Parameter free shape and thickness optimisation considering stress response

Structural and Multidisciplinary Optimization

Volumn 45, Issue 6, 2012, Pages 801-814

  Arnout, Saartje ^a   Firl, Matthias ^b   Bletzinger, Kai Uwe ^b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

FE based parameterization; Parameter free optimisation; Shape and size optimisation; Shell structures

Indexed keywords

DESIGN APPROACHES; DESIGN FREEDOM; DESIGN VARIABLES; GLOBAL MEASURES; LOCAL SHAPE; LOCAL STRESS; NODAL COORDINATES; OPTIMAL STRUCTURES; OPTIMISATIONS; RESPONSE FUNCTIONS; SHAPE OPTIMISATION; SHELL STRUCTURE; STRESS RESPONSE;

DESIGN; STRUCTURAL OPTIMIZATION;

SHAPE OPTIMIZATION;

EID: 84861479708     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-011-0742-8     Document Type: Article

References (38)

1. Akgün M, Haftka R, Wu K, Walsh J, JH G (2001) Efficient structural optimization for multiple load cases using adjoint sensitivities. AIAA J 39(3):511-516 (Pubitemid 32255412)
2. Arnout S, Lombaert G, Degrande G, De Roeck G (2011) The optimal design of a barrel vault in the conceptual design stage. Comput Struct. doi:10.1016/j.compstruc.2011.10.013
3. Arora J (ed) (1997) Guide to structural optimization. No 90 in ASCE manuals and reports on engineering practice. ASCE, New York
4. Barthelemy B, Haftka R (1990) Accuracy analysis of the semianalytical method for shape sensitivity calculation. Mech Struct Mach 18(3):407-432
5. Bennet M, Botkin JA (1984) Structural shape optimization with geometric description and adaptive mesh refinement. AIAA J 23(1):458-464
6. Bletzinger KU, Firl M, Daoud F (2008) Approximation of derivatives in semi-analytical structural optimization. Comput Struct 86:1404-1416 (Pubitemid 351609079)
7. Bletzinger KU, Firl M, Linhard J, Wüchner R (2009a) Optimization of bead topologies for shell structures. In: 8th World congress on structural and multidisciplinary optimization. Lisbon, Portugal
8. Bletzinger KU, Linhard J, Wüchner R (2009b) Extended and integrated numerical form finding and patterning of membrane structures. J Int Assoc Shell Spat Struct 50(1):35-49
9. Bletzinger KU, Firl M, Fischer M (2010a) Parameter free shape design of thin shells: efficient and effective, parallel solution techniques for very large design problems. In: 2nd international conference on engineering optimization. Lisbon, Portugal
10. Bletzinger KU, Firl M, Linhard J, Wüchner R (2010b) Optimal shapes of mechanically motivated surfaces. Comput Methods Appl Mech Eng 199:324-333
11. Braibant V, Fleury C (1984) Shape optimal design using B-splines. Comput Methods Appl Mech Eng 44:247-267 (Pubitemid 14623088)
12. Chang K (1992) Optimality criteria methods using K-S functions. Struct Optim (4):213-217
13. Cheng G, Olhoff N (1993) New method of error analysis and detection in semi-analytical sensitivity analysis. In: Rozvany G (ed) Optimization of large structural systems, vol 1 and 231, pp 361-383
14. Farin G (1990) Curves and surfaces for computer aided geometric design, 2nd edn. Computer Science and Scientific Computing, Academic Press, San Diego
15. Firl M (2010) Optimal shape design of shell structures. Phd thesis, Chair of structural analysis, Technische Universität München
16. Haftka R, Gürdal Z (1992) Elements of structural optimization. Solid mechanics and its applications, vol 11. Kluwer Academic Publishers, Dordrecht, The Netherlands
17. Hinton E, Rao N, Ozakca M (1991) An integrated approach to structural shape optimization of linearly elastic structures. Part I: general methodology. Comput Syst Eng 2(1):27-39
18. Holzleitner L, Mahmoud K (1999) Structural shape optimization using MSC/NASTRAN and sequential quadratic programming. Comput Struct 70:487-514
19. Imam M (1982) Three-dimensional shape optimization. Int J Numer Methods Eng 18(5):661-673
20. Kegl M, Brank B (2006) Shape optimization of truss-stiffend shell structures with variable thickness. Comput Methods Appl Mech Eng 195(19-22):2611-2634
21. Kirsch U (1993) Structural optimization. Springer
22. Lagaros N, Papadopoulos V (2006) Optimum design of shell structures with random geometric, material and thickness imperfections. Int J Solids Struct 43:6948-6964 (Pubitemid 44442180)
23. Lagaros N, Fragiadakis M, PapadrakakisM(2004) Optimum design of shell structures with stiffening beams. AIAA J 42(1):175-184
24. Le C, Norato J, Bruns T, Ha C, Tortorelli D (2010) Stress-based topology optimization for continua. Struct Multidisc Optim 41(4): 605-620
25. Le C, Bruns T, Tortorelli D (2011) A gradient-based, parameter-free approach to shape optimization. Comput Methods Appl Mech Eng 200:985-996
26. Lee S, Hinton E (2000) Dangers inherited in shells optimized with linear assumptions. Comput Struct 78:473-486
27. Martins J, Poon M (2005) On structural optimization using constraint aggregation. In: Proceedings of the 6th World congress on strucutral and multidisciplinary optimization. Rio de Janeiro, Brazil
28. París J, Navarrina F, Colominas I, Casteleiro M (2010) Stress constraints sensitivity analysis in structural topology optimization. Comput Methods Appl Mech Eng 199:2110-2122
29. Pedersen N, Nielsen A (2003) Optimization of practical trusses with constraints on eigenfrequencies, displacements, stresses, and buckling. Struct Multidisc Optim 25:436-445
30. Qiu G, Li X (2010) A note on the derivation of global stress constriants. Struct Multidisc Optim 40:625-628
31. Schumacher A (2005) Optimierung mechanischer strukturen. Springer, Berlin
32. Shimoda M, Iwasa K, Azegami H (2009) A shape optimization method for the optimal free-form design of shell structures. In: 8th World congress on structural and multidisciplinary optimization. Lisbon, Portugal
33. Sobieszczanski-Sobieski J (1991) A technique for locating function roots and for satisfying equality constraints in optimization. NASA TM-10403 NASA LaRC
34. Taylor J, Bendsøe M (1984) An interpretation for min-max structural design problems including a method for relaxing constraints. Int J Solids Struct 20(4):301-314 (Pubitemid 14546317)
35. Tysmans T, Adriaenssens S, Wastiels J (2009) Shape optimization of small span textile reinforced cementitious composite shells. In: Proceedings of the international association for of shell & spatial structures symposium. Valencia, Spain
36. Wang D, Whang W, Jiang J (2002) Truss shape optimization with multiple displacements constraints. Comput Methods Appl Mech Eng 191:3597-3612 (Pubitemid 34811234)
37. Wüchner R, Bletzinger KU (2005) Stress-adapted numerical form finding of pre-stressed surfaces by the updated reference strategy. Int J Numer Methods Eng 64:143-166 (Pubitemid 41300349)
38. Zienkiewicz O, Campbell J (1973) Shape optimization and sequential linear programming. In: Gallagher R, Zienkiewicz O (eds) Optimum structural design.Wiley, New York, chap 7, pp 109-126