PROCEEDINGS IConSSM 2011 The 3rd International Congress of Serbian Society of Mechanics Vlasina lake (Serbia), 5-8 July 2011 Editors Stevan Maksimović Tomislav Igić The 3rd International Congress of Serbian Society of Mechanics (IConSSM 2011) Editors Stevan Maksimović Tomislav Igić Computer editing Marija Blažić, Ivana Ilić Press Klasa, Belgrade http://www.klasa.rs/ Circulation 250 copies CIP – Каталогизација у публикацији Народна библиотека Србије, Београд 531/534(082) СРПСКО друштво за механику (Београд). Међународни конгрес (3; 2011; Vlasinsko jezero) Proceedings/The 3rd International Congress of Serbian Society of Mechanics (IConSSM 2011), Vlasina lake (Serbia), 5-8 July 2011; editors Stevan Maksimović, Tomislav Igić. – Beograd: Serbian Society of Mechanics; 2011 (Belgrade: Klasa).- VII, 1244 str.: ilustr.; 25 cm Tiraž 250. – Str.III: Preface/Stevan Maksimović, Tomislav Igić.,- Bibliografija uz svaki rad. ISBN 978-86-909973-3-6 a) Механика - Зборници COBISS:SR-ID 187662860 Published by Serbian Society of Mechanics, Belgrade http://www.ssm.org.rs/ PREFACE The proceedings contains the papers presented at the Third (28th Yu) International Congress of Serbian Society of Mechanics held in Vlasina lake during the period 5th -8th July, 2011. Theoretical and Applied Mechanics is a subject of great importance in the developing of science and technology. The aim of the Congress is to provide a forum to exhibit the progress in this field during the past two years and a place to further the interaction of modern theoretical and applied mechanics, as well as modern engineering sciences. The papers, contributed by authors from all around the globe, have been separated into 7 sections which cover the main areas of the interest, e. g. `Plenary lectures`, Section A, Section B, Section C, Section D and two Mini-symposia. We would here like to express our heartfelt thanks to all members of the Scientific Committee and also to the participants for their engagement in organizing of the Congress, including the preparation of manuscripts which will be published in the Journal Theoretical and Applied Mechanics and Scientific Technical Review. Last, but by no means least, the Congress organizing committee wishes to acknowledge the collaboration of the Ministry of Education and Science – Government of the Republic of Serbia, Municipatily Surdulica and Many Supporting members of the Serbian Society of Mechanics listed in the proceedings. Stevan Maksimović & Tomislav Igić Chairmen of Organizing Committee July, 2011. The 3rd International Congress of Serbian Society of Mechanics IConSSM 2011, Vlasina lake (Serbia), 5-8 July 2011. Scientific Committee Nikola Hajdin (Belgrade, Serbia) Mihajlo Lazarević (Belgrade, Serbia) Vladan Đorđević (Belgrade, Serbia), Reinhold Kienzler (Bremen, Germany) Božidar Vujanović (Novi Sad, Serbia) Rade Vignjević (Grenfield, England) Đorđe Zloković (Belgrade, Serbia) Andrea Carpinteri (Parma, Italy) Felix Chernousko (Moscow, Russia) Miloš Nedeljković (Belgrade, Serbia) Antony Kounadis (Athens, Greece) Milorad Milovancević (Belgrade ,Serbia) Ingo Müller (Berlin, Germany) Tamara Nestorović (Bohum, Germny) Đorđe Đukić (Novi Sad, Serbia) Guy