GENERALIZED GEOMETRIC LATTICES AND ASSOCIATED GEOMETRIES

Rostomashvili Z.N.

The present article is an attempt to investigate one of the main problems of the algebraic theory of geometry, namely-to study special generalization of geometric lattices for the submodule lattice of the free module over the principal ideal domain. The authors tried to generalize issues of symmetry in D-geometric lattices, and to give the axiomatic description of those geometries, which are associated with the D-geometrical lattices.

Keywords: geometry, geometric lattices, structure, symmetry.

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СРАВНИТЕЛЬНЫЙ АНАЛИЗ ВЫЧИСЛИТЕЛЬНОЙ УСТОЙЧИВОСТИ ОБОБЩЕННЫХ РАЗЛОЖЕНИЙ

Элизбарашвили М.И.

Грузинский технический университет

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ON THE EFFECT OF AN UNSTABLE EXPANSION OPERATOR ON THE RECOVERY SIGNAL

Elizbarashvili M.I.

Georgian Technical University

When using the multiple trigonometric Fourier series concerned with expansion coefficient calculation, there arise the errors that can significantly affect the accuracy of multidimensional signal recovery depending on the expansion operator stability. In this connexion the problem of the multiple trigonometric Fourier series stability for various metrics at determinate errors is considered. The analysis of simulation results, that corraborates the validity and the applicability in practice of theoretical conclusions, has been carried out.

Keywords: expansion operator, recovery signal, Fourier series, stability.

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ALGORITHM OF LAPLACE NUMBER TRANSFORM CALCULATION OF NONSTEADY TEMPERATURE FIELDS

Buksianidze A.A. and Kipiani D.O.

Georgian Technical University

The algorithm of Laplace number transform is used for calculation of nonsteady temperature fields. When solved by steps, the problem of Laplace transform is reduced to solution of rather simple linear equations, and can be used for calculation of temperature fields at points number from 10² to 10⁴, as well as for solution of the problems in which boundary conditions change by steps. The obtained temperature field and its image provide for solving the disconnected problem of thermal elasticity.

Keywords: nonsteady temperature fields, calculation.

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EVALUATION OF ALGORITHM CONVERGENCE, ITERATION STEPS NUMBER AND MAXIMUM SECTION LENGTH

Buksianidze A.A.

Georgian Technical University

Algorithm convergence is evaluated using series. It is shown that the iteration steps number depends on the section length, though it can also depend on the matrix structure. It should be noted that by increase in the iteration steps number the value of integrals appearing in the corresponding equation can also increase, that may result in convergence worsening.

Keywords: algorithm convergence, iteration, section length.

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МЕТОД МОМЕНТОВ В ТЕОРИИ РАСПРОСТРАНЕНИЯ ИМПУЛЬСОВ В НЕСТАЦИОНАРНЫХ СРЕДАХ

Джандиери Г.В., Кеванишвили Г.Ш., Джабнидзе И.Н.

Грузинский технический университет

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PULSE SIGNAL SCATTERING IN A NONSTATIONARY MEDIUM AT STRONG FLUCTUATIONS OF DIELECRTIC PERMITTIVITY

Jandieri G.V., Jabnidze I.N. and Gomidze N.Kh.

Georgian Technical University

Scattering of pulse signal in a turbulent medium at large-scale dielectric permittivity fluctuations has been considered using Chernov’s local method. An analytical expression for the running power spectrum has been obtained. Numerical calculation also has been carried out.

Keywords: pulse signal, nonstationary medium, two-dimensional spectrum density

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ON THE THEORY OF AN INSULATED SYMMETYRICAL ANTENNA

Kevanishvili G.Sh., Kokaia P.V. and Kotetishvili K.V.

Georgian Technical University

A strict theory of a thin active symmetrical insulated antenna has been developed. Correct solution of the Wu integral equation for the line current density at the antenna surface has been obtained. The presented solution satisfies the ''rib condition''. A new expression which characterizes the antenna directivity has also been obtained.

Keywords: symmetrical antenna, integral equation, antenna directivity.

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ON THE THEORY OF LINEAR ANTENNA SYNTHESIS

Kevanishvili G.Sh., Kokaia P.V. and Kotetishvili K.V.

Georgian Technical University

A closed solution of an inverse problem for linear antennas is presented.

Keywords: antenna, integral equation, radiation, pattern.

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STABILITY EQUATIONS FOR MULTILAYER PLATES IN FINITE DIFFERENCES

Kvaratskhelia A.V.

