SAOSYS Toolbox as MATLAB implementation in the elastic-plastic analysis and optimal design of steel frame structures

Journal of Civil Engineering and Management

Volumn 16, Issue 1, 2010, Pages 103-121

  Jankovski, Valentinas ^a   Atkočiunas, Juozas ^a  

^a VILNIUS GEDIMINAS TECHNICAL UNIVERSITY   (Lithuania)

Author keywords

Energy principle; Finite element method; Mathematical programming; MATLAB; Objectoriented programming; Optimal design; Steel structures

Indexed keywords

DEFORMABLE BODIES; DISCRETIZATIONS; ELASTIC-PLASTIC ANALYSIS; ENERGY PRINCIPLE; ENERGY PRINCIPLES; FINITE ELEMENT; GEOMETRICAL CHARACTERISTICS; INDUSTRIAL BUILDINGS; INTERNAL FORCES; INTERPOLATION FUNCTION; MATLAB ENVIRONMENT; NUMERICAL EXAMPLE; OBJECT ORIENTED; OPTIMAL DESIGN; PLASTIC STRAIN; SMALL DISPLACEMENT; STEEL FRAME STRUCTURES; TOOL SYSTEMS;

DESIGN; MATHEMATICAL MODELS; MATHEMATICAL PROGRAMMING; MATLAB; OFFICE BUILDINGS; OPTIMAL SYSTEMS; RHODIUM COMPOUNDS; STEEL CONSTRUCTION; STEEL STRUCTURES; STRUCTURAL FRAMES; TOOL STEEL;

FINITE ELEMENT METHOD;

EID: 77950256230     PISSN: 13923730     EISSN: 18223605     Source Type: Journal    
DOI: 10.3846/jcem.2010.10     Document Type: Article

References (47)

