A family of MMA approximations for structural optimization

Structural and Multidisciplinary Optimization

Volumn 24, Issue 4, 2002, Pages 263-276

  Bruyneel, M ^a   Duysinx, P ^a   Fleury, C ^a  

^a UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Method of moving asymptotes; Structural approximations

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPOSITE STRUCTURES; GRADIENT METHODS; HEURISTIC METHODS; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; LINEARIZATION; MATHEMATICAL PROGRAMMING; PARTIAL DIFFERENTIAL EQUATIONS; STRUCTURAL DESIGN; TRUSSES;

COMPOSITE DESIGN; METHOD OF MOVING ASYMPTOTES; SHAPE OPTIMIZATION; STRUCTURAL APPROXIMATIONS;

STRUCTURAL OPTIMIZATION;

EID: 0036810519     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-002-0238-7     Document Type: Article

References (17)

1. Bruyneel, M.; Fleury, C. (2000): Composite structures optimization using sequential convex programming. In: Topping, B.H.V. (ed.) Proc. 5-th International Conference on Computational Structures Technology, pp. 243-254. Edinburgh: Civil Comp. Press
2. Bruyneel, M.; Vermaut, O.; Fleury, C. 1999: Two point based approximation schemes for optimal orientation in laminates. Proc. WCSMO-3 (held in Buffalo), pp. 378-380 (CD-Rom)
3. Chickermane, H.; Gea, H.C. 1996: Structural optimization using a new local approximation method. Int. J. Numer. Meth. Engrg. 39, 829-846
4. Duysinx, P.; Zhang, W.H.; Fleury, C.; Nguyen, V.H.; Haubruge, S. 1995: A new separable approximation scheme for topological problems and optimization problems characterized by a large number of design variables. In: Rozvany, G.I.N.; Olhoff, N. (eds.) Proc. First World Congress of Structural and Multidisciplinary Optimization (held in Goslar, Germany), pp. 1-8. Oxford: Pergamon
5. Fadel, G.; Riley, R.; Barthelemy, J-F. 1990: Two point exponential approximation method for structural optimization. Struct. Optim. 2, 117-124
6. Fleury, C. 1989: Efficient approximation concepts using second order information. Int. J. Numer. Meth. Engrg. 28, 2041-2058
7. Fleury, C. 1993: Mathematical programming methods for constrained optimization: dual methods. In: Kamat, M.P. (ed.) Structural optimization: status and promise, Chapt. 7, pp. 123-150. AIAA
8. Fleury, C.; Braibant, V. 1986: Structural optimization: a new dual method using mixed variables. Int. J. Numer. Meth. Engrg. 23, 409-428
9. Schmit, L.A.; Fleury, C. 1980: Structural synthesis by combining approximation concepts and dual methods. AIAA J. 18, 1252-1260
10. Smaoui, H.; Fleury, C.; Schmit, L.A. 1988: Advances in dual algorithms and convex approximations methods. Proc. AIAA/ASME/ASCE 29 Structures, Structural Dynamics and Materials Conf., pp. 1339-1347
11. Svanberg, K. 1987: The method of moving asymptotes - a new method for structural optimization. Int. J. Numer. Meth. Engrg. 24, 359-373
12. Svanberg, K. 1995a: A globally convergent version of MMA without linesearch. In: Rozvany, G.I.N.; Olhoff, N. (eds.) Proc. First World Congress of Structural and Multidisciplinary Optimization (held in Goslar, Germany), pp. 9-16. Oxford: Pergamon
13. Svanberg, K. 1995b: Non-mixed second order derivatives in MMA. Dept. of Mathematics, Royal Institute of Technology, Stockholm
14. Tsai, W.; Hahn, H.T. 1980: Introduction to composite materials. Wesport, USA: Technomic Publication Co.
15. Xu, S.; Grandhi, R. 2000: Multipoint approximation development: thermal structural optimization case study. Int. J. Numer. Meth. Engrg. 48, 1151-1164
16. Zhang, W.H.; Fleury, C. 1997: A modification of convex approximation methods for structural optimization. Comp. & Struct. 64, 89-95
17. Zhang, W.H.; Domaszewski, M.; Fleury, C. 1998: A new mixed convex approximation method with applications for truss configuration optimization. Struct. Optim. 15, 237-241