ON THE PROBLEM OF THE FOURIER-RADEMACHER UNSTABLE MULTIPLE SERIES EFFECT ON THE RECOVERY SIGNAL

Elizbarashvili M.I., Beridze A.P. and Davitashvili P.G.

Georgian Technical University

Some problems of evaluation of the operator of multidimensional signal expansion into Fourier-Rademacher series at determined errors are considered. The results of modeling the unstable operator effect on the recovery signal are presented.

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

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ON THE FOURIER-RADEMACHER MULTIDIMENSIONAL SERIES STABILITY AT STOCHASTIC ERRORS

Elizbarashvili M.I., Beridze A.P. and Davitashvili P.G.

Georgian Technical University

Some problems of stability evaluation of the operator of expansion into the Fourier multiple series by the Rademacher function system when expansion coefficient calculation errors are stochastic in character are considered. In some cases the agreement between the results obtained for one-dimensional and multidimensional series is noted.

Keywords: multidimensional series, stability, stochastic error, expansion operator.

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DIFFRACTION OF A PRINCIPLE WAVE OF A RECTANGULAR WAVEGUIDE ON TWO "WINDOWS"

Jimsheleishvili I.O., Dekanosidze Sh.V. and Zamtaradze G.G.

Georgian Technical University

A problem of principle wave diffraction of a rectangular waveguide (H₁₀) on two "windows" is considered. A dual infinite system of algebraic equations has been obtained.

Keywords: rectangular waveguide on two "windows", diffraction, principle wave.

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ELECTRIC ELASTICITY BOUNDARY PROBLEMS FOR A CYLINDRICAL SECTOR MADE OF A PIEZOCERAMIC MATERIAL

Gorgidze D.A.

Institute of Applied Mathematics of Tbilisi State University

A class of boundary problems of the electric elasticity theory for a cylindrical sector made of piezoceramic material, the solutions of which take the form of elementary functions, is considered. Bessel functions, the index of which is a semi-whole number, appear in the solutions of the mentioned problems.

Keywords: electric elasticity, boundary problems, cylindrical sector, elementary functions.

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ОБ ОДНОМ ПРЕДСТАВЛЕНИИ ОБЩИХ РЕШЕНИЙ УРАВНЕНИЙ ЭЛЕКТРО-УПРУГОСТИ В ДЕКАРТОВОЙ СИСТЕМЕ КООРДИНАТ

Горгидзе Д.А.

Институт прикладной математики Тбилисского государственного университета

им. Ив. Джавахишвили

В декартовой системе координат получены общие решения для основных уравнений электроупругости, которые применимы для решения конкретного класса граничных задач.

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ELECTRIC ELASTICITY EQUILIBRIUM OF A THICK PIEZOCERAMIC PLATE

Gorgidze D.A.

Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University

Keywords: electric elasticity, thick piezoceramic plate.

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CARRYING CAPACITY ESTIMATION OF A SLOPING COMPOSITE SHELL

Tskhvedadze R.M.

Georgian Technical University

The functions of a kinematically admissible velocity field of a rotation shell with intermediate hinges have been derived.

Keywords: shell, carrying capacity, velocity field, calculation.

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ADAPTIVE VIBRATION DAMPING IN INDUSTRIAL SYSTEMS

Kostava B.A.

Kutaisi Technical University

An approach to determination of the mathematical model order for large industrial (mechanical) systems with the help of a orthogonalization procedure based on a lattice filter is proposed. Dynamics of each mode is described by an autoregression moving average (ARMA) equation, the parameters of which are estimated by a recursive identification procedure. The adaptive control system structure was developed on the base of a lattice filter and a modal controller, that minimizes the output signal variance. The results of computer modeling show the high effeciency of the presented vibration damping algorithm.

Keywords: vibration damping, industrial systems, lattice filter, controller, computer modeling.

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ПРОБЛЕМА РОБАСТНОСТИ ПРИ ОЦЕНКЕ ОТКАЗОВ ТЕХНИЧЕСКИХ СИСТЕМ НА ОСНОВЕ МОДЕЛЬНОГО ПОДХОДА

Костава Б.А.

Кутаисский технический университет

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MATHEMATICAL MODEL OF LOAD TRANSPORT AND LITTORAL DRIFT

Tvalchrelidze A.K., Saginadze I.S., Adamia G.K. and Bregvadze A.V.