Guerlement (Mons, Belgium) Teodor Atanacković (Novi Sad, Serbia) Atual Bhaskar (Southampton, England) Miloš Kojić (Kragujevac, Serbia) Bohdana Marvalova (Chesc Republic) Ranislav Bulatović (Podgorica, Montenegro) Jorge Ambrosio (Lisabon, Portugal) Katica (Stevanović) Hedrih (Belgrade, Serbia) Pedro Ribeiro (Porto, Portugal) Anatoly M. Samoilenko (Kiev, Ukraine) Livija Cvetičanin (Novi Sad, Serbia) Emanuel Gdoutos (Thrace, Greece) Milan Mićunović (Kragujevac, Serbia) Hiroshi Yabuno (Tokiyo, Japan) Dragan Milosavljević (Kragujevac, Serbia) John Katsikadelis (Athens, Greece) Vladimir Dragović (Belgrade, Serbia) M. P. Cartmell (Glasgow, Scotland, UK) Vladimir Raičević (Kosovska Mitrovica, Serbia) Giuseppe Rega (Roma, Italy) Zlatibor Vasić (Kosovska Mitrovica, Serbia) Jan Awrejcewicz (Lodz, Poland) Vladimir Stevanović (Belgrade, Serbia) Jmbal Thazar (Sao Paolo, Brazil) Zoran Mitrović (Belgrade, Serbia) Robin Tucker (Lancaster, England) Predrag Kozić (Niš, Serbia) Gerard Maugin (Paris, France) Ratko Pavlović (Niš, Serbia) J. A. Tenreiro Machado (Porto, Portugal) Dragoslav Kuzmanović (Belgrade, Serbia) Dumitru Baleanu (Ankara, Turkey) Dragoslav Šumarac (Belgrade, Serbia) Subhash C. Sinha (Auburn, Alabama) Dragan Aranđelović (Niš, Serbia) Jerzy Warminski (Lublin, Poland) Vlastimir Nikolić (Niš, Sebia) Yuri Mikhilin (Kharkov, Ukraine) Taško Maneski (Belgrade, Serbia) Radu Miron (Iashi, Romania) Nataša Trišović (Belgrade, Serbia) Joseph Zarka (Palaiseau, France) Borislav Gajić (Belgrade, Serbia) Alexander Seyranin (Moscow, Russia) Srboljub Simić (Novi Sad, Serbia) Chi Chow (Michigen, United States) Dragan Spasić (Novi Sad, Serbia) Lidia Kurpa (Khrakov, Ukraine) Tomislav Igić (Nis, Serbia) Jovo Jarić (Belgrade, Serbia) Stevan Maksimović (Belgrade, Serbia) Organizing Committee Stevan Maksimović (co-chairman) Tomislav Igić (co-chairman) Borislav Gajić, sekretary Slobodanka Boljanović Nataša Trišović Ivana Vasović Dragi Stamenković Ivana Ilić Marija Blažić TABLE OF CONTENTS PREFACE No. PLENARY LECTURES P-01 E.E. Gdoutos FAILURE OF SANDWICH STRUCTURES 2 P-02 R. Vignjević, J. Campbell BRIEF REVIEW OF DEVELOPMENT OF THE SMOOTH PARTICLE HYDRODYNAMICS (SPH) METHOD 24 P-03 M. Lazarević STABILITY OF FRACTIONAL ORDER TIME DELAY SYSTEMS 44 P-04 A. P. Seyranian INTERACTION OF EIGENVALUES WITH APPLICATIONS IN MECHANICS AND PHYSICS 70 P-05 M. Živković, G. Jovičić NUMERICAL METHODS IN FRACTURE MECHANICS 80 P-06 S. C. Sinha, A. Gabale REDUCED ORDER MODELS FOR ANALYSIS AND CONTROL OF NONLINEAR SYSTEMS WITH PERIODIC COEFFICIENTS 94 LIST OF PAPERS Section A - GENERAL MECHANICS A-03 V. Dragović, K. Kukić DISCRIMINANT SEPARABILITY AND KOWALEVSKI-TYPE SYSTEMS 96 A-04 Y. N. Fedorov, B. Jovanović INTEGRABLE SYSTEMS ON STIEFEL VARIETIES 114 A-05 M. P. Lazarević, Lj. Bučanović FURTHER RESULTS ON PID TYPE CONTROL OF EXPANSION TURBINE IN THE AIR PRODUCTION CRYOGENIC LIQUID 122 A-06 S. Mastilović SOME NOTES ON STOCHASTICITY OF DYNAMIC RESPONSE OF 2D BRITTLE LATTICES 137 A-07 M. Mićunović, Lj. Kudrjavceva ON VISCOPLASTICITY OF TRANSVERSELY ISOTROPIC QUASI-RATE INDEPENDENT MATERIALS 149 A-08 Z. Mitrović, S. Rusov, N. Mladenović, A. Obradović FUZZY OPTIMIZATION OF CANTILEVER BEAM 158 A-09 