Optymalizacja belek i kolumn metodą automatu komórkowego

• Autorzy: Bochenek B. , Tajs-Zielińska K.

Warianty tytułu

EN

Optimization of beams and columns using cellular automata

• Języki publikacji: PL

Abstrakty

PL

W artykule pokazano zastosowanie metody automatu komórkowego do optymalizacji zginanych belek i kolumn narażonych na utratę stateczności. Przedstawiono wybrane sformułowania problemów optymalnego kształtowania, w szczególności nowe ujęcie projektowania kolumny przy warunkach stateczności, które następnie zilustrowano przykładami numerycznej optymalizacji.

EN

This paper presents application of Cellular Automata concept to optimization of beams under transverse loading and columns exposed to buckling. Selected optimal design problems are formulated, in particular, a new approach to design of column under stability constraints is proposed, which are then illustrated by results of numerical optimization.

Słowa kluczowe

PL

automat komórkowy; optymalizacja; równomierna wytrzymałość; stateczność

EN

cellular automata; fully stressed design; optimization; stability

• Wydawca: Wydawnictwo Politechniki Krakowskiej im. Tadeusza Kościuszki
• Czasopismo: Czasopismo Techniczne. Mechanika
• Rocznik: 2008
• Tom: R. 105, z. 4-M
• Strony: 19--30
• Opis fizyczny: Bibliogr. 26 poz.,Wykr., wz., rys.,

Twórcy

autor

Bochenek B.

autor

Tajs-Zielińska K.

• Instytut Mechaniki Stosowanej, Wydział Mechaniczny, Politechnika Krakowska

Bibliografia

• [1] Abdalla M.M., Gurdal Z., Structural design using cellular automata for eigenvalue problems, Structural and Multidisciplinary Optimization 26, 2004, 200-208.
• [2] Canyurt O.E., Haleja P., A SAND approach based on cellular computation models for analysis and optimization, Engineering Optimization, Vol. 2, No. 1, 2007, 381-396.
• [3] Cortes H., Tovar A., Munoz J.D., Patel N.M., Renaud J.E., Topology optimization of truss structures using cellular automata with accelerated simultaneous analysis and design, Proceedings of the Sixth World Congress on Structural and Multidisciplinary Optimization (WCSMO-6), Rio de Janeiro, Brasil 2005 (CD-ROM).
• [4] Ganguly N., Sikdar B.K., Deutsch A., Canright G., Chaudhuri P.P., A survey on cellular automata, Project BISON (IST-2001-38923), 2001.
• [5] Gurdal Z., Tatting B., Cellular automata for design of truss structures with linear and nonlinear response, Proceedings of the 41th AIAA/ASME/ASCE/AHS Structures, Structural Mechanics and Materials Conference, AIAA Atlanta, GA 2000, 2000-1580.
• [6] Haleja P., Kim B., On the use of energy minimization for CA based analysis in elasticity, Structural and Multidisciplinary Optimization 23, 2001, 24-33.
• [7] Hassani B., Tavakkoli S.M., Prevention of undesirable structural elements in three dimensional topology optimization, Asian Journal of Civil Engineering (Building and Housing), Vol. 4, No. 1, 2003, 11-21.
• [8] Hassani B., Tavakkoli S.M., A multi-objective structural optimization using optimality criteria and cellular automata, Asian Journal of Civil Engineering (Building and Housing), Vol. 8, No. 1, 2007, 77-88.
• [9] Inou N., Shimotai N., Uesugi T., A cellular automaton generating topological structures, Proceedings of the 2nd European Conference on Smart Structures and Materials, 2361, 1994, 47-50.
• [10] Inou N., Yashiki H., Morikawa S., Kimoto H., Ujihashi S., Super-Mechano-Colony Self-organizing a Mechanical Structure, Proceedings of the IEEE International Conference on Systems, Man and Cybernetis, Tokyo 1999, Vol. 3, 1999, 193-198.
• [11] Kita E., Toyoda T., Structural design using cellular automata, Structural and Multidisciplinary Optimization, 19, 2000, 64-73.
• [12] Missoum S., Gurdal Z., Setoodeh S., Study of a new local update scheme for cellular automata in structural design, Structural and Multidisciplinary Optimization 29, 2005, 103-112.
• [13] Narvaez C.A., Bustos O.L., Tovar A., Tuned Proportional-Integral-Derivative Control for Topology Optimization Using the Hybrid Cellular Automata, Proceedings of the Seventh World Congress on Structural and Multidisciplinary Optimization, Seoul, Korea 2007.
• [14] Dharmacherla R.R., Barai S.K., Structural Optimization using Cellular Automata, Journal Computing of Lateral, Vol. 2, No. 1, 2005, 14-21.
• [15] Setoodeh S., Abdalla M.M., Gurdal Z., Combined topology and fiber path design of composite layers using cellular automata, Structural and Multidisciplinary Optimization 30, 2005, 413-421.
• [16] Setoodeh S., Adams D.B., Gurdal Z., Watson L., Pipeline implementation of cellular automata for structural design on message-passing multiprocessors, Mathematical and Computer Modelling 43, 2006, 966-975.
• [17] Slotta D.J., Tatting L.T., Watson L.T., Gurdal Z., Missoum S., Convergence analysis for cellular automata applied to truss design, Engrg. Comput. 19, 2002, 953-969.
• [18] Speller T.H. Jr., Whitney D., Crawley E., Using Shape Grammar to Derive Cellular Automata Rule Patterns, Complex Systems 17, 2007, 79-102.
• [19] Tatting B., Gurdal Z., Cellular automata for design of two-dimensional continuum structures, Proceedings of Eighth AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Long Beach, CA 2000, 2000-4832.
• [20] Tovar A., Niebur G.L., Sen M., Renaud J.E., Bone structure adaptation as a cellular automaton optimization process, Proceedings of the 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Palm Springs, California 2004.
• [21] Tovar A., Quevedo W.I., Patel N.M., Renaud J.E., Hybrid cellular automata with local control rules: a new approach to topology optimization inspired by bone functional adaptation, Proceedings of the Sixth World Congress on Structural and Multidisciplinary Optimization, Rio de Janeiro, Brazil 2005.
• [22] Tovar A., Quevedo W.I., Patel N.M., Renaud J.E., Topology optimization with stress and displacement constraints using the hybrid cellular automaton method, Proceedings of the Trird European Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering, Springer, Lisbon, Portugal 2006, (CD-ROM).
• [23] Tovar A., Patel N.M., Niebur G.L., Sen M., Renaud J.E., Topology optimization using a hybrid cellular automaton method with local control rules, Journal of Mechanical Design 128, 2006, 1205-1216.
• [24] Ulam S., Random processes and transformations, Proceedings of the International Congress of Mathematics 2, 1952, 85-87.
• [25] Von Neumann J., Theory of self-reproducing automata, University of Illinois Press, Urbana, IL 1966.
• [26] Wolfram S., Cellular automata and complexity: collected papers, Addison–Wesley Publishing Company, Reading, MA 1994.