SUMMARY
SUMMATION OF TRIGONOMETRIC SERIES
OF CONVOLUTION TYPE
Kevanishvili G.Sh., Kotetishvili
K.V., Robitashvili A.G. and Chikhladze G.G.
Georgian Technical University
It is proved that the sum of trigonometric
series of convolution type 
is equal to 
, where 
under the condition 
, 
, while
the 
function is regular and single-valued in
the complex plane.
Keywords: series, Bateman’s
integral equation.
SUMMARY
Diffraction
of plane waves by N-layered grid of metallic cylinders
Kokilashvili L.G., Kevanishvili
G.Sh. and Kokilashvili G.L.
Georgian Technical
University
Diffraction of plane waves (l) by a big number of metallic cylinders of finite width (am/l is arbitrary, where am is the radius of the m-layer
cylinder). The distribution of the scattered field energy can be determined in
the same way as the transmission (B) and reflection (R) coefficients are
determined, which depends on the arrangement of cylinders in space. This
arrangement can be varied in two directions using parameters bm and lm (the cylinders are
infinitely long). This electrodynamic system can be considered as artificial
dielectric with arbitrary (variable) permittivity.
Keywords: N-layered grid, metallic cylinders, wave diffraction, artificial
dielectric.
THE MATRICES OF INFINITE SERIES OF COMPOSED ODD NUMBERS
Kokilashvili L.G. and Kokilashvili G.L.
Georgian Technical University
Abstract: The numbers 
for
natural odd numbers are presented. The tables for 
numbers corresponding to composed odd
numbers are given. The conditions of fulfillment of Goldbach hypothesis (for
even numbers) are considered.
Keywords: odd numbers,
series, matrix, Goldbach hypothesis.
On the computation of some integrals by the Gaussian
measure of exponentials of linear and quadratic functionals
Buadze
T.G., Sokhadze G.A. and Eremeishvili N.I.
Abstract. There is proved the
theorem allowing the computation of some integrals by the Gaussian measure of
exponentials of linear and quadratic functionals. Though proved for the fitted
Hilbert space, the theorem can be extended, with some modification, to the
abstract Wiener space as well.
Keywords: integrall
computation, Gaussian measure, linear functionals, quadratic functionals,
exponentials.
Summary
SUMMARY
Reflection properties of the transmitter with the
dielectric sandwich
Kevanishvili G.Sh. and Chuntishvivli I.I.
Georgian Technical University
The
reflection properties of two-layer dielectric transmitter based on variconds
(ferrodielectrics) were studied. There were determined the conditions under
which the transmitter provides the maximum reflection of the electromagnetic
energy falling on it.
Keywords: transmitter,
dielectric sandwich, reflection properties.
Analytical solution to the problem of nonstationary strain
of the spherical shell
Gegelashvili T.A. and Kipiani D.O.
Georgian Technical University
In
the framework of Timoshenko’s model, there was derived a set of three
equations for axisymmetric strain of the closed spherical shell taking up a
localized momental impact of normal pressure. The solution to the
initial-boundary problem is presented as infinite series in terms of Legendre
polynomials. The factors of those expansions fit the second-order equations
which are to be integrated at known initial conditions.
Keywords: shell,
nonstationary strain, Legendre polynomial, matrix.
SUMMARY
A method of saving the hop in brewing
Dzekonskaya
M.L.
Georgian
Technical University
Boiling of wort with hop is one of the methods
of extraction of hop components affecting the beer quality. The optimal
bitterness of beer is achieved at boiling of the wort for 1-2 hours (the
extraction of hop bitter substances makes up 20-70%). The hop is an expensive
raw material. In this article the sophisticated equipment containing the
ultrasonic device which provides saving of the hop is suggested. The ultrasonic
generator has the power of 1200W and the operational frequency of 100 kHz. There
was performed testing production of beer with the initial wort concentration of
11.5% and 13.0% depending
on the duration of hop extraction with the ultrasonic device and without
it. It was established that the use of ultrasonic equipment allowed increasing
the extractability of hemulone and, thus, saving the hop by 30%, i.e. reducing
the prime cost of beer. The duration of boiling of the wort was also decreased
(it made up 1 hour).
Keywords: brewing, hop, saving, ultrasonic device.