1. Aho, A. V.; Sethi, R.; Ullman, J. D. 1986. Compilers: Principles, Techniques, and Tools. Addison Wesley. 796 p.
2. Atkočiūnas, J. 1994. Design of Elastoplastic Systems under Repeated Loading. Vilnius: Science and Encyclopedia Publishers. 147 p. (in Russian).
3. Atkočiūnas, J. 1999. Mathematical models of optimization problems at shakedown, Mechanics Research Communications, 26(3):319-326. doi:10.1016/S0093-6413 (99) 00030-0
4. Atkočiūnas, J.; Merkevičiūtė, D. 2003. Kuhn-Tucker conditions and load optimization problem at shakedown, in Burczynski T.; Fedelinski P.; Majchrzak, E. (Editors). Proceedings of the 15th International Conference on Computer Methods in Mechanics. Gliwice: Silesian Technical University.
5. Atkočiūnas, J.; Venskus, A. 2008. Optimal shakedown design of frames under stability conditions, in Topping, B. H. V. and Papadrakakis, M. (Editors). Proceedings of the Ninth International Conference on Computational Structures Technology, September 2-5, 2008, Athens, Greece, Civil-Comp Press. 12 p. ISBN 978-1-905088-22-5.
6. Atkočiūnas, J.; Jarmolajeva, E.; Merkevičiū tė, D. 2004. Optimal shakedown loading for circular plates, Structural and Multidisciplinary Optimization. International Society for Structural and Multidisciplinary Optimization (ISSMO) 27(3):178-188. ISSN 1615-147X.
7. Atkočiūnas, J.; Merkevičiūtė, D.; Venskus, A. 2008. Optimal shakedown design of bar systems: Strength, stiffness and stability constraints, Computers & Structures 86: 1757-1768. doi:10.1016/j.compstruc.2008.01.008
8. Atkočiūnas, J.; Merkevičiūtė, D.; Venskus, A.; Skaržauskas, V. 2007. Nonlinear programming and optimal shakedown design of frames, Mechanika 2(64):27-33. Kaunas: Technologija. ISSN 1392-1207.
9. Atkočiūnas, J.; Rimkus, L.; Skaržauskas, V.; Jarmolajeva, E. 2007. Optimal shakedown design of plates, Mechanika 5(67):14-23. Kaunas: Technologija. ISSN 1392-1207.
10. Atrek, E.; Gallagher, R. G.; Ragsdell, K. M.; Zienkiewicz, O. C. 1984. New Directions in Optimum Structural Design. John Wiley and Sons, Chichester, New York, Brisbane, Toronto, Singapore. ISBN 5-274-00334-6.
11. Bazaraa, M. S.; Sherali, H. D.; Shetty C. M. 2004. Nonlinear Programming: Theory and Algorithms. New York: John Wiley & Sons Ltd. 853p.
12. Brandt, A. M. 1978. PAN IPPT, Podstawy optymalizacji elementów konstrukcji budowlanych. Warszawa, Państwowe wydawnictwo naukowe. 503 s.
13. Bucknall, J. 2001. Tomes of Delphi: Algorithms and Data Structures. Wordware Publishing, Inc. 525 p.
14. Choi, S. H.; Kim, S. E. 2002. Optimal design of steel frame using practical nonlinear inelastic analysis, Engineering Structures 24(9):1189-1201. doi:10.1016/S0141-0296 (02) 00053-6
15. Čyras, A.; Borkowski, A.; Karkauskas, R. 2004. Theory and Methods of Optimization of Rigid-Plastic Systems Vilnius: Technika. 354 p.
16. De Veubeke, B. F. 1963. Displacement and Equilibrium Models in the Finite Element Method. Stress Analysis. Ch. 9. John Wiley, London.
17. Eckel, B. 2000. Thinking in C++. 2nd ed. Volume One: Introduction to standard C++. Prentice Hall Inc. 842 p.
18. Gallagher, R. H. 1975. Finite Element Analysis: Fundamentals. Englewood Cliffs: Prentice-Hall Inc. 420 p.
19. Gamm, E.; Helm, R.; Johnson, R.; Vlisides J. 1995. Design Patterns: Elements of Reusable Object-Oriented Software. Addison Wesley Longman Inc. 416 p.
20. Giambanco, F.; Palizzolo, L.; Polizzotto, C. 1994. Optimal shakedown design of beam structures, Structural Optimization 8: 156-167. doi:10.1007/BF01743313
21. Hopcroft, J. E.; Motwani, R.; Ullman, J. D. 2001. Introduction to Automata Theory, Languages, and Computation. 2nd ed. Addison Wesley. 521 p.
22. Jankovski, V.; Atkočiūnas, J. 2008. MATLAB implementation in direct probability design of optimal steel trusses, Mechanika 6(74):30-37. Kaunas: Technologija. ISSN 1392-1207.
23. Kalanta, S. 1995. The equilibrium finite element in computation of elastic structures, Statyba [Civil Engineering]. Vilnius: Technika, 1(1):25-47 (in Russian).
24. Kalanta, S.; Atkočiūnas, J.; Venskus, A. 2009. Discrete optimization problems of the steel bar structures, Engineering Structures Elsevier SCI LTD, England, 31 (Sp. Iss. SI 6) 1298-1304. ISSN 0141-0296.
25. Kaliszky, S.; Logo, J. 2002. Plastic behaviour and stability constraints in shakedown analysis and optimal design, Structural and Multidisciplinary Optimization 24: 118-124. doi:10.1007/s00158-002-0222-2 (Pubitemid 35186138)
26. Kaneko, L.; Maier, G. 1981. Optimum design of plastic structures under displacement's constraints, Computer Methods in Applied Mechanics and Engineering 27(3):369-392. doi:10.1016/0045-7825 (81) 90139-0
27. Karkauskas, R. 2007. Optimisation of geometrically non-linear elastic-plastic structures in the state prior to plastic collapse, Journal of Civil Engineering and Management 13(3):183-192.
28. Koiter, W. T. 1960. General Theorems for elastic-plastic solids. in Sheddon, IN, Hills R, (Editors). Progress in Solid Mechanics. Amsterdam: North Holland.
29. Krysl, P. 2005. A Pragmatic Introduction to the Finite element Method for Thermal and Stress Analysis. With the MATLAB toolbox SOFEA. Pressure Cooker Press. 190 p.
30. Lloyd, Smith D. 1990. Mathematical Programming Methods in Structural Plasticity. International Centre for Mechanical Sciences, Courses and Lectures No 299, Springer-Verlag, Wien - New York. 435 p.
31. Majid, K. I. 1974. Optimum design of structures. London: Newnes-Butterworths.
32. Merkevičiūtė, D.; Atkočiūnas, J. 2006. Optimal shakedown design of metal structures under stiffness and stability constraints, Journal of Constructional Steel Research 62: 1270-5. doi:10.1016/j.jcsr.2006.04.020 (Pubitemid 44584366)
33. Prager, W. 1955. Minimum weight design of plates. De Ingenieur 67(48):141-142.
34. Raue, E.; Timmler, H.-G.; Garke, R. 2009. On the physically non-linear analysis of cyclic loaded reinforced concrete cross-sections with mathematical optimization, Journal of Civil Engineering and Management 15(2):189-195. doi:10.3846/1392-3730.2009.15.189-195
35. Register, A. H. 2007. A Guide to MATLAB Object-Oriented Programming. SciTech Publishing Inc. 354 p.
36. Riel, A. J. 1996. Object-Oriented Design Heuristics. Addison Wesley. 400 p.
37. Skaržauskas, V.; Merkevičiūtė, D.; Atkočiūnas, J. 2005. Optimisation des portiques dans les conditions d'adaptation avec des restrictions en déplacements, Revue Européenne de Génie Civil 9(4):435-453. ISSN 1279-5119.
38. Šešok, D.; Belevičius, R. 2008. Global optimization of trusses with a modified genetic algorithm, Journal of Civil Engineering and Management 14(3):147-154. doi:10.3846/1392-3730.2008.14.10
39. Tin-Loi, F. 2000. Optimum shakedown design under residual displacement constraints, Structural and Multidisciplinary Optimization 19(2):130-139. doi:10.1007/s001580050093
40. Wilson, E. L. 2002. Three-Dimensional Static and Dynamic Analysis of Structures. A Physical Approach With Emphasis on Earthquake Engineering. Third Edition. Computers and Structures, Inc., University Avenue Berkeley, California. 423 p.
41. rd Edition. Sams. 1200 p.
42. ANSYS 9.0 Commands Reference and APDL Programmer's Guide. 2004. SAS IP, Inc. (El. version).
43. EN 1993-1-1:2005. Eurocode 3: Design of steel structures - Part 1-1: General rules and rules for buildings.
44. MATLAB 7.0 software documentation. 2004. MathWorks, Inc., (El. version).
45. STR 2.05.08. 2005. Design of steel structures. General rules. Design cod of Lithuanian Republic. Vilnius, Lithuanian Department of Environment (in Lithuanian).