Vol 4, No 1-4 (2014)


Statistical characteristics of the coordinates of a point on the Earth's surface, when applied the combination of differential-ranging and dynamical methods on spacecraft

Blokhina V.F., Popov P.B.


The paper shows the analytical relations for calculation in the linear approximation by measurement errors assessment of geographical coordinates and correlation matrix of points on the Earth's surface when using a combination of differential-ranging and dynamical methods. There is said that the use of dynamical and differential-ranging methods reduces the number of spacecraft to 2 when implementing high positioning accuracy inherent to RDM and simplifies the maintenance of configuration groups.
Izvestiya MGTU MAMI. 2014;4(1-4):5-10
pages 5-10 views

The revised method of solving the contact problem for ring layer, taking into account the forces. Message 1. Mathematical model of contact interaction of ring layer with rigid base

Bozhkova L.V., Noritsyna G.I., Ryabov V.G.


The article proposes revised method of solving the contact problem for ring layer, taking into account frictional forces in the contact zone. The law of changes radial contact pressures is presented in the form of infinite series containing two groups of unknown constants. To determine unknown constants there was obtained the system of two functional equations.
Izvestiya MGTU MAMI. 2014;4(1-4):11-17
pages 11-17 views

Applied version of the theory of elastic-plastic processes, which takes into account the additional isotropic hardening

Bondar V.S., Danshin V.V., Kostin A.V.


On the basis of the equations of the theory of elastic-plastic deformation of materials, which have a special characteristic of additional isotropic hardening at disproportionate (complex) cyclic loading, there was retrieved an applied variant of the theory of elastoplastic processes and the kinetic equation of damage accumulation. The basic experiment and method of identification of the material functions are formulated, which final the variant of theory.
Izvestiya MGTU MAMI. 2014;4(1-4):18-23
pages 18-23 views

Trigonometric probability distribution

Ivashnev L.I.


The article offers the trigonometric probability distribution, and the method of sequences of numbers generating distributed on trigonometric law. Economic variables have a pronounced cyclicity so the distribution can be very useful in the analysis, research, planning, forecasting and modeling of the economic variables, objects and processes.
Izvestiya MGTU MAMI. 2014;4(1-4):24-30
pages 24-30 views

Scaling when using weighted regression method

Ivashnev L.I., Gorbacheva S.L.


The paper presents an option of the weighted regression, called the method of scaling, moreover, this method allows to get the regression equations for functions that on the domain of existence have a break point. This method also allows to receive the regression equations describing the transient processes near the break points and extends the tools of mathematical statistics, widen the range of their application, improve the accuracy and efficiency of the obtained results.
Izvestiya MGTU MAMI. 2014;4(1-4):31-35
pages 31-35 views

Endochronic plasticity theory, which takes into account the cross-linking, initial microstresses and initial microdeformations

Kadashevich Y.I., Pomytkin S.P., Kryzhevich S.G.


The article proposes a statistical theory of inelasticity of endochronic type, which takes into account initial microstresses and initial microdeformations, that are contained in the material. The theory main relations are formulated. The examples of the two-and one-element models were taken to provide calculations of hypothetical material uniaxial loading, which demonstrate the approach by assuming a uniform distribution of initial microdeformations. There is emphasized that in the process of loading the structural elements of the model can generate deformation of different signs that expands the boundaries of applicability of the theory.
Izvestiya MGTU MAMI. 2014;4(1-4):36-43
pages 36-43 views

The generalized equation of relativistic quantum mechanics

Ketsaris A.A., Kalpina N.Y.


The article displays the generalized equation of the relativistic quantum mechanics from Clifford algebras structure equations. It is shown that the equation relates to the two particles one of which is massless. Hence, the resulting equation is considered as belonging to leptons of one generation.
Izvestiya MGTU MAMI. 2014;4(1-4):44-48
pages 44-48 views

Scaling parameters and modeling flutter of a cylindrical shell

Kiyko I.A., Pokazeev V.V.


The similarity parameters in the problem of flutter of a cylindrical shell were studied. As a mathematical theory of shells there was adopted a technical theory in mixed form. For a manometric pressure either formula of piston theory or formula of linearized potential flow theory is accepted. Physical conditions of modeling were derived from the equation of similarity parameters of the model and full-scale processes.
Izvestiya MGTU MAMI. 2014;4(1-4):49-54
pages 49-54 views

Nonlinear oscillations of a three-layer and multi-layer plates and shells during periodic impacts (survey)

Kogan E.A., Yurchenko A.A.


