Buckling topology optimization of laminated multi-material composite shell structures

Composite Structures

Volumn 91, Issue 2, 2009, Pages 158-167

  Lund, Erik ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

Buckling optimization; Composite structures; Design sensitivity analysis; Discrete Material Optimization; Topology optimization

Indexed keywords

BUCKLING LOAD FACTOR; BUCKLING OPTIMIZATION; CANDIDATE MATERIALS; COMBINATORIAL PROBLEM; COMPOSITE SHELL; DESIGN OPTIMIZATION; DESIGN PROBLEMS; DESIGN SENSITIVITY ANALYSIS; DISCRETE MATERIAL OPTIMIZATION; DISCRETE MATERIAL OPTIMIZATIONS; DISCRETE OPTIMIZATION PROBLEMS; FIBER ORIENTATIONS; GRADIENT BASED; MATERIAL STIFFNESS; MULTILAYERED PLATES; PHASE TOPOLOGY; SHELL MODELS; TOPOLOGY OPTIMIZATION; WEIGHTED SUM; WIND TURBINE BLADES;

BUCKLING; DESIGN; LAMINATING; MATHEMATICAL PROGRAMMING; SENSITIVITY ANALYSIS; SHAPE OPTIMIZATION; STRUCTURE (COMPOSITION); SUPPORTS; TOPOLOGY; TURBINES; WIND POWER;

STRUCTURAL OPTIMIZATION;

BUCKLING; LAMINATE; OPTIMIZATION; STIFFNESS; STRUCTURAL ANALYSIS;

EID: 67349155909     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2009.04.046     Document Type: Article

References (42)