Kutaisi Technical University

A mathematical model of load transport and littoral drift was constructed basing on fundamental laws of continuous media mechanics and heterogeneous media mechanics. The model takes account of the peculiarities of the Black Sea coast of Georgia.

Keywords: mathematical model, load transport, littoral drift.

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ON ADAPTATION OF A SIX-LEGGED WALKING ROBOT TO SUPPORTING SURFACE IRREGULARITIES

Machavariani G.A.

Institute of Cybernetics

Basic possibilities of designing the self-contained regulators, that are primary elements of the lowest level control of a walking robot, are considered. To control the six-legged walking robot locomotion process, for each leg three types of regulators, which ensure the adaptation of the robot to supporting surface irregularities, are used. The regulators are: the regulator for front carrying-out of the robot leg, the regulator of the leg suspension point height, and the regulator of the robot speed. Those self-contained regulators are closed loop systems; they actuate only one motion level. Feedback in the regulators is performed by combined sensors, the output signal of which contains the information about other motion levels that affect the regulating parameter value.

Keywords: walking robot, surface irregularities, adaptation.

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FORMATION OF ONE-NET SHELLS BY ISOMETRIC TRANSFORMATION

Saveljev V.A. and Sanikidze M.M.

Melnikov Central Research Institute of Steel Construction Designing, Moscow

Georgian Institute of Space Constructions

The methods of one-net shell geometric formation based on isometric transformation are offered. The characteristic property of the offered methods is the possibility of forming the one-net shells with various surface shapes out of the same set of standard size constructive elements. The methods are realized in the form of a computer programme that allows to automate geometric calculation of net shells. Mathematical solution of the problem and examples of bending the sloping spherical segment into sigar-shaped and six-wave rotation surfaces are presented.

Keywords: net shell, isometric transformation, calculation methods.

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INFLUENCE OF REACTIVE TANGENTIAL TENSIONS ON SMALL-DEPRESSION TUNNEL BASEMENTS

Antelidze Z.G.

Georgian Technical University

The case of calculation of small-depression tunnels, when the rigidity of a building as of a spatial construction is not taken into account, and the behaviour of the base plate is cоnsidered not only for the known loads conveyed from above and for the action of normal tensions (the counteracting forces of the ground), but also for the action of tangential tensions, is described. The results are compared with the analogous data obtained for the same construction, but without taking into consideration the above-stated factor. Respective conclusions are presented.

Keywords: tunnel, basement, reactive tangential tensions, calculation.

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ON DIGITAL SIMULATION OF THE BUILDING LEVELLING PROCESS

Panasyuk L.N., Makhviladze L.S., Zotov V.D., Bolotov Yu.K and Zotov M.V.

Georgian Engineering Academy

Some methods of digital simulation of the building levelling process are considered. The method of finite elements in the form of the method of displacements was used. As a result, a periodically nonstationary interative process has been constructed. Mathematical equations realized in the programme complex "Klen" are presented. This complex ensures input and editing of the information about the ensemble of finite elements in a graphic form, executes the output of calculated results, and supports the solution of plane and spatial problems in dynamic and static statements.

Keywords: building levelling, digital simulation, complex "Klen".

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INVESTIGATION OF THE SOLID CARRIER NATURE EFFECT ON CHROMATOGRAPHIC PROPERTIES OF A STATIONARY LIQUID

Eprikashvili L.G., Dzagania M.A., Zautashvili M.G., Pirtskhalava N.V. and Tavamaishvili K.G.

P.Melikishvili Institute of Physical and Organic Chemistry

The results of investigation of some solid carriers are presented. It is shown that the solid carrier nature significantly affects the chromatographic properties of a stationary liquid phase.

Keywords: liquid crystal, solid carrier, stationary liquid phase.

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ПИРОЛИЗ БЕНЗИНОВОГО ДИСТИЛЛЯТА ТОВАРНОЙ НЕФТЕСМЕСИ НСП САМГОРИ В ВЫСОКОТЕМПЕРАТУРНОМ РЕЖИМЕ

Гаджиев-Шенгелия М.К., Кереселидзе Р.В., Арешидзе Г.Х., Амиридзе З.С.

