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Erschienen in: Engineering with Computers 3/2013

01.07.2013 | Original Article

Multi-objective topology optimization through GA-based hybridization of partial solutions

verfasst von: Alessandro Cardillo, Gaetano Cascini, Francesco Saverio Frillici, Federico Rotini

Erschienen in: Engineering with Computers | Ausgabe 3/2013

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Abstract

In a recent project the authors have developed an approach to assist the identification of the optimal topology of a technical system, capable of overcoming geometrical contradictions that arise from conflicting design requirements. The method is based on the hybridization of partial solutions obtained from mono-objective topology optimization tasks. In order to investigate efficiency, effectiveness and potentialities of the developed hybridization algorithm, a comparison among the proposed approach and traditional topology optimization techniques such as Genetic Algorithms (GAs) and gradient-based methods is presented here. The benchmark has been performed by applying the hybridization algorithm to several case studies of multi-objective optimization problems available in literature. The obtained results demonstrate that the proposed approach is definitely less expensive in terms of computational requirements, than the conventional application of GAs to topology optimization tasks, still keeping the same effectiveness in terms of searching the global optimum solution. Moreover, the comparison among the hybridized solutions and the solutions obtained through GAs and gradient-based optimization methods, shows that the proposed algorithm often leads to very different topologies having better performances.