The analysis of the current state of research on the free and forced nonlinear oscillations of three-layer and multilayer thin elastic plates and shells under periodic influences was made. There were discussed some various approaches to the solution of nonlinear dynamic equations of laminated plates and shells, which are applied to this class of problems. There was also analyzed the impact of physical, mechanical, geometrical parameters, the packet structure of layers, forms of plates, boundary conditions on the nature of non-linear oscillations and form of amplitude-frequency characteristics of laminated plates and shells, as well as the available experimental results.
Izvestiya MGTU MAMI. 2014;4(1-4):55-70
pages 55-70 views

Generalized method of definition of speed of restrained modal movement of gas bubbles, liquid droplets and solid particles of any form under the influence of gravity

Kondratiev A.S.


A known method of calculating the velocity of movement of constrained freeform solids under gravity is extended to cases of monomodal motion of gas bubbles and liquid droplets of arbitrary shape.
Izvestiya MGTU MAMI. 2014;4(1-4):71-76
pages 71-76 views

Plate thickness’ distribution optimization problem in panel flutter case analysis

Kudryavtsev B.Y.


The flutter of a rectangular plate with variable thickness, placed in the supersonic gas flow, was analyzed with application of the linear piston theory. A solution for optimization of the plate thickness’ distribution was proposed for the case of some additional constraints. The critical velocity of the flow under different values of operation factors was obtained with tetramerous approximation using Galerkin method. Comparison of results was made.
Izvestiya MGTU MAMI. 2014;4(1-4):77-82
pages 77-82 views

Numerical simulation of the axisymmetric hydrolipoclasy of thin metal sheet, fixed on the contour

Petrov V.K., Sukhomlinov L.G.


The results of application the axisymmetric rigid-plastic membrane finite element model to the study of forming a thin contour fixed metal plate under hydrostatic pressure are outlined. A comparison with the known numerical solutions and experimental data is provided.
Izvestiya MGTU MAMI. 2014;4(1-4):83-87
pages 83-87 views

Quasi-static problem solution using Tomlinson’s model

Popova T.A.


The article considers the interaction of nanoparticle chains. With the help of specialized software experimental data were obtained allowing to solve the quasistatic problem with certain input parameters in nanotribology. During the research, it was found that the change in the number of atoms in a chain directly affects the acceleration of force oscillations. Furthermore, it was shown that during the increase of time of force action by the moving the chain a, represented by a sinusoidal function, the amplitude of the displacement increases.
Izvestiya MGTU MAMI. 2014;4(1-4):88-90
pages 88-90 views

Influence of pressure and temperature on thermal conductivity of limestone

Ramazanova A.E., Magdiev A.M.


The paper presents the results of experimental studies of the effective thermal conductivity of gas, water and oil-filled limestone samples under high pressures up to 400 MPa and temperatures in the range of 273-523 K. It is shown that the pressure leads to a nonlinear increase of the effective thermal conductivity of limestone and affects the nature of its temperature dependence.
Izvestiya MGTU MAMI. 2014;4(1-4):91-95
pages 91-95 views

Dissipation of energy in the interaction of an engineering object and base

Rozhdestvenskiy Y.V.


In this article the author investigates the question of energy dissipation during its transmission to the object or vice versa, from working object. Existing hypotheses of energy dissipation are considered and the results of their application are evaluated in terms of actual observable processes and phenomena. Dissipative function is conveniently represented as a positive-definite quadratic form of generalized velocities.
Izvestiya MGTU MAMI. 2014;4(1-4):96-99
pages 96-99 views

Prediction of residual life based on the results of diagnosis of full-scale constructions and continuous monitoring of their technical condition

Gusev A.S., Starodubtseva S.A., Shcherbakov V.I.


The article examines the prediction of the residual life on the results of diagnosis of full-scale constructions with continuous monitoring of their technical condition.
Izvestiya MGTU MAMI. 2014;4(1-4):100-104
pages 100-104 views

Extreme deformation of edge-fixed round steel plate under the action of a spherical punch which radius is much smaller than the radius of the plate

Mikhaylova V.L., Sukhomlinov L.G.


The paper outlines the results of application of an axisymmetric rigid-plastic momentless finite element model in investigation of the process of forming round steel plate by a spherical punch which radius is significantly smaller than the radius of the plate. The breaking of molded shell is predicted by computational model by strain localization. Numerical simulation results were compared with experimental data.
Izvestiya MGTU MAMI. 2014;4(1-4):105-110
pages 105-110 views

Comparative analysis of methods for calculating airlift units

Alekseyev D.P., Sheypak A.A.


In the paper the authors present a calculation of the characteristics of an airlift unit based on the methods of computational fluid dynamics (CFD). As a result of numerical simulation of unit operation its characteristics were received as well as the scalar distribution field of the gas phase. The basic methodologies for calculating airlift units such as Geyer method, a method developed in Donetsk National Technical University (DonNTU) and cfd-method are considered. A comparative analysis of the accuracy of these methods was conducted. It was shown that the results of calculations based on computational fluid dynamics and results obtained by the method of DonNTU are consistent with each other.
Izvestiya MGTU MAMI. 2014;4(1-4):111-116
pages 111-116 views

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