Институт физической и органической химии им. П.Меликишвили АН Грузии

Изучен процесс высокотемпературного пиролиза бензиновой фракции 38-170^oС самгорской нефти в лабораторных условиях в кварцевой трубке длиной 120 см и диаметром 20 мм. Оптимальным режимом получения этилена оказались: температура 820^oС, время контакта 0,5 сек., количество водяного пара 70% от сырья. Выход этилена равен 28%. Изучен состав пирогаза.

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СИНТЕЗ ФТОР- И КРЕМНИЙСОДЕРЖАЩИХ ПОЛИМЕРОВ С СИЛАРИЛЕНОВЫМИ ФРАГМЕНТАМИ МАКРОМОЛЕКУЛЯРНОЙ ЦЕПИ

Буцхрикидзе Б.А., Лекишвили Н.Г., Кежерашвили М.Г., Сидамонидзе Н., Асатиани Л.П., Окуджава Н, Арабули Л.

Тбилисский государственный университет им. Ив. Джавахишвили

Синтезированы фтор- и кремнийсодержащие полиамидокислоты и полиимид на их основе методом полигетероциклизации (при высокой температуре и в присутствии циклизирующего комплекса) и изучены их свойства. Изучена реакция полигетероциклоконденсации, а также установлено влияние различных факторов (концентрация раствора, природа растворителя) и условий реакции на h прив и строение цепи ПИ. Изучена термостабильность синтезированного полимера.

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2-(DIPHENYLMETHANE-4-IL) INDOLE NITRATION REACTION

Chikvaidze I.Sh., Samsonija Sh.A. and Narindoshvili T.G.

Iv. Javakhishvili Tbilisi State University

The reaction of 2-(diphenylmethane-4-il) indole nitration by the KNO₃/H₂SO₄ mixture at 0⁰C has been studied. Out of the complex mixture, 5-nitro-2-phenylindole and 4^/,5-dinitro-(diphenylmethane-4-il) indole have been isolated and characterized.

Keywords: indole, diphenylmethane, nitration.

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ИССЛЕДОВАНИЕ РАСТЕНИЙ MAGNOLIA OBOVATA И COCCULUS LAURIFOLIUS, ИНТРОДУЦИРОВАННЫХ В БАТУМСКОМ БОТАНИЧЕСКОМ САДУ, НА СОДЕРЖАНИЕ АЛКАЛОИДОВ И ФЕНОЛЬНЫХ СОЕДИНЕНИЙ

Цакадзе Д.М., Купаташвили Н.Н., Стуруа М.Д., Самсония Ш.А.

Тбилисский государственный университет им. Ив. Джавахишвили

Кутаисский государственный университет

Аджарский кооперационный институт

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THE INFLUENCE OF THE METHYLPYRIDINE ISOMERS STERIC EFFECT ON THE Co(II) COMPLEXES COMPOSITION

Kipiani T. I., Gulbani D. V., Kurtanidze R. Sh., Tsintsadze G. V. and Tsintsadze M. G.

Sukhumi Branch of Iv. Javakhishvili Tbilisi State University

Complexes of Co(II) have been prepared by reacting cobalt (II) acetate with a -amino-4-methylpyridine (L) and a -amino-5-methylpyridine (L¹) in the aqueous medium of the formulae 2Co(CH₃COO)₂ ^. L ^. H₂O and Co(CH₃COO)₂ ^. 2L^{1 .} 5H₂O composition. The rule of coordination of L, L¹ molecules and acetate ions with Co(II) central ions has been stated by using infrared absorption spectra.

Keywords: steric effect, a -amino-4-methylpyridine, a -amino-5-methylpyridine, cobalt (II) acetate, coordination compounds, infrared spectra.

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 SYNTHESIS OF LYSINE BASED ON THE TELOMERIZATION REACTION

Kristesashvili L.V., Chkhubianishvili N.G. and Khananashvili L.M.

Georgian Technical University

For synthesis of lysine the telomerization reaction of ethylene and ethyl ether of trichloroacetic acid was studied. Optimal conditions for synthesis of individual telomers were established. Using the telomer of a ,a ,e - trichlorocaproic acid ethyl ether the reduction of a ,e -dichlorocaproic acid ethyl ether by hydrogenation on a Pd catalyst in acetic acid was studied. Lysine dichlorohydrate was recovered from the reduced product by ammonolysis with following ether hydrolysis. Output was 70%.

