Institution
Volga State University of Water Transport
Education•Nizhny Novgorod, Russia•
About: Volga State University of Water Transport is a education organization based out in Nizhny Novgorod, Russia. It is known for research contribution in the topics: Attractor & Creep. The organization has 71 authors who have published 75 publications receiving 224 citations.
Topics: Attractor, Creep, Homoclinic orbit, Evaporation, Particle
Papers
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TL;DR: In this article, the effect of the initial thickness of the liquid layer on the height and area of the sediment formed in the central region of a cylindrical cell is studied.
Abstract: The work is devoted to one method of structured sediments formation connected to evaporative lithography. Experiments were carried out with nonuniform evaporation of an isopropanol film containing polystyrene microspheres in a cylindrical cell. The local inhomogeneity of the vapor flux density was achieved due to the temperature gradient. A copper rod was mounted in the central part of the bottom of the cell for further heating. The thermocapillary flow resulting from the surface tension gradient due to the temperature drop transfers the particles that were originally at rest along the bottom of the cell. The effect of the initial thickness of the liquid layer on the height and area of the sediment formed in the central region of the cell is studied. The velocity was measured using PIV. A model describing the process at the initial stage is developed. The equations of heat transfer and thermal conductivity were used to define the temperature distribution in the liquid and the cell. The fluid flow was simulated by the lubrication approximation. The particle distribution was modeled using the convection-diffusion equation. The evaporation flux density was calculated using Hertz-Knudsen Eq. The dependence of the liquid viscosity on the particle concentration was described by Mooney's formula. Numerical results showed that the liquid film gradually becomes thinner in the central region, as the surface tension decreases with increasing temperature. The liquid flow is directed to the heater near the substrate. It transfers the particles to the center of the cell. The volume fraction of the particles increases over time in this region. The heat flow from the heater affects the geometry of the sediment for two reasons. First, the Marangoni flow velocity depends on the temperature gradient. Secondly, the decrease in film thickness near the heater depends on the temperature.
5 citations
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TL;DR: This work discusses the destruction of this attractor due to the appearance of sliding motions in its structure, and studies a complex sequence of attractor bifurcations that leaves in the system a globally stable limit cycle.
Abstract: We study the dynamics of a piecewise-smooth system of differential equations for which the existence of a strange Lorenz-type attractor had been rigorously proved previously and bifurcation mechanisms of its birth had been obtained. In this work we discuss the destruction of this attractor due to the appearance of sliding motions in its structure. Using qualitative and numerical methods, we study a complex sequence of attractor bifurcations that leaves in the system a globally stable limit cycle. We show that this sequence is based on C-bifurcations and bifurcations of multi-loop homoclinic trajectories.
5 citations
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31 Aug 2021TL;DR: In order to eliminate the disadvantages happening in the main engines operation in shared load modes, it is considered to use the shaft generator unit as a propeller shaft unit in the prolonged operation of the vessel at passing with a low speed and maneuvering.
Abstract: The article presents the analysis of the operating modes of small displacement vessels, which states that most of the working time the vessels are in standby mode, or move at low speed. The main ship diesel engines operate at a load of 10-15% (maximum 20%), which impacts the operational performance: the oil and water jacket of the engine do not have time to warm up, fuel and oil consumption increases. There takes place coking of piston rings, intercoolers and other components, which leads to a sharp decrease in the service life of the engine. In order to eliminate the disadvantages happening in the main engines operation in shared load modes, it is considered to use the shaft generator unit as a propeller shaft unit in the prolonged operation of the vessel at passing with a low speed and maneuvering. Such a variant of the shaft generator can be called a reversible shaft generator unit (RSGU) capable of operating in both generator and motor modes. At the same time, it is advisable to power the reversible shaft generator and general ship consumers from a diesel generator, which, in order to save fuel, can be applied as a variable speed diesel generator unit. There is presented a RSGU variant based on an asynchronous machine with a phase rotor and a frequency converter in the rotor (a double power supply machine). The functional and structural schemes of the ship’s electric power system using the variable speed diesel generator and the propulsive system based on the reversible shaft generator are presented. In the Matlab software there are developed the simulation models and presented the results of simulation modeling of the operating modes of the above systems.
5 citations
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TL;DR: It is demonstrated that fast switching between two Lorenz systems yields a ghost chaotic attractor, even though the dynamics of both systems are trivial and defined by stable equilibria.
Abstract: In this paper, we consider blinking systems, i.e., non-autonomous systems generated by randomly switching between several autonomous continuous time subsystems in each sequential fixed period of time. We study cases where a non-stationary attractor of a blinking system with fast switching unexpectedly differs from the attractors of composing subsystems. Such a non-stationary attractor is associated with an attractor of the averaged system being a ghost attractor of the blinking system [Belykh et al., Phys. D: Nonlinear Phenom. 195, 188 (2004); Hasler et al., SIAM J. Appl. Dyn. Syst. 12, 1031 (2013); Belykh et al., Eur. Phys. J. Spec. Top. 222, 2497 (2013)]. Validating the theory of stochastically blinking systems [Hasler et al., SIAM J. Appl. Dyn. Syst. 12, 1031 (2013); Hasler et al., SIAM J. Appl. Dyn. Syst. 12, 1007 (2013)], we demonstrate that fast switching between two Lorenz systems yields a ghost chaotic attractor, even though the dynamics of both systems are trivial and defined by stable equilibria. We also study a blinking Hindmarsh–Rose system obtained from the original model of neuron activity by using randomly switching sequence as an external stimulus. Despite the fact that the values of the external stimulus are selected from a set corresponding to the tonic spiking mode, the blinking model exhibits bursting activity. For both systems, we analyze changes in the dynamical behavior as the period of stochastic switching increases. Using a numerical approximation of the invariant measures of the blinking and averaged systems, we give estimates of a non-stationary and ghost attractors’ proximity.
5 citations
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TL;DR: In this article, a mathematical model is developed within the framework of equations of damaged medium mechanics to describe the processes of viscoplastic straining and damage accumulation in structural steels with allowance for fatigue and creep of the material.
Abstract: A mathematical model is developed within the framework of equations of damaged medium mechanics to describe the processes of viscoplastic straining and damage accumulation in structural steels with allowance for fatigue and creep of the material. A model of damage summation due to interaction of low-cycle fatigue and creep of the material is proposed. Material parameters and scalar functions of equations of mechanics of damaged media are determined. Viscoplastic straining and fatigue-induced damage accumulation in 08Kh18N10T and 12Kh18N9 are studied numerically, and the data obtained are compared with available results of physical experiments.
4 citations
Authors
Showing all 72 results
Name | H-index | Papers | Citations |
---|---|---|---|
Vladimir N. Belykh | 16 | 48 | 1357 |
Alexander I. Tsvetkov | 10 | 70 | 447 |
Stanislav A. Ermakov | 10 | 73 | 581 |
Ivan A. Kapustin | 6 | 21 | 91 |
Ivan A. Kapustin | 4 | 30 | 47 |
I. A. Volkov | 4 | 37 | 60 |
E. N. Myasnikov | 3 | 4 | 14 |
Svetlana Miloslavskaya | 3 | 5 | 14 |
Nikita V. Barabash | 3 | 9 | 22 |
K. S. Kolegov | 3 | 11 | 40 |
I. S. Tarasov | 2 | 8 | 13 |
Yu. S. Fedosenko | 2 | 8 | 15 |
F. I. Vybornov | 2 | 6 | 7 |
I. V. Smetanin | 2 | 3 | 12 |
Yu. G. Korotkikh | 2 | 3 | 11 |