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Literatur
1.
Zurück zum Zitat Kalyanmoy D (2001) Multi-objective optimization using evolutionary algorithms. Wiley, ChichesterMATH Kalyanmoy D (2001) Multi-objective optimization using evolutionary algorithms. Wiley, ChichesterMATH
2.
Zurück zum Zitat Cascini G, Cugini U, Frillici FS, Rotini F (2009) Computer-aided conceptual design through TRIZ-based density manipulation. In: Proceedings of 19th CIRP design conference, special session on systematic processes for creative and inventive design, Cranfield University, UK Cascini G, Cugini U, Frillici FS, Rotini F (2009) Computer-aided conceptual design through TRIZ-based density manipulation. In: Proceedings of 19th CIRP design conference, special session on systematic processes for creative and inventive design, Cranfield University, UK
3.
Zurück zum Zitat Cascini G, Rissone P, Rotini F (2007) From design optimization systems to geometrical contradictions. In: Proceedings of the 7th ETRIA TRIZ future conference, Frankfurt, Germany Cascini G, Rissone P, Rotini F (2007) From design optimization systems to geometrical contradictions. In: Proceedings of the 7th ETRIA TRIZ future conference, Frankfurt, Germany
4.
Zurück zum Zitat Altshuller GS (1994) Creativity as an exact science: the theory of the solution of inventive problems. Gordon and Breach, New York, ISBN 0-677-21230-5 (original publication in Russian, 1979) Altshuller GS (1994) Creativity as an exact science: the theory of the solution of inventive problems. Gordon and Breach, New York, ISBN 0-677-21230-5 (original publication in Russian, 1979)
5.
Zurück zum Zitat Cugini U, Cascini G, Muzzupappa M, Nigrelli V (2009) Integrated computer-aided innovation: the PROSIT approach. Comput Ind 60(8):629–641CrossRef Cugini U, Cascini G, Muzzupappa M, Nigrelli V (2009) Integrated computer-aided innovation: the PROSIT approach. Comput Ind 60(8):629–641CrossRef
6.
Zurück zum Zitat Cascini G, Cardillo A, Frillici FS, Rotini F (2009) A novel paradigm for computer-aided design: TRIZ-based hybridization of topologically optimized density distributions. In: Proceedings of the 3rd IFIP working conference on computer aided innovation (CAI): growth and development of CAI, August 20–21, 2009, Harbin, China, Springer, vol 304, pp 38–50. ISBN: 978-3-642-03345-2 Cascini G, Cardillo A, Frillici FS, Rotini F (2009) A novel paradigm for computer-aided design: TRIZ-based hybridization of topologically optimized density distributions. In: Proceedings of the 3rd IFIP working conference on computer aided innovation (CAI): growth and development of CAI, August 20–21, 2009, Harbin, China, Springer, vol 304, pp 38–50. ISBN: 978-3-642-03345-2
7.
Zurück zum Zitat Saitou K, Izui K, Nishiwaki S, Papalambros P (2005) A survey of structural optimization in mechanical product development. J Comput Inf Sci Eng 5(3):214–226CrossRef Saitou K, Izui K, Nishiwaki S, Papalambros P (2005) A survey of structural optimization in mechanical product development. J Comput Inf Sci Eng 5(3):214–226CrossRef
8.
Zurück zum Zitat Hutabarat W, Parks GT, Jarret JP, Dawes WN, Clarkson PJ (2008) Aerodynamic topology optimisation using an implicit representation and a multiobjective genetic algorithm. Artificial evolution, Lectures Notes in Computer Science, vol 4926, pp 148–159, Springer, Berlin Hutabarat W, Parks GT, Jarret JP, Dawes WN, Clarkson PJ (2008) Aerodynamic topology optimisation using an implicit representation and a multiobjective genetic algorithm. Artificial evolution, Lectures Notes in Computer Science, vol 4926, pp 148–159, Springer, Berlin
9.
Zurück zum Zitat Bruns TE (2007) Topology optimization of convection-dominated, steady-state heat transfer problems. Int J Heat Mass Transf 50.15-16:2859–2873CrossRef Bruns TE (2007) Topology optimization of convection-dominated, steady-state heat transfer problems. Int J Heat Mass Transf 50.15-16:2859–2873CrossRef
10.
Zurück zum Zitat Bruns TE, Tortorelli DA (2001) Topology optimization of non-linear elastic structures and compliant mechanisms. Comput Methods Appl Mech Eng 190(26–27):3443–3459CrossRef Bruns TE, Tortorelli DA (2001) Topology optimization of non-linear elastic structures and compliant mechanisms. Comput Methods Appl Mech Eng 190(26–27):3443–3459CrossRef
11.
Zurück zum Zitat Bulman S, Sienz J, Hinton E (2001) Comparisons between algorithms for structural topology optimization using a series of benchmark studies. Comput Struct 79:1203–1218CrossRef Bulman S, Sienz J, Hinton E (2001) Comparisons between algorithms for structural topology optimization using a series of benchmark studies. Comput Struct 79:1203–1218CrossRef
12.
Zurück zum Zitat Bendsoe MP, Sigmund O (2003) Topology optimization theory, methods and applications. Springer, Berlin. ISBN: 3-540-42992-1 Bendsoe MP, Sigmund O (2003) Topology optimization theory, methods and applications. Springer, Berlin. ISBN: 3-540-42992-1
13.