Keywords: telomerization, telogen, telomer, ammonolysis, hydrolysis.

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GLASS FORMATION IN THE B₂O₃-MnO-Li₂O-TiO₂ SYSTEM

Kurtskhalia V.V., Sarukhanishvili A.V. and Cheishvili T.Sh.

Georgian Technical University

An attempt to syntesize glasses and masses with relatively low resistance on the base of B₂O₃ was made. Partial analysis of complex physical and chemical processes taking place in those systems is presented.

Keywords: glass, B₂O₃-MnO-Li₂O-TiO₂ system, electrical resistance.

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ON THE CONTENT OF TYROSOL IN HONEY AND IN ALCOHOLIC PRODUCTS OF HONEY PROCESSING

Khositashvili M.L., Guliashvili M.M., Gotsiridze O.G. and Mudjiri L.A.

Research Institute of Horticulture, Viticulture and Wine-Making

The tyrozol content in honey and in the products prepared by dry fermentation of honey sugar has been identified for the first time using a spectrophotometric method. The dynamics of its accumulation during the fermentation has been studied.

Keywords: honey, alcoholic fermentation, aminoacids, tyrosine, tyrosol.

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INVESTIGATION OF A POSSIBILITY OF USING THE POLLEN AS AN ACTIVATOR OF ALCOHOLIC FERMENTATION OF A WATER-HONEY SOLUTION

Khositashvili M.L., Pataraja M.M., Gotsiridze O.G. and Chubinidze M.G.

Research Institute of Horticulture, Viticulture and Wine-Making

The possibility of using the pollen as an activator of alcoholic fermentation of an aqueous solution of honey is investigated. It has been established that addition of 0.2% of the pollen into the honey wort pitched by the pure culture yeast (Kardanakhi 42) maintains intensive course of the alcoholic fermentation without residual sugar.

Keywords: pollen, activator, alcoholic fermentation.

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ABOUT THE AIRCRAFT POLAR

Sanadze G.O.

Georgian Technical University

The dependence of the aerodynamic lift coefficient and the drag coefficient of aircrafts on the Mach number, which is called an aircraft polar, is presented. The aircraft polar, unlike the known polar, shows the variation in the aerodynamic coefficients, that correspond to cruising speeds of modern aircrafts, depending on the Mach number.

Keywords: aircraft, Mach number, aircraft polar.

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ON EVALUATION OF ARTIFICIAL LUNG VENTILATION ADEQUACY

De Mondolis-Bagdasarova B.E.

Georgian Technical University

Evaluation of lung ventilation adequacy in the modern ventilation apparatus at minute ventilation variation is described. The dependence of the changes in respiration cycle parameters on the minute ventilation volume variation and the rational parameters area is shown.

Keywords: lung ventilation apparatus, adequacy, evaluation.

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STAY CABLEWAY CARRIAGE MOVEMENT TRAJECTORY ANALYSIS

Khatiashvili K.V.

Institute of Mining Mechanics

The drawbacks of G.Mueller's "Aerobus" are discussed. Two principally different profiles of the riding cable and the carriage movement appropriate trajectories are considered. Computation formulae for the novel cableway carriage movement trajectory are presented; possibilities of eliminating the mentioned drawbacks are described.

Keywords: stay cableway carriage, trajectory, riding cable, computation formulae.

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ANALYTICAL PRINCIPLES OF ORGANIZING THE RECONSTRUCTION DESIGN OF DEFORMED DOMESTIC BUILDINGS DANGEROUS TO USE

Chipashvili O.N.

Georgian Technical University

Some conceptual and methodical principles of optimization of organizing the reconstruction design of domestic buildings are considered.

Keywords: domestic buildings, organizing the reconstruction design, analysis, optimization.

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ON THE PROBLEM OF BUILDING LEVELLING WITH THE HELP OF AN ELECTROHYDRAULIC SYSTEM WITH FLAT JACKS

Makhviladze L.S., Panasyuk L.N., Zotov V.D., Bolotov Yu.K and Zotov M.V.