Georgian Technical University

Stability equations for multilayer plates loaded in their plane by normal and tangential forces are offered.

Keywords: multilayer plates, stability equations.

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CALCULATION OF LAYERED SLOPING PANELS UNDER LATERAL PRESSURE

Gardapkhadze M.M. and Kipiani G.O.

Georgian Technical University

The three-layer sloping panel (a regular hexahedron inscribed into a circle) which is loaded with uniform internal pressure and is ununiformly heated in thickness is considered. It is shown that at negative temperatures and at contour being rigidly fixed significant extending forces arise in the panel (the contour ''creeps''). Calculations for specific boundary conditions have been performed.

Keywords: layered sloping panel, pressure, calculation.

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PREDICTION OF GEOMETRIC CHARACTERISTICS OF INITIAL (SEISMOTECTONIC) RESIDUAL DEFORMATIONS ON THE GROUND SURFACE OF WATERSHEDS

Danelia R.V. and Gvelesiani T.L.

Georgian State Agrarian University

The functions for determination of maximum vertical displacement D_max, which can be used at constructing hydraulic works, are offered. The calculation eqations for determination of the maximum rate of the slide when it approaches the basin bottom, the slide motion period, the slide path length, the friction coefficient, and the maximum and the average values of ground displacement have been obtained.

Keywords: watershed, ground, deformation, calculation.

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PREDICTION OF DYNAMIC PARAMETERS OF CONSEQUENT (BLOCK) SLIDES ALONG BANK SLOPES AND A BASIN BOTTOM

Danelia R.V, Gvelesiani T.L. and Berdzenashvili G.L.

Georgian State Agrarian University

Calculation equations for determination of the maimum rate of the slide when it approaches the basin bottom, the period of slide motion along the slope and the basin bottom, and the distance covered by the slide along the basin bottom are offered. The results show that, when bank slopes are creep, the slide volume slightly affects the maximum slide rate, while at small slopes (less than 35-40⁰) this effect becomes rather significant.

Keywords: slide, bank slopes, basin bottom, dynamic parameters, calculation.

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РАСЧЕТ КАНАТНОЙ СИСТЕМЫ ВАНТОВОЙ ДОРОГИ

Хатиашвили К.В.

Институт горной механики

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ПРИМЕНЕНИЕ МЕТОДА МОНТЕ-КАРЛО ДЛЯ ОЦЕНКИ ДОПУСКАЕМОГО КОЛИЧЕСТВА ЛЕЩАДНЫХ ЗЕРЕН В КРУПНОМ ЗАПОЛНИТЕЛЕ БЕТОНА

Самхарадзе З.З.

Грузинский технический университет

Учитывая вероятностный характер факторов, влияющих на структуру и прочность бетона, сочтено целесообразным использование метода Монте-Карло.

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A METHOD OF EVALUATION OF THE PERMISSIBLE PART OF FLAT GRAINS IN THE CONCRETE COARSE AGGREGATE FOR WATERWORKS THIN-WALLED CONSTRUCTIONS

Samkharadze Z.Z.

Georgian Technical University

The part of flat grains in the concrete coarse aggregate for waterworks thin-walled constructions can be dangerous due to a harmful effect on the concrete structure. The permissible part of flat grains in the coarse aggregate is evaluated.

Keywords: concrete, gravel, coarse aggregate, flat grains, thin-walled constructions.

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AN INDUSTRIAL METHOD OF COARSE AGGREGATE CLEARING OF FLAT GRAINS

Samkharadze Z.Z.

Georgian Technical University

An original construction for industrial clearing of the coarse aggregate of flat grains is presented. In the installation band conveyers inclined in transverse direction are used.

Keywords: concrete, gravel, coarse aggregate, flat grains, gravel sorting, band conveyer.

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ON THE PROBLEM OF DETERMINING PHYSICAL VALUES IN DYNAMICS

Bakradze G.G. and Arutjunov G.K.

Training and Research Institute of Standartization and Metrology

A method of determination of physical values in dynamics by the output signal of a measuring transducer and its derivatives is presented.

Keywords: determination of physical values, accuracy.

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ELECTROOPTIC EFFECT FOR SURFACE (001) GaAs

Minashvili T.A., Berkovitz V.L., Iluridze G.N. and Davitadze K.D.