Zurück zum Zitat Wang SY, Tai K (2004) Structural topology design optimization using genetic algorithms with a bit-array representation. Comput Methods Appl Mech Eng 194:3749–3770CrossRef Wang SY, Tai K (2004) Structural topology design optimization using genetic algorithms with a bit-array representation. Comput Methods Appl Mech Eng 194:3749–3770CrossRef
14.
Zurück zum Zitat Wang SY, Tai K (2004) Graph representation for evolutionary structural topology optimization. Comput Struct 82(20, 21):1609–1622MathSciNetCrossRef Wang SY, Tai K (2004) Graph representation for evolutionary structural topology optimization. Comput Struct 82(20, 21):1609–1622MathSciNetCrossRef
16.
Zurück zum Zitat Zuo ZH, Xie YM, Huang X (2009) Combining genetic algorithms with BESO for topology optimization. Struct Multidiscip Optim 38:511–523CrossRef Zuo ZH, Xie YM, Huang X (2009) Combining genetic algorithms with BESO for topology optimization. Struct Multidiscip Optim 38:511–523CrossRef
17.
Zurück zum Zitat Junzhao L, Zhen L, Liping C, Liyong T, Michael YW (2008) A semi-implicit level set method for structural shape and topology optimization. J Comput Phys 227:5561–5581MathSciNetMATHCrossRef Junzhao L, Zhen L, Liping C, Liyong T, Michael YW (2008) A semi-implicit level set method for structural shape and topology optimization. J Comput Phys 227:5561–5581MathSciNetMATHCrossRef
18.
Zurück zum Zitat Balamurugan R, Ramakrishnan CV, Singh N (2008) Performance evaluation of a two stage adaptive genetic algorithm (TSAGA) in structural topology optimization. Appl Softw Comput 8:1607–1624CrossRef Balamurugan R, Ramakrishnan CV, Singh N (2008) Performance evaluation of a two stage adaptive genetic algorithm (TSAGA) in structural topology optimization. Appl Softw Comput 8:1607–1624CrossRef
19.
Zurück zum Zitat Liua X, Yia W, Lib QS, Shena P (2008) Genetic evolutionary structural optimization. J Constr Steel Res 64:305–311CrossRef Liua X, Yia W, Lib QS, Shena P (2008) Genetic evolutionary structural optimization. J Constr Steel Res 64:305–311CrossRef
20.
Zurück zum Zitat Chen Z, Gao L, Qiu H, Shao X (2009) Combining genetic algorithms with optimality criteria method for topology optimization. In: Proceedings of bio-inspired computing BIC-TA 09, 16–19 Oct. 2009, Beijing, pp 1–6. ISBN: 978-1-4244-3866-2, doi:10.1109/BICTA.2009.5338131 Chen Z, Gao L, Qiu H, Shao X (2009) Combining genetic algorithms with optimality criteria method for topology optimization. In: Proceedings of bio-inspired computing BIC-TA 09, 16–19 Oct. 2009, Beijing, pp 1–6. ISBN: 978-1-4244-3866-2, doi:10.​1109/​BICTA.​2009.​5338131
21.
Zurück zum Zitat Chen Z, Gao L, Qiu H, Shao X (2009) A GAOC method for topology optimization design. In: Proceedings of intelligent computation technology and automation. 2009 ICICTA ‘09, 10–11 Oct 2009, Changsha, Hunan, pp 293-296. ISBN: 978-0-7695-3804-4, doi:101109/ICICTA2009537 Chen Z, Gao L, Qiu H, Shao X (2009) A GAOC method for topology optimization design. In: Proceedings of intelligent computation technology and automation. 2009 ICICTA ‘09, 10–11 Oct 2009, Changsha, Hunan, pp 293-296. ISBN: 978-0-7695-3804-4, doi:101109/​ICICTA2009537
22.
Zurück zum Zitat Rozvany GIN (2009) A critical review of established methods of structural topology optimization. Struct Multidiscip Optim 37:217–237MathSciNetMATHCrossRef Rozvany GIN (2009) A critical review of established methods of structural topology optimization. Struct Multidiscip Optim 37:217–237MathSciNetMATHCrossRef
23.
Zurück zum Zitat Prushinskiy V, Zainiev G, Gerasimov V (2005) Hybridization: the new warfare in the battle for the market. Ideation International Inc., Southfield, MI Prushinskiy V, Zainiev G, Gerasimov V (2005) Hybridization: the new warfare in the battle for the market. Ideation International Inc., Southfield, MI
24.
Zurück zum Zitat Leon-Rovira N, Cueva JM, Silva D et al (2007) Automatic shape and topology variations in 3D CAD environments for genetic optimization. Int J Comput Appl Technol 30(1/2):59–68CrossRef Leon-Rovira N, Cueva JM, Silva D et al (2007) Automatic shape and topology variations in 3D CAD environments for genetic optimization. Int J Comput Appl Technol 30(1/2):59–68CrossRef
25.
Zurück zum Zitat Aguilar Madeira JF, Rodrigues H, Pina H (2005) Multi-objective optimization of structures topology by genetic algorithms. Adv Eng Softw 36:21–28MATHCrossRef Aguilar Madeira JF, Rodrigues H, Pina H (2005) Multi-objective optimization of structures topology by genetic algorithms. Adv Eng Softw 36:21–28MATHCrossRef
26.
Zurück zum Zitat Kane C, Shoenauer M (1996) Topological optimum design using genetic algorithms. Control Cybern 25(5):1–25 Kane C, Shoenauer M (1996) Topological optimum design using genetic algorithms. Control Cybern 25(5):1–25
Metadaten
Titel
Multi-objective topology optimization through GA-based hybridization of partial solutions
verfasst von
Alessandro Cardillo
Gaetano Cascini
Francesco Saverio Frillici
Federico Rotini
Publikationsdatum
01.07.2013
Verlag
Springer-Verlag
Erschienen in
Engineering with Computers / Ausgabe 3/2013
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-012-0272-z

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