Abstract
Recent discussions in the editorial committee of the SMO Journal, following a forum article (Sigmund, Struct Multidisc Optim 43(5):589–596, 2011) on non-gradient methods in topology optimization, have shown that an analysis of global optimization contributions to SMO might be useful.
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SIMP: Solid Isotropic Material with Penalization.
References
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Sigmund O (2011) On the usefulness of non-gradient approaches in topology optimization. Struct Multidisc Optim 43(5):589–596
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Appendices
Appendix A: Some articles dealing with global optimization applied to structural or fluid mechanics with over 100 google scholar citations in October 2011
[The following articles were found (1) by using the key words “global” and “optimization” in Google Scholar (2) in the authors bibliographical lists]
Cheng NT (1994) Augmented Lagrangian genetic algorithm for structural optimization. J Aerosp Eng 7(1):104–118. ISI 79, Google 127
Daven DM, Tit N, Morris JR, Ho KM (1996) Structural optimization of Lennard–Jones clusters by a genetic algorithm. Chem Phys Lett 256(1–2):195–200. ISI 150, Google 205
Fourie PC, Groenwold AA (2002) The particle swarm optimization algorithm in size and shape optimization Struct Multidisc Optim 23(4):259–267. ISI: 97, Google: 171
Hajela P (1990) Genetic search—an approach to the nonconvex optimization problem AIAA J 28(7):1205–1210. ISI 90, Google 182
Hajela P, Lin C-Y (1992) Genetic search strategies in multicriterion optimal design. Struct Multidisc Optim 4(2):99–107. Google 492
Jenkins WM (1991) Towards structural optimization via the genetic algorithm. Comput Struct 40(5):1321–1327. ISI 89, Google 147
Jones DR, Schonlau M, Welch WJ (1998) Efficient global optimization of expensive Black-Box functions. J Glob Optim 13(4). Google 768
Krishnamoorthy CS, Rajeev S (1992) Discrete optimization of structures using genetic algorithms J Struct Eng - ASCE 118(5):1233-1250. ISI 226, Google 334
Le Riche R, Haftka RT (1993) Optimization of laminate sequence for buckling load maximization by genetic algorithm. AIAA J 31(5):564–570. ISI 135, Google 269
Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82(9–10):781–198. ISI 129, Google 206
Lin CY, Hajela P (1992) Genetic algorithms in optimization problems with discrete and integer design variables. Eng Optim 19(4):309–327. Google 136
Nagendra S, Jestin D, Gürdal Z, Haftka RT, Watson LT (1996) Improved genetic algorithms for the design of stiffened composite panels. Comput Struct 58(3):543–555. ISI 73, Google 105
Ong YS, Nair PB, Keane AJ (2003) Evolutionary optimization of computationally expensive problems via surrogate modeling. AIAA J 41(4):687–696. Google 150
Schutte JF, Reinbolt JA, Fregly BJ, Haftka RT, George AD (2004) Parallel global optimization with the particle swarm algorithm. Int J Numer Methods Eng 61:2296–2315. doi:10.1002/nme.1149. Google 155
Appendix B: Complementary list of publications about global optimization with mechanical engineering applications
[These articles are examples of global optimization contributions with mechanical applications coming from recognized teams in the field and which are not based on metaphors.]
Bichon BJ, Eldred MS, Swiler LP, Mahadevan S, McFarland JM (2007) Multimodal reliability assessment for complex engineering applications using efficient global optimization, paper AIAA-2007-1946. In: Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference (9th AIAA non-deterministic approaches conference), Honolulu, HI, 23–26 April, Google 12
Bieniawski SR, Kroo IM, Wolpert DH (2004) Discrete, continuous, and constrained optimization using collectives. In: Proceedings of 10th AIAA/ISSMO multidisciplinary analysis and optimization conference. Google 44
Cox SE, Haftka RT, Baker CA, Grossman B, Mason WH, Watson LT (2001) A comparison of global optimization methods for the design of a high-speed civil transport. J Glob Optim 21:415–433. Google 42
Eldred MS, Hart WE, Bohnhoff WJ, Romero VJ, Hutchinson SA, Salinger AG (1996) Utilizing object-oriented design to build advanced optimization strategies with generic implementation. In: AIAA/NASA/ISSMO 6th symposium on multidisciplinary analysis and optimization, AIAA Paper 96-4164, Reston, VA. Google 35
Villemonteix J, Vazquez E, Sidorkiewicz M, Walter E (2008) Global optimization of expensive-to-evaluate functions: an empirical comparison of two sampling criteria. J Glob Optim 43(2):373–389. Google 17
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Le Riche, R., Haftka, R.T. On global optimization articles in SMO. Struct Multidisc Optim 46, 627–629 (2012). https://doi.org/10.1007/s00158-012-0785-5
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DOI: https://doi.org/10.1007/s00158-012-0785-5