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Book of Abstracts GEORGIAN MECHANICAL UNION saqarTvelos meqanikosTa kavSiri VI ANNUAL MEETING OF THE GEORGIAN MECHANICAL UNION saqarTvelos meqanikosTa kavSiris meeqvse yovelwliuri saerTaSoriso konferencia BOOK OF ABSTRACTS moxsenebaTa Tezisebi © GGeorgian Aviation University 29.09 – 04.10 2015, TBILISI saqarTvelo saaviacio universiteti ISSN 2233-355X 29.09 – 04.10 2015, Tbilisi 2 1 ORGANIZERS: ორგანიზატორები: Georgian National Committee of Theoretical and Applied საქართველოს ეროვნული კომიტეტი თეორიულ და გამოყენებით მექანიკაში, Mechanics, Georgian Mechanical Union საქართველოს მექანიკოსთა კავშირი საქართველოს საავიაციო უნივერსიტეტი Georgian Aviation University ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტის I. Javakhishvili Tbilisi State University ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი I. Vekua Institute of Applied Mathematics ზუსტი და საბუნებისმეტყველო მეცნიერებათა ფაკულტეტი Faculty of Exact and Natural Sciences თბილისის საერთაშორისო ცენტრი მათემატიკასა და ინფორმატიკაში Tbilisi International Centre of Mathematics and Informatics საერთაშორისო სამეცნიერო კომიტეტი: SCIENTIFIC COMMITTEE: თანათავმჯდომარეები: CO-CHAIRS: ტეფნაძე სერგო (საქართველოს საავიაციო უნივერსიტეტი, საქართველო) Jaiani, George, Ivane Javakhisvili Tbilisi State University, Georgia ჯაიანი გიორგი (ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო Tepnadze, Sergo Georgian Aviation University, Georgia უნივერსიტეტი, მათემატიკის დეპარტამენტი & ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, საქართველო) COMMITTEE MEMBERS: წევრები: Altenbach, Holm (Germany) ალტენბახი ჰოლმი (გერმანია) კიკვიძე ომარი Kikvidze, Omari (Georgia) Aptsiauri, Amirani (Georgia) აფციაური ამირანი კონდრატიევა ლიდია (რუსეთი) Kipiani, Gela (Georgia) Betaneli, Archili (Georgia) ბეთანელი არჩილი კუბეჩკოვა დარია (ჩეხეთის Kvitsiani, Tarieli (Georgia) Botchorishvili, Ramazi (Georgia) ბოჭორიშვილი რამაზი რესპუბლიკა) Kondratyeva, Lidiya (Russia) Chinchaladze, Natalia (Georgia) გაბრიჩიძე გურამი მახვილაძე ნოდარი Kubeckova, Darja (Czech Republic) Dadaian, Tigran (Armenia) გიგინეიშვილი ჯონი მეუნარგია თენგიზი Makhviladze, Nodari (Georgia) Danelia, Demuri (Georgia) გულუა ბაკური ნატროშვილი დავითი Meunargia, Tengizi (Georgia) Dumbadze, Akaki (Georgia) დადაიანი, ტიგრან (სომხეთი) პატარაია დავითი Natroshvili, David (Georgia) Gabrichidze, Gurami (Georgia) დანელია დემური რაიჩიკი მარლენა (პოლონეთი) Pataraia, David (Georgia) Gigineishvili, Joni (Georgia) დუმბაძე აკაკი სმირნოვი ევგენი (რუსეთი) Rajczyk, Marlena (Poland) Gulua, Bakuri (Georgia) ვაშაყმაძე თამაზი ყიფიანი გელა Smirnov, Evgeny (Russia) Kapanadze, George (Georgia) კაპანაძე გიორგი შავლაყაძე ნუგზარი Vashakmadze, Tamazi (Georgia) Kienzler, Reinhold (Germany) კვიციანი ტარიელი ჩინჩალაძე ნატალია კინცლერი რაინჰოლდი (გერმანია) ORGANIZING COMMITTEE: საორგანიზაციო კომიტეტი: Bliadze, Seit Mikadze, Valeri, Scientific Secretary ბლიაძე სეითი ჩინჩალაძე ნატალია, Chinchaladze, Natalia, Co-Chair Kipiani, Gela, Chair გულუა ბაკური თავმჯდომარის მოადგილე Gulua, Bakuri Tsutskiridze, Vardeni მიქაძე ვალერი, სწავლული მდივანი ცუცქირიძე ვარდენი TOPICS OF THE MEETING: ყიფიანი გელა, თავმჯდომარე 1. Solid Mechanics კონფერენციის თემატიკა: 2. Fluid Mechanics 1. მყარ დეფორმად სხეულთა მექანიკა; 3. Solid-Fluid Interaction Problems 2. ჰიდროაერომექანიკა; 4. Applied Mechanics 3. დრეკად მყარ და თხევად გარემოთა ურთიერთქმედების პრობლემები; 5. Mechanics of Flying Vehicles 4. გამოყენებითი მექანიკა; 6. Related Problems of Analysis 5. საფრენი აპარატების მექანიკა; 6. ანალიზის მონათესავე საკითხები. 3 4 MATERIAL MODELING - AN ACADEMIC GAME OR A References TOOL FOR A BETTER DESIGN 1. М.Л. Акивис, В.В. Гольдберг - Тензорное исчисление, М., НАУКА, Holm Altenbach 1972 г. Otto-von-Guericke-University Magdeburg, Faculty of Mechanics 2. А. Дж. Мак-Конелл - Введение в тензорный анализ, М., Физматгиз, Magdeburg, Germany, [email protected] 1963 г. At the moment we have various possibilities to model the material behavior. The inductive way starts from simple experimental observation and step by step the generalization can be realized. This approach results in BARS AND HOSES CALCULATION the problem that the generalized equations may not satisfy the statements of the second law of thermodynamics even if the simplest case is in agreement Zurab Arkania with the second law. The deductive approach satisfies from the very Akaki Tsereteli State University beginning the second law but the procedure to get equations allowing the Kutaisi, Georgia [email protected] solution of practical problems is not trivial. There is a third approach – the rheological modeling combining the advantages of the first and second approach. All three approaches will be compared and discussed. Examples We’ve discussed static three-dimensional problems of absolute by demonstrate the advantages and disadvantages