1. Stegmann J. Analysis and optimization of laminated composite shell structures, Ph.D. Thesis, Institute of Mechanical Engineering, Aalborg University, Denmark, special report no. 54. http://www.ime.aau.dk/~js (2004).
2. Stegmann J., and Lund E. Discrete material optimization of general composite shell structures. Int J Numer Meth Eng 62 14 (2005) 2009-2027
3. Lund E., and Stegmann J. On structural optimization of composite shell structures using a discrete constitutive parametrization. Wind Energy 8 1 (2005) 109-124
4. Gürdal Z., Haftka R., and Hajela P. Design and optimization of laminated composite materials (1999), John Wiley & Sons, New York
5. Abrate S. Optimal design of laminated plates and shells. Compos Struct 29 (1994) 269-286
6. Prager W. Optimization of structural design. J Optimiz Theory Appl 6 (1970) 1-21
7. Masur E. Optimum stiffness and strength of elastic structures. J Eng Mech Div, ASCE 96 (1970) 621-640
8. Wasiutynski Z. On the congruency of the forming according to the minimum potential energy with that according to equal strength. Bull Acad Pol Sci-Sci Tech 8 6 (1960) 259-268
9. Pedersen P. On optimal orientation of orthotropic materials. Struct Optimiz 1 2 (1989) 101-106
10. Pedersen P. Bounds on elastic energy in solids of orthotropic materials. Struct Multidiscip Optimiz 2 (1990) 55-63
11. Pedersen P. On thickness and orientational design with orthotropic materials. Struct Optimiz 3 (1991) 69-78
12. Banichuk N. Problems and methods of optimal structural design (1983), Plenum Press, New York
13. Sacchi-Landriani G., and Rovati M. Optimal design for two-dimensional structures made of composite materials, Transactions of the ASME. J Eng Mater Technol 113 1 (1991) 88-92
14. Moita J.S., Barbosa J.I., Soares C.M.M., and Soares C.A.M. Sensitivity analysis and optimal design of geometrically non-linear laminated plates and shells. Comput Struct 79 (2000) 407-420
15. Bruyneel M., and Fleury C. Composite structures optimization using sequential convex programming. Adv Eng Softw 33 (2002) 697-711
16. Tsai S, Pagano N. Invariant properties of composite materials. In: Tsai SW, et al., editors. Composite materials workshop, vol. 1 of progress in material science, Stamfort, Connecticut: Technomic Publishing Co.; 1968. p. 233-53.
17. Miki M., and Sugiyama Y. Optimum design of laminated composite plates using lamination parameters. AIAA J 31 (1993) 921-922
18. Hammer V., Bendsøe M., Lipton R., and Pedersen P. Parametrization in laminate design for optimal compliance. Int J Solids Struct 34 (1997) 415-434
19. Fukunaga H., and Vanderplaats G. Stiffness optimization of orthotropic laminated composites using lamination parameters. AIAA J 29 4 (1991) 641-646
20. Foldager J., Hansen J., and Olhoff N. Optimization of the buckling load for composite structures taking thermal effects into account. Struct Multidiscip Optimiz 21 (2001) 14-31
21. Foldager J., Hansen J., and Olhoff N. A general approach forcing convexity of ply angle optimization in composite laminates. Struct Optimiz 16 (1998) 201-211
22. Martin A., and Leissa A. Application of ritz method to plane elasticity problems for composite sheets with variable fiber spacing. Int J Numer Methods Eng 28 (1989) 1813-1825
23. Thomsen J., and Olhoff N. Optimization of fiber orientation and concentration in composites. Control Cybern 19 (1990) 327-341
24. Thomsen J. Optimization of composite discs. Struct Multidiscipl Optimiz 3 (1991) 89-98
25. Hansel W., and Becker W. Layerwise adaptive topology optimization of laminate structures. Eng Comput 16 7 (1999) 841-851
26. Duvaut G., Terrel G., Léné F., and Verijenko V. Optimization of fiber reinforced composites. Compos Struct 48 (2000) 83-89
27. Setoodeh S., Abdalla M., and Gürdal Z. Combined topology and fiber path design of composite layers using cellular automata. Struct Multidiscip Optimiz 30 (2005) 413-421
28. Bendsøe M., and Sigmund O. Topology optimization - theory, methods applications. 2nd ed. (2003), Springer
29. Dvorkin E., and Bathe K. A continuum mechanics based four-node shell element for general nonlinear analysis. Eng Comput 1 (1984) 77-88
30. Courant R., and Hilbert D. Methods of mathematical physics vol. 1 (1953), Interscience Publishers, New York
31. Wittrick W. Rates of change of eigenvalues, with reference to buckling and vibration problems. J Roy Aeronaut Soc 66 (1962) 590-591
32. Barthelemy B., and Haftka R. Accuracy analysis of the semi-analytical method for shape sensitivity analysis. Mech Struct Mach 18 (1990) 407-432
33. Olhoff N., Rasmussen J., and Lund E. "Exact" numerical differentiation for error elimination in finite element based semi-analytical shape sensitivity analysis. Mech Struct Mach 21 (1993) 1-61
34. Seyranian A., Lund E., and Olhoff N. Multiple eigenvalues in structural optimization problems. Struct Optimiz 8 (1994) 207-227
35. Pedersen N.L. On design of fiber-nets and orientation for eigenfrequency optimization of plates. Comput Mech 39 1 (2006) 1-13
36. Lund E. Finite element based design sensitivity analysis and optimization, Ph.D. Thesis, Institute of Mechanical Engineering, Aalborg University, Denmark, special report no. 23; 1994. http://www.ime.aau.dk/~el.
37. Bendsøe M., Olhoff N., and Taylor J. A variational formulation for multicriteria structural optimization. J Struct Mech 11 (1983) 523-544
38. Svanberg K. The method of moving asymptotes - a new method for structural optimization. Numer Method Eng 24 (1987) 359-373
39. Sigmund O., and Torquato S. Design of materials with extreme thermal expansion using a three-phase topology optimization method. J Mech Phys Solids 45 (1997) 1037-1067
40. Gibiansky L., and Sigmund O. Multiphase composites with extremal bulk modulus. J Mech Phys Solids 48 (2000) 461-498
41. Kühlmeier L, Thomsen O, Lund E. Large scale buckling experiment and validation of predictive capabilities. In: Proc. ICCM15 - fifteenth international conference on composite materials, Durban, South Africa, June 27-July 1, 2005.
42. Kühlmeier L. Buckling of wind turbine rotor blades - analysis, design and experimental validation, Ph.D. Thesis, Institute of Mechanical Engineering, Aalborg University, Denmark, special report no. 58; 2006.