IKBFU's Vestnik

Physics, mathematics, and technology

Mathematical Modeling

Numerical simulation of wave processes in multilayered materials at dynamic external influence

Abstract

The collision of polymer composite parts with a steel hammer is simulated using grid-characteristic method. To verify the method a comparison with analytics for distribution of spherical explosion in a homogeneous medium is given. The potential fracture zones in composite parts are analyzed.

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Teoretical nonstationary two-dimensional modal with altitude-longitudinal variations of ionosphere parameters

Abstract

By means of mathematical two-dimensional nonstationary model mechanisms of formation of longitudinal effect in a middle-latitude ionosphere are probed and is shown that one of main engines is the thermosphere wind in combination with earth magnetic field geometry. Model calculations of dependence of longitudinal effects in middle-latitude F-area from levels of geomagnetic and solar activity are carried out. It is shown that with increase in a geomagnetic disturbance the behavior of electronic concentration as a whole corresponds to the negative phase of a substorm. However, in some longitudinal sectors increase of electronic concentration that is explained by hobby of ionospheric plasma for a termosphere wind is watched. Thus DYE amplitude is supervised by changes of absolute value, amplitude and a phase of longitudinal profiles of the meridional and zonal components of speed of a neutral wind. To growth of solar activity there is an increase in electronic concentration in a maximum of F2 of a layer, also inc reases hmF2.

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2D modeling of ion shadow behind a charged satellite by the method of molecular dynamics

Abstract

It was considered a two-dimensional model of the interaction of a charged micro satellite and thermal plasma. The method of molecular dynamics used as a modeling method. Ion concentration distributions near SC were calculated for 10 and 102 protons in cm2 and the two values of relative satellite velocity and plasma were considered — 8 and 20 km s-1, respectively. It is shown that an increase in velocity and concentration of particles of ion shadow behind the satellite becomes more expressed.

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Differential geometry

Semiholonomical, holonomical and trivial spaces of affine connection

Abstract

In n-dimensional space of affine connection An,n with Cartan’s structure equations Ricci’s and Bianchi’s identities were received. Their invariance has been shown. After prolongation of the structure equations using Laptev’s lemma semiholonomical, holonomical and trivial manifolds are defined. The Ricci’s identities allowed us to prove semiholonomicity of the space An,n. This semiholonomicity preserves in the space without torsion A’n,n and in the space without curvature ‘An,n , besides the locally affine space Ά’n,n is trivial. Tensor of non-holonomicity of the space An,n is introduced. Vanishing of this tensor makes the space holonomic, H n n A . Also curvature tensor of associated space of affine connection without torsion A’n,n was introduced. It’s vanishing characterizes trivial space of affine connection, Tn n A .

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Introduction to a theory of regular hyperband distribution of an affine space

Abstract

Regular hyperband distribution of an affine space (H-distribution) is given and its existence theorem is proved. Conditions of holonomic H-distribution is determined and Bompiani—Pantazi bijection between the first kind normal and the second one for associated with H-distribution H-, Λ- and L-subbundle is introduced.

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Covariant differentials and covariant derivatives associated with surface of projective space

Abstract

The paper is concerned with m-dimensional surface in n-dimensional projective space. In studying fundamental-group connection Bianchi identities are found. It is proved that alternated covariant derivatives for the components of the first type connection object are equal to the corresponding components of the curvature tensor, and the ones of the third type vanish.

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Intrinsic clothing of a family of hyperplane elements with envelope surface of centers

Abstract

In multidimensional projective space a family of hyperplane elements with envelope surface of centers is considered. The problem of construction of invariant clothing intrinsically attached to such a family intrinsically is set. This problem is solved in a special case characterized by vanishing of a certain tensor. The solution is based on the method of moving frames and calculation of exterior differential forms of E. Cartan.

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Artificial Intelligence

Perspective heat supply operation buildings of multiple parameters

Abstract

A promising concept for managing the work of heat-paragraph shall ated microdistrict from several houses is described. The possibility of an adaptive optimal control of several parameters — temperature, ambient air, the dynamics of change, direction and speed of wind, sun exposure facade.

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The method of zero-moment point for the problem of dynamic stabilization AR-600. Moving AR-600 at the site

Abstract

The Method of Zero-moment point is considered. The basic formula to help you find point ZMP are development. A variant of applying this method is considered. The sequence of commands for task biped robotic system are described. A variant of the introduction drivers in Robot Operating System are considered.