of the three approaches. flexible bars, when concentrated forces of any direction act on the bars. We’ve developed numerical method of hose shapes and determination of axial tensions in the hose. quids influence on the shape and THE EXACT EXPRESSION OF TURBULENT STRESS TENZOR We’ve researched ideal and sticky li AND CALCULATION RESULTS axial tension of the hose. It’s displayed that internal flow of the liquid doesn’t make influence on the shape of the hose. The shape of the hose is determined only by external powers. Amiran Aptsiauri We have received axial tensions formula in the hose. The method is Kutaisi National Educational University, Kutaisi, Georgia, developed for solving the static sums of complementary hoses to the flow [email protected] of liquid or air loaded with concentrated forces considering the internal flow of ideal or sticky liquid in the hose. The paper gives a solution to the problem of turbulence based on the The results allow to evaluate solidity of the bar and hose, to advisedly methods of tensor analysis. It is shown that the exact mathematical select parameters of the internal flow of the hose and liquid in it in order to expression of tensor calculus contains important information for the search raise reliability of the hose in the process of maintenance. of the turbulent stress tensor, whose definition was not possible for more than one century. It is proved that implicitly tensor is a function of the time-averaged References velocity and density, and explicitly it depends on the average velocity, 1. density and energy of turbulent fluctuations. The corresponding equations Светлицки В. А. Механика трубопроводов и шлангов м.: . are given. машиностроение, 1982, 279с Comparison of the calculated results with the available experimental data confirms the validity of the decision. 5 6 EXPERIMENTAL INVESTIGATION BEAM AT THERMO the Neumann type BVPs in the form of absolutely and uniformly convergent MECHANICAL LOADING series. Gulbanu Baisarova*, Omar Kikvidze** References *Akaki Tsereteli state University, Kutaisi, Georgia, [email protected] 1. Khalili N., Selvadurai A.P.S.: A Fully Coupled Constitutive Model ** Akaki Tsereteli state University, for Thermo-hydro-mechanical Analysis in Elastic Media with Double Kutaisi, Georgia, [email protected] Porosity.Geophsical rResearch Letters, v.30, pp. SDE 7-1-7-3, 2003. 2. Basheleishvili M., Bitsadze L.: The basic BVPs of the theory of In this paper we consider experimental investigation of cantilevered consolidation with double porosity for the sphere. Bulletin of TICMI, beam, that is subjected to bending. The beam has rectangular cross section. 16 , n.1, 15-26 , 2012. The experimental device is presented. The beam is loaded by concentrated 3. Tsagareli I., Bitsadze L.: Explicit Solution of one Boundary Value force and temperature field. In the experiment the temperature of top and Problem in the full Coupled Theory of Elasticity for Solids with Double bottom surface of beam, and also vertical and horizontal displacement of Porosity. Acta Mechanica: Volume 226, Issue 5, 1409-1418, 2015, free end of beam are measured. All the measurements are carried out by 40 DOI: 10.1007/s00707-014-1260-8. sec. interval for both regimes: 1. The beam is acted by non homogeneous 4. I. Tsagareli, L. Bitsadze, The Boundary Value Problems in the Full temperature field, 2. The beam is acted by concentrated force and then acted Coupled Theory of Elasticity for plane with Double Porosity with a by non homogeneous temperature field. Circular Hole, Seminar of I.Vekua Institute of Applied Mathematics, The experimental results show, that displacement caused by temperature Reports, vol.. 40, 68-79, 2014. field is less than displacement caused by force. Experimental results will be 5. Basheleishvili M., Tsagareli I.: Effective solution of the basic BVPs of compared with the results of numerical calculation. the elasticity theory for a sphere. Bull.of the Academy of Sciences of the Georgian SSR, 108, 1, 41-44, 1982. References 6. Tsagareli I.: On a problem for a spherical layer. Proceedings of I.Vekua Inst. of Appl. Math., 12, 118-122 ,1983 1. Термопрочность деталей машин. /Под ред. И.А.Биргера и Б.Ф.Шорра. М.: Машиностроение, 1975.- 455 с. DYNAMIC MODELS OF LAMINATED SYSTEMS Seit Bliadze*, Valeri Mikadze** ON SOME PROBLEMS IN THE THEORY OF THERMOELASTICITY FOR A SPHERE WITH DOUBLE *LEPL State Military Scientific Technical Center “Delta”, Tbilisi, Georgia, , [email protected] POROSITY **Georgian Aviation University, Tbilisi, Georgia, [email protected] Lamara Bitsadze Iv. Javakhishvili Tbilisi State University, I.Vekua Institute of Applied The finite element method is employed for computation of sandwich Mathematics, Tbilisi, Georgia, [email protected] shell structures.
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