Georgian Technical University

Study of the electrooptic effect for surface (001) GaAs shows that the D R/R anisotropy signal is caused by two mechanisms. The first one is connected with the linear electrooptic effect induced by near-surface electric field E_S in the region of the transitions E₁ and E₁+D ₁. The effect depends on the doping level, and is detected at impurity concentration N10¹⁶ cm^-3.

Keywords: semiconductor, gallium arsenide, optic effect, surface.

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ON THE PROBLEM OF DEVELOPMENT OF POLYMERIC ASPHERICAL LENSES-CONCENTRATORS

Avaliani Z.J., Kibler S.R. and Kordzakhia I.I.

Tbilisi Research Institute "Optica"

Polymeric aspherical lenses of various diameters were developed. Their bench tests together with Fresnel lenses (Phillips) were carried out. It is shown that application of solar radiation optical concentrators improves the efficiency of photovoltaic power plant and decreases the cost of generated electric power.

Keywords: optical concentrators, polymeric aspherical lenses.

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ON THE PROBLEM OF TRUE HEAT CAPACITY OF MAGNESIUM-CONTAINING FERRITES IN THE 300-900 K TEMPERATURE RANGE

Samadashvili I.J., Varazashvili V.S. and Machaladze T.E.

R. Agladze Institute of Inorganic Chemistry and Elecrochemistry

Mixed magnesium-containing ferrites were synthesized by formula Mg_1-XZn_XFe₂O₄ at various x. Their true heat capacity in the 300-900 K temperature range was measured. The heat capacity of the samples having x=0.2; 0.4; 0.6; 0.8 was measured for the first time.

Keywords: magnesium-containing ferrite, heat capacity.

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THE EFFECT OF THE NATURE OF PHASE TRANSFER CATALYSTS ON THE AZO COUPLING REACTION RATE

Elizbarashvili E.N., Tanasova M.M. and Chirakadze G.G.

GeorgianTechnical University

The effect of interphase catalysts nature on the azocoupling rate of diazo- and azocomponents with various activity has been studied. Optimal conditions of azodyes synthesis under non-traditional conditions of their formation, azocoupling reaction rates and product output have been determined. It is shown that application of TBBSNa provides for improving the conditions of dyes synthesis.

Keywords: dyes, synthesis, azocoupling reaction, interphase catalysts.

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СПЕКТРОФОТОМЕТРИЧЕСКИЙ МЕТОД КОЛИЧЕСТВЕННОГО ОПРЕДЕЛЕНИЯ СУММЫ АЛКАЛОИДОВ В МЕДЕ

Муджири Л.А., Китиашвили Э.Г., Хоситашвили М.Л.

НИИ садоводства, виноградарства и виноделия

Разработан спектрофотометрический метод количественного определения суммы алкалоидов в меде. Метод включает в себя экстракцию хлороформом подщелоченного меда, отгонку растворителя, разбавление суммы алкалоидов в этаноле с последующим спектрофотометрическим определением оптической плотности растворов при l =280 нм. От полученной величины оптической плотности опытных образцов находят количество суммы алкалоидов в таблице. Результаты математической обработки разработанного метода показали, что относительная погрешность среднего результата составляет 1,83%.

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A METHOD FOR QUANTITATIVE DETERMINATION OF ENDOGENOUS COMPLEX BIOPOLIMERS IN WINE

Mujiri L.A., Kokiashvili G.G. and Mamardashvili N.G.

Research Institute of Horticulture, Viticulture and Wine-Making

A spectrophotometric method for quantitative determination of endogenous complex biopolymers in wine has been developed. The method consists in treatment of condensed wine samples with various organic solvents, subsequent solution of the precipitate in 10% ethanol and its spectrophotometric analysis at optical density l =540 nm. By the obtained value of the wine sample optical density the quantity of complex biopolymers is to be found in the table.

The results of mathematical processing of the developed method show that the relative error of the average result is equal to 2.46%.

Keywords: complex biopolymers, optical density, spectrophotometer.

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STUDY OF THE GENERAL CHEMICAL COMPOSITION OF GEORGIAN BERRIES

Chitadze I.I., Bagashvili I.B. and Mujiri L.A.

Research Institute of Horticulture, Viticulture and Wine-Making

The general chemical composition of Georgian wild-growing berries has been studied. The materials under investigation were berries, branches and leaves of raspberry, blackberry, blueberry, rowan-tree, guelder rose, elder, barberry, red currant, blackthorn, howthorn (red and black) and dogrose. Using chemical and chromatographic methods, lipids, dyeing and extractive substances, carbohydrates, nitrogen and phenol compounds, and organic acids were investigated. The study has shown that the Georgian wild-growing berries and the extracts made on their base include a wide range of biologically active substances. Due to that they can be used for producing various drinks of high biological value and other food stuffs.