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Physics and radiophysics

Generation of exact solutions of Fridman equations leading to Cardy–Verlinde formula by Darboux transformation

Abstract

It is considered a possibility of generation of exact solutions for Friedman equations by Darboux transformation, for which Cardy — Verlinde formula is valid. Two modifications of Darboux transformation are offered, which let generate such solutions. Exact solutions are obtained, for which Cardy — Verlinde formula is valid at least near some singularities.

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Features of practical implementation of the system of control over the design process within CAD CS complex technological objects

Abstract

The main problems the process control system design control of complex objects in CAD. The main structural solutions and implementation features of subsystems and modules developed by managing complex УК-01. The problems of the universality of the Criminal Code with respect to data sources, build and implementation of the original information and special software УК-01.

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Effect of change in density of compact and spongy bone tissue on the stress and strain state of the bone model samples

Abstract

Influence of change of density of compact and spongy bone tissue on the stress and strain state of model samples of the bone. Modeling of the stressstrain state of the bone tissue was conducted in the software package ANSYS using finite element method. It is revealed, that change of density of a spongy component of sample leads to change of a prevailing type of deformation influencing on distribution of stress and strain.

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Method of analysis of electromagnetic safety of radio electronic means by external handicaps

Abstract

The approach to the analysis of electromagnetic safety of radio electronic means based on is frequency the limited models of the characteristic of spectral density of power of a source of handicaps and characteristic frequency selectivity receptor of handicaps is offered. For a complete rating of electromagnetic safety the integrated criterion including power criterion and criterion of blocking is offered. The power criterion takes into account the contribution of separate radiations of sources of handicaps to total power of handicaps, and also contribution of power of products intermodulation, caused by effect intermodulation in receptor of handicaps. The criterion of blocking takes into account the contribution of partial of factors of blocking from separate sources of handicaps.

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Informatics and mathematical geophysics

Application of managing structures for the organization of adaptive computing process of modeling of dragline rehandling

Abstract

The network structure of formalization of the technological scheme of mining operations by dragline was offered. The adaptive algorithms based on CASE-statements and run-time libraries are applied to carrying out mathematical calculations under control of similar structure. Division of calculate modules into a number of stages—formation of tables of basic data, a formation of tables of operating variables, calculation and record of resultant parameters and geometry in tables was proved.

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Quantative characteristics of the CSP method

Abstract

The quantitative characteristics of the CSP method, which poses to estimate its effectiveness for fracture hydrocarbon reservoirs imaging using scattered seismic waves, are defined and investigated. The most important is the sensitivity coefficient, which shows how small diffractors, compared with the shadowed reflectors, may be to be detecting by the CSP method. These dependencies from acquisition geometry and other parameters are numerically studied.

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An algorithm of wave equation datuming

Abstract

The article describes the wave equation datuming is the procedure in seismic exploration that used for removing of the influence of Weathering Velosity Zone. It means transform the wave field at free boundary to some level below that Zone. Numerical procedure for solving this problem based on reverse time wave continuation. The new thing is that we cut of the ghost waves using characteristics. The results of numerical modeling are represented.

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Power rating of flares power burning associated gas by processing satellite images MODIS

Abstract

Described modified method for estimating flares power of burning associated gas by processing satellite images MODIS. The program complex estimates associated flared gas volume for a given torch unit and licensed areas within the selected calendar periods. The methodology and software system tested for the most powerful oil fields torch units in Western Siberia. Investigations held by us have shown that exceeding of the calculated data as compared to report information is up to 2 times.

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Efficiency of the CSP technology using in Caspian region (on the example of the North Akkar oilfield)

Abstract

For the first time in the fields of the Caspian region was used the CSP technology, which makes it possible to extract the scattered waves from the full wave field. One the basis of scattered waves sections and map analysis had made the forecast of fracture cavernous reservoirs in carbonate Triassic sediments of the North Akkar oilfield. Confirmation of the executed forecast allows to recommend this technology for mapping non conventional fracture-cavernous reservoirs on other fields of the Caspian region.

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Other papers

Problems of information security of the firm (manufacture) and a way of their decision

Abstract

Problems of information security of the firm (manufacture) are considered. Their decision assumes studying of forms, ways and methods of revealing and the danger prevention in information sphere, and also the optimal control of system of maintenance of information security and a rational choice of protection tools of the confidential information.

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