Georgian Engineering Academy

Some features associated with overnormative inclinations of buildings and the ways of their elimination are considered. A method of building levelling with the help of a system of flat hydraulic jacks, which requires preliminary estimation of the stress-strain state of buildings at different hoisting stages, is described. In this connexion the stages of building levelling are considered; their brief characteristics, which are taken into account at digital simulation of the building levelling process, are presented.

Keywords: building levelling, hoisting stages, features.

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RESONANCE IN LIVING SYSTEMS AS AN INDEX OF THE VALUE OF ENERGY AND INFORMATION RECEPTION

Khvedelidze M.A.

Institute of Cybernetics

Georgian Engineering Academy

The magnetic and electromagnetic nonthermal effect on living systems, which is recognized as a resonance phenomenon, is considered. The author has introduced a notion of "informational" energy E_i by analogy to other energy "specialities", and has associated it with a notion of information "value" for all living systems. It is suggested to determine the value of informational energy E_i by the relationship between the informational energy absorbed (E_ia) and the informational energy used (E_iu) by living systems. The maximum value is achieved at the resonance which corresponds to the maximum efficiency of a transducer. The omission in the system of the agreed-upon classification of "energy" and "information" transducers and their complex energy and information specialization existing in the photosynthesis process in the world of plants is noted.

Keywords: energy and information reception, resonance, informational energy, living systems.

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ON THE PROBLEM OF APPLICATION OF BIOENERGOGRAPHY IN MEDICINE

Shaduri M.I. and Chichinadze G.K.

Aura-Ma-Gi Medical Diagnosis Firm

Basing on the results of examination of patients (more than 800) by the method of computerized bioenergography (Kirlian effect), the conclusion about usefulness and prospects of the mentioned method for diagnosis with the possibility of early revelation of malignant neoplasms has been made.

Keywords: Kirlian effect, bioenergography, medicine, diagnosis.

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ON THE EFFECT OF ADVERTISING ON THE REALIZATION OF INFORMATION PRODUCTS

Chubukova O.Yu.

Economic Research Institute, Kiev, the Ukraine

The problems associated with the specific effect of advertising on the realization of information products are considered. The ways that bolster advertising and increase ad effectiveness under market conditions are proposed.

Keywords: information products, advertising, realization.

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ON THE PROBLEM OF MACHINERY AND TECHNOLOGY INTRODUCTION MANAGEMENT WITH ACCOUNT OF ECOLOGICAL REQUIREMENTS

Khatiashvili K.V.

Institute of Mining Mechanics

The significance of the product value sphere - the product quality in its general sense and the production scale - is discussed against the background of general problems of machinery and technology introduction management A general block diagram of the machinery and technology introduction management with evaluation criteria is presented.

Keywords: machinery, technology, introduction, management, product quality.

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NEW DEFORMYLATION REACTION OF 2-SUBSTITUTED - INDOLE - 3 - ALDEHYDES

Samsonija Sh.A., Chikvaidze I.Sh. and Narindoshvili T.G.

Iv. Javakhishvili Tbilisi State University

It has been established that 3-formyl derivaties of some indole compounds are subject to deformylation when heated in polyatomic alcohols. General conversion products are 3-substituted indoles, from which aldehydes are synthesized.

Keywords: indole, aldehyde, deformylation.

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ON THE POSSIBILITY OF APPLICATION OF "TIPSY" HONEY FOR PRODUCING ALCOHOLIC BEVERAGES

Khositashvili M.L., Gotsiridze O.G., Shalashvili K.G. and Alania M.D.

Research Institute of Horticulture, Viticulture and Wine-Making

Institute of Pharmacochemistry

It is shown that alcoholic fermentation facilitates neutralization of andromedotoxin, and that "tipsy" honey can be used for producing alcoholic beverages.

Keywords: alcoholic beverages, "tipsy" honey, andromedotoxin, neutralization.

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ON THE FEATURES OF MOUNTAIN POWER TRANSMISSION LINE ROUTES

Kvartskhava Sh.P.

Georgian Technical University

The features which should be foreseen when designing mountain power transmission lines are considered.

Keywords: mountain power transmission line, features.

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ON ACOUSTIC FEATURES OF DOMED CHURCHES

Khabeishvili N.A.

Georgian Technical University

Acoustic characteristic features of Georgian domed churches are considered. The most favourable acoustic areas in church buildings have been revealed.

Keywords: acoustic features, domed churches.

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