Keywords: lipids, phenol and nitrogen compounds, berries, chromatography.

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ИССЛЕДОВАНИЕ ХИМИЧЕСКОГО СОСТАВА БУКЕТА ГРУЗИНСКОГО ''ВИСКИ'' (III)

Чекуришвили Г.О., Бежуашвили М.Г.

НИИ садоводства, виноградарства и виноделия

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IDENTIFICATION OF TRANSRESVERATROL IN SOME RED GRAPES

Kokhtashvili M.G. and Bezhuashvili M.G.

Research Institute of Horticulture, Viticulture and Wine-Making

Transresveratrol has been identified in some red grapes (Saperavi, Kaberne, Otskhanuri sapere and Tavkveri) using a combined method of chromotatography and mass spectrometry. It has been established that the identified compound is mainly located in grape skins.

Keywords: grapes, transresveratrol, identification.

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THE PROBLEM OF BELONGING IN BICENTRAL PROJECTIONS OF THE R₃ SPACE USING AUTOLISP

Iashvili N. S.

Tbilisi State Academy of Arts

The problem of three – dimensional space belonging in bicentral projection is considered. The problem has been solved using computer language Autolisp which makes it possible to simplify the graphical design process.

Keywords: bicentral projections, photogramametry, Autolisp.

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ON THE PLACE AND FUNCTIONS OF ACTIVE TEACHING METHODS

Tomadze N.M.

Sulkhan – Saba Orbeliani Tbilisi State Pedagogic University

The comparative analysis of using active teaching methods by pedagogs and psychologists was carried out. The try to stimulate in students both thinking process and interest, but by different ways was made. Pedagogs tend to use interactive methods (dialog, discussion), psychologiists use mainly problem lectures and modelling of pedagogical situations.

Keyword: active teaching methods.

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ИНЖЕНЕРНЫЕ РЕШЕНИЯ ПОВЫШЕНИЯ ЭФФЕКТИВНОСТИ ВАНТОВОЙ КАНАТНОЙ ДОРОГИ

Хатиашвили К.В.

Институт горной механики

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ИССЛЕДОВАНИЕ РЕДОКС РЕАКЦИИ МЕЖДУ [CO(NH₃)₅HAl]²⁺ И АТОМОМ ВОДОРОДА В РАМКАХ КВАЗИ-ПНС-МАТРИЧЕСКОГО МЕТОДА.

Мачхошвили Р.И., Чачава Г.Г., Гвердцители М.И., Чачава Г.Н.

Педагогический университет им. Сулхан-Саба Орбелиани

Тбилисский государственный университет им. И. Джавахишвили

Проведено алгебраическое исследование редокс процессов между [Co(NH₃)₅Hal]²⁺ и атомом водорода в рамках квази-ПНС-матрического метода. Диагональными элементами ПНС-матриц являются порядковые номера атомов химических элементов, недиагональными - кратности химических связей.

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АЛГЕБРАИЧЕСКО-ХИМИЧЕСКОЕ ИССЛЕДОВАНИЕ РЕДОКС РЕАКЦИИ МЕЖДУ [Co(NH₃)₅Hal]²⁺ и Cr²⁺

Мачхошвили Р.И., Чачава Г.Г., Гвердцители М.И.

Педагогический институт им. Сулхан-Саба Орбелиани

Tбилисский государственный университет им. И. Джавахишвили

Проведено алгебраическое исследование кинетики редокс процессов между [Co(NH₃)₅Hal]²⁺ и Cr²⁺ в рамках квази-ПHС-матричного метода. Диагональными элементами ПНС-матриц являются порядковые номера атомов химических элементов, недиагональными - кратности химических связей.

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ON SOME RESULTS OF APPLICATION OF ACTIVE TEACHING METHODS

Imedadze N.V. and Tomadze N.M.

Sulkhan – Saba Orbeliani Tbilisi State Pedagogic University

In present work 3 types of effects of active methods are distinguished: mnemic (recall of material), situational (immediate interest towards topic) and personal (new attitudes). The attempt to assess these effects on the students of pedagogical university was made.

Keywords: active methods of teaching, mnemic effects, situational effect.

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