SUMMARY
Investigation of the properties of second-order three-component
simplex-GRiD DESIGNs with account for the errors of measuring instruments
Beraia N.O.,
Zedginidze I.G. and Modebadze T.Z.
Georgian Technical
University
In this article are studied the properties of
D-, A- and E-optimality of second-order simplex-grid Sheffe designs at using
the measuring instruments with certain inaccuracy for determination of
components. The simulation of various errors of measuring instruments was
performed by applying the random
numbers distributed by the normal law to the linear design coordinates. It was
established that the properties of D-, A- and E-optimality deteriorate to a
certain extent at the use of real measuring instruments.
Keywords: experiment design, simplex design,
accuracy, measuring instruments
SUMMARY
On a model of inflation
Bidjuk P.I., Gogoladze N.G. and Sokhadze G.A.
Kiev Technical University, Ukraine
A. Tsereteli Kutaisi State University
There
is proposed a model of inflation which considers for the volume of currency in
circulation, the current cost, the estimated cost and the indices of shady
economy. With account for random fluctuations in the model parameters, there is
derived the consequence of a decrease or an increase in the shady economy
index. Some recommendations on macroeconomy management are given.
Keywords: inflation, model,
random fluctuations.
Summary
the kinetic peculiarities of high temperature oxidation
of Fe-44%Cr-4%Al-1%Ni-0.3%Lа alloy
Kutelia E.R., Tsurtsumia O.O., Mikadze O.I., Demirkiran K. and Bulia P.B.
Republic Center
for Structure Researches of Georgian Technical University
F. Tavadze
Institute of Metallurgy
International black Sea University
The high temperature oxidation kinetics of the Fe-44%Cr-4%Al-1%Ni-0.3%Lа alloy at 12000C,
13000C and 14000С was investigated. It was established that the kinetics of decrease in the effective area of diffusion (φ) at 12000С and 13000С is maximum at the initial oxidation stages and after some time φ decreased to the minimum, which
remained practically constant at those temperatures. At 14000С, φ decreased to the minimum level for
the first
exposure hours by the exponential law. The scale growth at 12000С can be
described satisfactorily by the logarithmic oxidation law, and, at increasing
oxidation temperature up to 14000С, the scale growth mechanism is
described more precisely by the logarithmic law for the initial oxidation
stages. Using scanning electron microscopy (SEM) and X-ray analysis, the fine structure and the
composition of the developed scale at the temperatures from 12000С to 14000С were
studied as well.
Keywords: kinetics, high temperature oxidation, diffusion effective area, oxide scale
SUMMARY
kinetics of formation of nonpolar
triplet exciplexes
Kokrashvili T.A., Chabukiani L.V. and Kokrashvili A.T.
Georgian Technical University
The
kinetic and thermodynamic parameters of formation of nonpolar triplet
exciplexes at quenching of the triplet state of p-chloranil (CA) with methylated
benzenes were determined. It is demonstrated that 3CA forms triplet
exciplex-type complexes with benzene and some its derivatives in liquid
solutions.
Keywords: triplet exciplex, quenching, photoexcitation
SUMMARY
REVERSIBLE
CHANGE OF THE HELICAL PITCH OF CHOLESTERIC LIQUID CRYSTAL UNDER THE EFFECT OF
LIGHT
Aronishidze M.N., Petriashvili G.Sh., Tavzarashvili S.P., Tevdorashvili K.G., Chanishvili A.G., Chilaya G.S. and Chikhladze
T.M.
The parameters of cholesteric liquid crystals
can be controlled by irradiation with light if they contain conformationally
photoactive molecules. In this paper we investigate light-induced effects in cholesterics
with azoxy-based host material. A blue shift of the pitch by 150 nm was
observed depending on the exposure time and the intensity of light. The effect
is reversible under illumination. At wavelengths more than 410 nm, the
pitch shifts to the opposite
direction. The blue shift of the selective reflection band is due to both the decrease
in the order parameter and the concentration of nematic component.
Keywords: cholesteric
liquid crystals, trans-cis izomerization,
reversible photocontrol of pitch.
SUMMARY
On one application of
collinear transpormations
Chavleshvili G.N. and Khatiskatsi I.E.
Georgian Technical University
By
using the method of collinear transformations, there was resolved the position
problem of descriptive geometry, where the surface with an arbitrary
frontal outline and with similar or
similarly arranged elliptic sections and the prism projection on the plane were
given. The line of their intersection was found.
