Abstract
Advanced nonlinear analyses developed for estimating structural responses for recent applications for the aerospace industry lead to expensive computational times. However optimization procedures are necessary to quickly provide optimal designs. Several possible optimization methods are available in the literature, based on either local or global approximations, which may or may not include sensitivities (gradient computations), and which may or may not be able to resort to parallelism facilities. In this paper Sequential Convex Programming (SCP), Derivative Free Optimization techniques (DFO), Surrogate Based Optimization (SBO) and Genetic Algorithm (GA) approaches are compared in the design of stiffened aircraft panels with respect to local and global instabilities (buckling and collapse). The computations are carried out with software developed for the European aeronautical industry. The specificities of each optimization method, the results obtained, computational time considerations and their adequacy to the studied problems are discussed.
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References
Arora JS (1997) Guide to structural optimization. ASCE manuals and reports on engineering practice, No. 90, ASCE, Reston, VA
Beckers P (1991) Recent developments in shape sensitivity analysis: the physical approach. Eng Optim 18:67–78
Bendsoe MP, Sigmund O (2003) Topology optimization: theory, methods, and applications. Springer, Berlin
Braibant V, Fleury C (1985) An approximate concepts approach to shape optimal design. Comput Methods Appl Mech Eng 53:119–148
Bruyneel M (2006) A general and effective approach for the optimal design of fibres reinforced composite structures. Compos Sci Technol 66:1303–1314
Bruyneel M, Fleury C (2002) Composite structures optimisation using sequential convex programming. Adv Eng Softw 33:697–711
Bruyneel M, Colson B, Remouchamps A (2008) Discussion on some convergence problems in buckling optimization. Struct Multidiscip Optim 35:181–186
Buhl T, Pedersen CBW, Sigmund O (2000) Stiffness design of geometrically non-linear structures using topology optimization. Struct Multidiscip Optim 19:93–104
COIN-OR. www.coin-or.org
Colson B, Bruyneel M, Grihon S, Jetteur P, Morelle P, Remouchamps A (2007) Composite panel optimization with nonlinear finite element analysis and semi-analytical sensitivities. NAFEMS seminar—simulating composite materials and structures, , Bad Kissingen, Germany, 6–7 November 2007
Conn AR, Scheinberg K, Toint PhL (1997a) Recent progress in unconstrained nonlinear optimization without derivatives. Math Program 79:397–414
Conn AR, Scheinberg K, Toint PhL (1997b) On the convergence of derivative-free methods for unconstrained optimization. In: Iserles A, Buhmann M (eds) Approximation theory and optimization: tributes to MJD Powell. Cambridge University Press, Cambridge, pp 83–108
Conn AR, Scheinberg K, Toint PhL (1998) A derivative free optimization algorithm in practice. In: Proceedings of 7th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization, St Louis, MO
Conn AR, Gould NIM, Toint PhL (2000) Trust-region methods. MPS/SIAM book series on optimization. SIAM, Philadelphia
Conn AR, Scheinberg K, Vicente LN (2008) Introduction to derivative-free optimization. MPS/SIAM book series on optimization. SIAM, Philadelphia
Fleury C (1973) Méthodes numériques d’optimisation de structures. Internal report SF19, Aerospace Laboratory, University of Liège, Belgium
Fleury C (1993) Dual methods for convex separable problems. In: Rozvany GIN (ed) Optimization of large structural systems, vol. I. Kluwer Academic, Dordrecht, pp 509–530
Goldberg D (1989) Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Reading
Lanzi L, Giavotto V (2006) Post-buckling optimization of composite stiffened panels: computations and experiments. Compos Struct 73:208–2030
Pedersen P (1991) On thickness and orientational design with orthotropic materials. Struct Optim 2:55–63
Radovcic Y, Remouchamps A (2002) BOSS quattro: an open system for parametric design. Struct Multidiscip Optim 23:140–152
Remouchamps A, Grihon S, Raick C, Colson B, Bruyneel M (2007) Numerical optimization: a design space odyssey. International workshop 2007: advancements in design optimization of materials, structures and mechanical systems, Xi’an, China, 17–20 December 2007
Riks E, Rankin C, Brogan F (1996) On the solution of mode jumping phenomena in thin walled shell structures. Comput Methods Appl Mech Eng 136:59–92
Saitou K, Izui K, Nishiwaki S, Papalambros P (2005) A survey of structural optimization in mechanical product development. Trans ASME 5:214–226
SAMTECH SAMCEF. Système d’analyse des milieux continus par eléments finis. www.samcef.com
Sauer T, Xu Y (1995) Computational aspects of multivariate polynomial interpolation. Adv Comput Math 3:219–238
Schmit LA, Farschi B (1974) Some approximation concepts for structural synthesis. AIAA J 12(5):692–699
Schmit LA, Mallet RH (1963) Structural synthesis and design parameter hierarchy. In: Proceedings of the 3rd ASCE conference on electronic computation, pp 269–300
Sigmund O (1995) Design of material structures using topology optimization. In: Rosvany GIN, Olhoff N (eds) First world congress of structural and multidisciplinary optimization, Goslar, Germany, 28 May–2 June 1995
Starnes JH (1980) Buckling and postbuckling research on flat and curved composite panels. NASA Langley Research Center, Online Report 80N28438
Swan CC, Kosaka I (1997) Voigt-Reuss topology optimization for structures with nonlinear material behaviors. Int J Numer Methods Eng 40(20):3785–3814
Zienkiewicz OC (1977) The finite element method, 3rd edn. McGraw-Hill, New York
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Colson, B., Bruyneel, M., Grihon, S. et al. Optimization methods for advanced design of aircraft panels: a comparison. Optim Eng 11, 583–596 (2010). https://doi.org/10.1007/s11081-008-9077-8
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DOI: https://doi.org/10.1007/s11081-008-9077-8