t be observed.
Alexander Chekashov and Andrey Kramlikh
Research of optimality of the nanosatellite nominal reorientation trajectory
Nanosatellites have serious limitations on the onboard energy. Therefore, it is necessary to find a method of constructing a nominal reorientation trajectory that will optimally use the resources available on board. In this paper the process of constructing of nominal reorietation trajectory in the plane of nanosatellite orbit is considered. The problem of constructing a nominal reorientation trajectory was solved using the inverse dynamic problem method and Pontryagin maximum principle. A comparison of the results obtained using these two methods was made. As a result, it was noted that the solution obtained by the inverse dynamic problem method is close to the solution obtained using the Pontryagin maximum principle. This allows to speak about the optimality of the inverse dynamics problem method.
Anastasia Peksheva and Larisa Stepanova
Mixed mode fracture in perfect plastic materials for plane stress conditions
In the study the asymptotic stress fields in the neighbourhood of the crack tip in perfectly plastic Mises materials under mixed mode loading for the full range of the mode mixities are presented. This objective is engendered by the necessity of considering all the values of the mixity parameter for the full range of the mode mixities for plane stress conditions to grasp stress tensor components behaviour in the vicinity of the crack tip as the mixity parameter is changing from 0 to 1.