Keywords: collinear
transformation, descriptive ry, position problem.
SUMMARY
AN example of position
problem solution by using the quadratic transformation
Chavleshvili G.N. and Khatiskatsi I.E.
Georgian Technical University
A
position problem of descriptive geometry was solved by using the quadratic
transformation. The conditions of the problem assumed the rotation paraboloid
and the general-type cone, the top of which was located at the paraboloid axis
and the contour generating lines of the frontal outline made a right angle. The
line of their intersection was found.
Keywords: quadratic
transformation, position problem, descriptive geometry.
Optoelectronic switch device based
on GaP
Laperashvili T.A.,
Kaldani N.R. and Laperashvili D.L
Institute of Cybernetics
Department of Computer Science, Tbilisi
State University
Georgian Technical University
Abstract In this work
experimental results obtained from investigation current-voltage and
photoelectric characteristics of Optoelectronic Switch device based on high
resistivity (ρ=108 Ohm. cm) GaP with S-type volt-current characteristic are
presented. The switching on and switching off are available by both electric
and optical signal. The threshold voltage 31- 60 V and current 0.038 - 0.064 mA
at the switching condition were obtained and, holding voltage 6.5 - 24 V and
current 0.44 - 0.60 mA at room
temperature for samples with thickness 140 and 270 mm
respectively. They were lighting in green region of spectra at room
temperature, and in liquid nitrogen - yellow light. The devices were sensitive
to light with wavelength 560 nm (switching on) and 750 nm (switching off). The
theory double – injection of charge carriers is used for description
switching mechanism.
Keywords: optoelectronic switch, semiconductor,
double-injection.
SUMMARY
Technical
and Global economic aspects of energoinformation duality
Khvedelidze M.A.
Institute of Cybernetics
Georgian Engineering Academy
International Informatization
Academy
The possibility of application of psychokinesis to
remote control in the man-machine system is considered as an example of
technical use of the regularity of energo-information duality. There is
continued the analysis of energoinformation duality in economy with
consideration of new information on
the USA policy in reference to the dollar, which has become much more
complicated in recent years. In the author’s opinion, the existing
currencies should be replaced with energoinformation units of resources
existing in the Solar System, which would be the optimistic result of evolution
of human civilization on the Earth.
Keywords:
energoinformation duality, global economic issues
ON
OPtimistic Methods for Concurrency Control in DataBases
Kobiashvili
A.A. and Kutateladze R.G.
Georgian Technical University
Abstract. A method of controlling the concurrency among
database transactions by locking is discussed. The way out of the deadlock
caused by two or more transactions being in the simultaneous wait state is
proposed.
Keyword: database, concurrency, locking, transaction, wait state,
deadlock, inconsistency analysis
Data Traffic Model and
Performance Analysis in PLC Networks
Mirtskhulava L.G., Gvaramia E.G., Kiknadze M.G. and Jojua
N.M.
Georgian Technical University
Abstract: In this article, the
Markov-modulated Poisson process model is considered for voice traffic to
obtain the results for the voice
call blocking probability and the packet dropping probability. The Erlang-C
model is considered to obtain the mean packet delay.
Keywords:
PLC, OFDM,
MAC, Markov modulated Poisson process, Erlang-C model.
Formation of the optimal control task on soft landing
on the moon
Mosashvili I.O. and
Sesadze V.K.
Georgian Technical
University
Abstract. Studying the control
process in current time using multimedia facilities helps a student to imagine
the optimal control task and to resolve it in different ways. The task, which
is the best according to its high-speed response, represents the task of
designing the optimal trajectory. The task on soft landing on the Moon refers
to the above-mentioned tasks. In this task, the equation of artificial
satellite soft landing on the Moon is formulated with the initial conditions. The
functional describing the condition of exact performance of soft landing is
taken. The control mode with the
minimum speed and fuel consumption
in the process of soft landing has already been established.
Keywords: optimal
control, task, soft landing on the Moon, multimedia facilities.
Summary
About one individual
problem of mathematical modeling of control system element
Burkova I.V., Burjanadze V.O. and Gorgidze D.A.
Georgian
Technical University
V.A.