D. Perišić STOCHASTIC MINIMAX DYNAMIC GAMES WITH INFORMATION CONSTRAINTS 154 A-10 D. Perišić STOCHASTIC OPTIMAL CONTROL WITH JUMPS AND INFORMATION CONSTRAINTS 171 A-11 D. Radojević A NOTE ON KASNER METRIC 177 A-15 V. Vujičić MOND TEORIJA MODIFIKACIJA NJUTNOVSKE DINAMIKE 179 A-16 N. Zorić, Z. Mitrović, A. Simonović MULTI-OBJECTIVE OPTIMIZATION OF PIEZOELECTRIC SENSOR AND ACTUATOR PLACEMENT AND SIZING FOR ACTIVE VIBRATION CONTROL 194 i A-18 M. Živanović CONTROL FORCE FOR SCLERONOMIC MECHANICAL SYSTEM IN DECOMPOSITION MODE 209 Section B - FLUID MECHANICS B-01 J. Bogdanović-Jovanović, Ž. Stamenković INFLUENCE OF DUCT CROSS-SECTION ON THE FLOW CHARACTERISTICS AROUND A SMOOTH SPHERE 222 B-02 Z. Boričić, D. Nikodijević, Z. Stamenković UNSTEADY TEMPERATURE MHD BOUNDARY LAYER ON THE POROUS BODY OF ARBITRARY SHAPE 236 B-03 Đ. Čantrak, M. Nedeljković, N. Janković TURBULENT SWIRL FLOW DYNAMICS 251 B-05 D. Jerković, S. Ilić, A. Kari, D. Regodić THE RESEARCH ON THE AERODYNAMIC COEFFICIENT EFFECTS ON THE STABILITY OF THE CLASSIC AXIS-SYMMETRICAL PROJECTILE 262 B-07 M. Jovanović, J. Nikodijević NUMERICAL SIMULATION OF PERTURBED POISEUILLE-COUETTE FLOW 275 B-08 M. Kozić, S. Ristić, M. Puharić, B. Katavić COMPARISON OF EULER-EULER AND EULER-LAGRANGE APPROACH IN NUMERICAL SIMULATION OF MULTIPHASE FLOW IN VENTILATION MILL 290 B-09 S. Linić, M. Puharić, D. Matić, V. Lučanin DETERMINATION OF THE AERODYNAMIC BRAKES FOR VARIOUS HIGH SPEED TRAIN VELOCITIES 304 B-11 N. Mirkov, N. Vidanović, B. Rašuo NUMERICAL SIMULATION OF SEPARATED TURBULENT FLOW IN ASYMMETRIC DIFFUSERS 312 B-12 B. Stanković, S. Belošević, M. Sijerčić, N. Crnomarković, V. Beljanski, I.Tomanović, A. Stojanović INVESTIGATION OF FULLY DEVELOPED PLANE TURBULENT CHANNEL FLOW BY MEANS OF REYNOLDS STRESS MODELS 321 Section C - MECHANICS OF SOLID BODIES C-01 N. Anđelić, V. Milošević-Mitić, T. Maneski THIN-WALLED OPEN-SECTION BEAMS – ONE VIEW TO THE OPTIMIZATION ACCORDING TO STRESS CONSTRAINTS 340 C-02 I. Atanasovska THE INFLUENCE OF LOAD AND BOUNDARY CONDITION SIMULATION ON THE STRUCTURAL EVALUATION OF RAILWAY WAGONS WITH FINITE ELEMENT TOOLS 352 C-03 A. Bhaskar TRAPPED WAVES AND END EFFECTS IN ELASTIC WAVEGUIDES 366 C-05 M. Blažić, K. Maksimović, Y. Assoul DETERMINATION OF STRESS INTENSITY FACTORS OF STRUCTURAL ELEMENTS BY SURFACE CRACKS 374 C-06 M. Bojanić STABILITY ANALYSIS OF LAYERED COMPOSITE PANELS BY FINITE ELEMENTS 384 C-07 S. Boljanović, S. Maksimović, A. Carpinteri ii NUMERICAL MODELING OF SEMI-ELLIPTICAL CRACK GROWTH UNDER CYCLIC LOADING 391 C-08 I. Čamagić, N. Vasić, Z. Burzić, P. Živković, Z. Vasić APPLICATION OF FRACTURE MECHANICS PARAMETERS FOR WELDED JOINTS USABILITY TESTING 399 C-09 M. Ćetković, Đ. Vuksanović GEOMETRICALLY NONLINEAR ANALYSIS OF LAMINATE COMPOSITE PLATES 411 C-11 J. Dautović, S. Đurković, V. Madić ONE METHOD OF NON-CONTACT SHAFT TORQUE MEASUREMENT 425 C-12 J. Đoković THE BEHAVIOR OF THE INTERFACIAL CRACK BETWEEN THE TWO LAYERS UNDER CONDITIONS OF A STATIONARY TEMPERATURE FIELD 440 C-13 E. Džindo, A. Sedmak, B. Petrovski ELASTO-PLASTIC FRACTURE MECHANICS FINITE ELEMENT ANALYSIS 448 C-14 P. Elek, V. Džingalašević, S. Jaramaz DETERMINATION OF DETONATION PRODUCTS EQUATION OF STATE