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³ , 32(108), 2010


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537.874
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The technique of analytical determination of the electromagnetic field, scattered by the small crack in the semi-unbounded body is developed. The scattered field components are determined as the field components of the equivalent electric dipole.
Key words: electric dipole, small parameter method, scattering, electromagnetic field, crack.

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517.956
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A combination of asymptotic approach and computational modeling is used for solution of problem to create the media with the prescribed electrodynamic characteristic, in particular, a refraction coefficient. The initial diffraction problem is considered under the assumptions ka<< 1, d >> a, where a is the size of the particle and d is the distance between the neighboring particles. Impedance boundary conditions are assumed on the boundaries of small particles. The results of numerical simulation show good agreement with the theory. They open a way to numerical implementation of the method for creating media with a desired refraction coefficient.
Key words: scattering by small bodies, asymptotic approach, refraction coefficient, numerical modeling.

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621.391:519.22
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The investigation results of mean least square estimate for periodically nonstationary processes -mathematical model of stochastic oscillations - are considered. The formulas for estimate statistical characteristics are analyzed. The examples of typical processes analysis are shown.
Key words: periodically correlated random processes (PCRP), mean, correlation function, least squares estimate, bias, variance.

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621.319:519.22
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Changes of the spectral characteristics of vibration signals from thin cracked blade with crack grows is analyzed in this article. The formulae for cross spectral densities estimates of signal's stationary components are derived.
Key words: vibration signal, spectral density, periodically correlated random process.

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535.361: 620.186
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The conditions of realisation of non-destructive express-analysis of polydisperse powder material's spatial mesostructure are considered. And the algorithms of reconstruction of mesostructure from diffuse reflected light characteristics are analysed. It is proposed to construct the algorithm on the base of the reverse Monte Carlo method with the direct Monte Carlo simulation of light propagation in medium represented with discrete-particulate model.
Key words: polydisperse powder materials, spatial mesostructure, non-destructive analysis, diffuse light reflection, algorithms of reconstruction.

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517.5(075.8)
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The possibility of decomposition of random variables in trigonometrically stochastic series is considered in this work. The coefficients of decomposition are deducted from condition of minimization of main square error of decomposition. The results of simulation of this decomposition are resulted.
Key words: generating random values, stochastic polynomial, characteristic function, minimum square error of decomposition.

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517.958:519.6
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Finite Element Method is most widely used to solve boundary value problems. However in the case of domains with complicated geometry, inhomogeneous and large-scale problems some special approaches are needed. The domain decomposition approach for parallel finite element solution of the problem of the theory of elasticity is presented in this study. The computational results of the investigation of numerical efficiency of the developed algorithm are given.
Key words: finite element method tearing and interconnecting (FETI), pseudo-inverse matrix, 2-D theory of elasticity problem, numerical experiments.

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UDC 621.3:004.94
P. Struzewski
NUMERICAL ESTIMATION OF ALUMINIUM SHEETS HEATING CAUSED BY ENERGY OF LIGHTNING STROKES
The article deals with the description of usage of developed numerical model for metal sheets temperature fields estimation for determination of aluminium plates temperature increase lability after direct lightning hits. The author proved that in the case of logarithmic coordinates application, there is an approximation possibility of every of graphical interpretations of relationships between the maximum temperature increase of aluminum sheet point opposite to the site struck by lightning and the time of main discharge, by two rectilinear sections.
Key words: lightning strike, aluminium sheet temperature, method of reflections.

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550.388.2
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The connection the infrasonic fluctuations in an atmosphere with seismic activity in some region for period 1997-2000 are considered in the work. The model of stationary random process is used for the analysis. The coordination spectral of the characteristics infrasound and seismic activity are shown for the given period of time. The analysis of researches shows change of a spectrum infrasound before earthquake.
Key words: atmospheric infrasound, seismic activity, acoustic channel of lithosphere-ionosphere connection, spectral density of infrasound envelope.

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519.718.2
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The paper is devoted to problem of failure intensity calculation for doubled repairable system with loaded redundancy. Failure intensity determination is suggested by using special method for extended Markov reliability model. The correctness for such approach is verified by Monte-Carlo method.
Key words: reliability, Markov analysis, rate occurrence of failures (ROCOF).

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520.272.5
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The results of observations of the solar eclipse on 1, August 2008 using digital radiometer on basis the decameter radio telescope URAN-3 are presented. The observations were performed using a technique of scanning the passing source by a fixed beam pattern of antenna. In culmination for the coordinates of the radio telescope URAN-3 obscuration of the Sun at optical wavelengths was 11,5%. Relations of integral flux of the Sun masked by the Moon to not masked has been obtained.
Key words: digital radiometer, solar corona, radio observations.

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004.93+519.2
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General conception of recognition of images with noises using nonrecursive digital filters is formed. The scheme of algorithm of correlated image recognition is proposed. The influence of recognition system parameters on the authentication of true identification of image with etalon is investigated.
Key words: pattern recognitions, not recursive digital filters, Cappellini window.

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004.9344
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An approach to find different types of a pattern brightness silhouettes which then are being replaced by polynomial coefficients of approximation functions is considered. Coefficients and silhouette diagrams of visual patterns were tested as image features for searching them in the databases.
Key words: visual pattern, brightness, silhouette, search.

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681.786: 535.41
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The model of a correlation signal for non-coherent speckles is offered and quantitative ratio between value of deformations and amplitude of cross-correlation peak with taking into account the dimension of non-coherent speckles and their quantities in an image fragment are established.
Keywords: non-coherent speckles, deformation, image fragment, cross-correlation.

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004.932
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The method for automation of the image segmentation of the metal grains and estimation of their characteristics was offered. The aim of the application is to assist the experts in locating of potentially grain cases for further analysis. The researches are carried out on different types of grains to approve the correctness of the proposed approach.
Key words: image segmentation, metal grains, Radon transfomation.

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004.932
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Generalized basic model for logarithmic image processing is investigated forimage enhancement problem.
Key words: morphologic transformations, image enhancement, logarithmic morphology.

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519.7
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Methods to evaluation of complex objects and processes and main areas of its application are considered. Necessity is substantiated and method of the search of unsatisfactorily function elements of complex systems on the base of multi parameters and multi criterion analysis of its behavior is proposed.
Key words: complex systems, methods of evaluation, parallel computations, supercomputers.

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519.681.5
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The parallel-consecutive approach to optimization of calculations for local estimation of quality of functioning of the complex dynamical systems is proposed. This approach is oriented on realization on universal parallel calculational means with common memory.
Key words: complex dynamical systems, local estimation, optimization of calculations, parallel computational means.

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519.688
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Method of paralleling task of parameters optimization of discrete dynamic models on massively parallel processors is proposed in this paper. Construct the block diagram of the algorithm, which allows a parallel implementation. Two methods for different areas of parallel algorithm are proposed.
Key words: parallel computation, massively parallel processors, discrete dynamic models, optimization method.

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004.932
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Method for construction of logarithmic type algebras is presented. Theorems, which are a base for receiving explicit of expression for addition and multiplication by real scalar operations, are proved. As basic element for construction of proposed algebras is function generator of analytic form. Examples for new logarithmic type algebras are shown.
Key words: algebra, triangular norm, uninorm.

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:21.06.2006