Trapeznikov Institute of Management Problems, RAS, Moscow, Russia
There is reviewed the boundary - contact
problem, which has arisen at mathematical modeling of a piezoelectric ceramic element of a control system device. In the
Cartesian system of coordinates xi(1,2,3), exact solutions of
boundary contact problems of the elasticity theory for a multilayered
rectangular parallelepiped are under construction. The offered method of the
solution for boundary contact problems can be applied to the solution of
corresponding problems for any orthogonal system of the coordinates possessing
the axis of shift.
Keywords:
elastic balance, transtropic multilayered rectangular
parallelepiped, exact solutions.
Summary
On a problem of planning of
manufacture of goods
Burkova I.V. and Burjanadze V.O.
V.A. Trapesnikov Institute of Management Problems,
RAS, Moscow, Russia
Georgian Technical University
There is discussed a problem of planning of
manufacture of goods, which is considered as a problem of integer linear
programming, and its solution by a method of dichotomizing programming is
suggested..
Keywords: manufacture, goods,
planning, cost, dichotomizing programming
Summary
on
formalization of the models of dialog management of production on the basis of
fuzzy multiplicIties
Areshidze G.T.,
Garsevanishvili T.G., Mchedlidze M.G. and Churchelauri B.G.
Georgian Technical
University
The results of the analysis of the methods of formalization of the
models of dialog management of production on the basis of fuzzy multiplicities
are presented. There is described a dialog procedure of resolution (resolving
rule) providing the realization of both well-structured and poorly structured
tasks. In this case, for formalization of the economic state of enterprise
functioning there is proposed the
vectror of resolving system describing the multiplicity of structures and
parameters of the model in a fuzzy way.
Keywords: management of production, dialog mode, fuzzy model, economic state.
SUMMARY
ANTISUBLIMATION PROTECTION FOR THE ARMS OF THERMAL
ELEMENTS ON THE BASES OF PbTe alloy
Basaria F.P.,
Bokuchava G.V., Sherozia V.A. and Salukvadze Z.R.
Ilia Vekua Sukhumi Institute of Physics and Technology
There
was selected the optimal variant of chemical composition for glass/enamel
coatings providing strong antisublimation protection for thermal electric
material PbTe of n-type at working temperature of 350-5000C. It was determined
that the high level of antisublimation protection of the above semiconductor
alloy is conditioned by the “soft” state (viscosity ~106-1011Pa)
of the glass/enamel coating at working temperature of the thermal electric
converter.
Keywords: thermal electric
material, semiconductor alloy, thermal element arms, glass/enamel coating,
antisublimation properties, thermal electric converter.
SUMMARY
The effect of channel processes on the STABLE stream slope
Kukhalashvili
E.G., Inashvili I.D. and Kruashvili R.V.
Georgian State
Agricultural University
As a result of analysis of testing data obtained at various channels of
reclamation purpose, there were constructed the models which allowed deriving
the design relations of stable channel width. By comparison of those relations,
the design relation of stable slope was obtained. The derived relations enable
us to compute the stable stream slope with consideration both for its forming
flow discharge and physical-technical characteristics of the ground.
Keywords: channel, water stream, stable slope, channel width.
SUMMARY
analytical numerical method
of determination of gas leak at the gas main section
Ingorokva D.A.
Georgian Technical University
There
is proposed an analytical numerical method of determination of gas leak at the gas
main section. The method is based on the analytical solution to a set of
differential equations describing the motion of real gas in the pipeline. The
obtained solution is set equal to the stabilization pressure and is resolved by
the numerical method in reference to the stabilization time; the time value is
compared with the real time. The proposed method is distinguished by both the
simplicity of computation and the practical availability. This method
contributes to stable gas transportation by pipelines and favorable
environmental conditions.
Keywords: gas main, gas leak,
numerical method.
SUMMARY
Investigation of geometric
parameters of the inner surface of operating gas main
Namgaladze D.P. and Ingorokva D.A.
Georgian Technical University
In
spite of insulation coatings, underground gas mains are subjected to corrosive
wear which could be described as gradual loss of metal under the environmental
impact. After statistical processing of large-scale data, there were determined
the correlation coefficients among the geometric parameters of corrosive
cavities and the empirical relations providing the determination of the maximum
diameter of corrosive cavities and the distance between the corrosive cavities
along the pipe and in its cross-section, depending on the cavity depth.
Keywords