Improved fractal branch and bound method for stacking-sequence optimizations of laminates

AIAA Journal

Volumn 42, Issue 1, 2004, Pages 141-148

  Todoroki, Akira ^a   Terada, Yuichiro ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMIC LOADS; APPROXIMATION THEORY; BUCKLING; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FRACTALS; GENETIC ALGORITHMS; LAMINATED COMPOSITES; OPTIMIZATION; POLYNOMIALS; STIFFNESS;

BRANCH AND BOUND METHOD; HAT TYPE STIFFENER STRUCTURE; STACKING SEQUENCE OPTIMIZATION;

AIRCRAFT PARTS AND EQUIPMENT;

EID: 0842268985     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.9038     Document Type: Article

References (27)

1. Haftka, R. T., and Walsh, J. L., "Stacking-Sequence Optimization for Buckling of Laminated Plates by Integer Programming," AIAA Journal, Vol. 30, No. 3, 1992, pp. 814-819.
2. Callahan, K. J., and Weeks, G. E., "Optimum Design of Composite Laminates Using Genetic Algorithms," Composites Engineering, Vol. 2, No. 3, 1992, pp. 149-160.
3. Le Riche, R., and Haftka, R. T., "Optimization of Laminate Stacking Sequence for Buckling Load Maximization by Genetic Algorithm," AIAA Journal, Vol. 31, No. 5, 1993, pp. 951-956.
4. Ball, N. R., Sargent, P. M., and Igre, D. O., "Genetic Algorithm Representation for Laminate Layups," Artificial Intelligence in Engineering, Vol. 8, No. 2, 1993, pp. 99-108.
5. Kogiso, N., Watson, L. T., Gürdal, Z., Haftka, R. T., and Nagendra, S., "Design of Composite Laminates by a Genetic Algorithm with Memory," Mechanics of Composite Materials and Structures, Vol. 1, 1994, pp. 95-117.
6. Kogiso, N., Watson, L. T., Gürdal, Z., and Haftka, R. T., "Genetic Algorithms with Local Improvement for Composite Laminate Design," Structural Optimization, Vol. 7, 1994, pp. 207-218.
7. Le Riche, R., and Haftka, R. T., "Improved Genetic Algorithm for Minimum Thickness Composite Laminate Design," Composites Engineering, Vol. 5, No. 2, 1995, pp. 143-161.
8. Harrison, P. N., Le Riche, R., and Haftka, R. T., "Design of Stiffened Composite Panels by Genetic Algorithm and Response Surface Approximations," Proceedings of the 36th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Pt. 1, AIAA, Washington, DC, 1995, pp. 58-68.
9. Nagendra, S., Jestin, D., Gürdal, Z., Haftka, R. T., and Watson, L. T., "Improved Genetic Algorithm for the Design of Stiffened Composite Panels," Composite Structures, Vol. 58, No. 3, 1995, pp. 543-555.
10. Marcelin, J. L., and Trompette, P. "Optimal Structural Damping of Skis Using a Genetic Algorithm," Structural Optimization, Vol. 10, 1995, pp. 67-70.
11. Venter, G., and Haftka, R. T., "A Two Species Genetic Algorithm for Designing Composite Laminates Subject to Uncertainty," 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA, Reston, VA, 1996, pp. 1848-1857.
12. Malott, B., Averill, R. C., Goodman, E. D., Ding, Y., and Punch, W. F., "Use of Genetic Algorithms for Optimal Design of Laminated Composite Sandwich Panels with Bending-Twisting Coupling," 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA, Reston, VA, 1996, p. 1874-1881.
13. Hajela, P., and Lee, J., "Constrained Genetic Search via Schema Adoption: An Immune Network Solution," Structural Optimization, Vol. 12, 1996, pp. 11-15.
14. Yamazaki, K., "Two-Level Optimization Technique of Composite Laminate Panels by Genetic Algorithms," 37th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, AIAA, Reston, VA, 1996, pp. 1882-1887.
15. Ohta, Y., and Haftka, R. T., "Optimization of FRP Laminated Plates Under Uncertainty by Fuzzy-Set and Genetic Algorithm," Proceedings of the 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Material Conference, AIAA, Reston, VA, 1997, pp. 1325-1330.
16. Todoroki, A., and Haftka, R. T., "Stacking Sequence Matching by Two-Stage Genetic Algorithm with Consanguineous Initial Population," Proceedings of the 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Material Conference, AIAA, Reston, VA, 1997, pp. 1297-1302.
17. Todoroki, A., and Haftka, R. T., "Stacking Sequence Matching by Using Genetic Algorithm with Repair," Composites Part B, Vol. 29B, NO. 8, 1998, pp. 277-285.
18. McMahon, M. T., Watson, L. T., Soremekun, G. A., Gürdal, Z., and Haftka, R. T., "A Fortran 90 Genetic Algorithm Module for Composite Laminate Structure Design," Engineering with Computers, Vol. 14, 1998, pp. 260-273.
19. Todoroki, A., and Haftka, R. T., "Lamination Parameters for Efficient Genetic Optimization of the Stacking Sequences of Composite Panels," Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Reston, VA, 1998, pp. 870-879.
20. Haftka, R. T., "Genetic Algorithms for Optimization of Composite Laminates," NATO Advanced Study Institute, July 1998, in Mechanics of Composite Materials and Structures, edited by A. Mota Soares, Kluwer Academic, Norwell, MA, 1999, pp. 431-441.
21. Liu, B., Haftka, R. T., Akgün, M., and Todoroki, A., "Permutation Genetic Algorithm for Stacking Sequence Design of Composite Laminates," Computer Methods in Applied Mechanics and Engineering, Vol. 186, 2000, pp. 357-372.
22. Park, J. H., Hwang, J. H., Lee, C. S., and Hwang, W., "Stacking Sequence Design of Composite Laminates for Maximum Strength Using Genetic Algorithms," Composite Structures, Vol. 52, 2001, pp. 217-231.
23. Miki, M., "Design of Laminated Fibrous Composite Plates with Required Flexural Stiffness," ASTM, STP, 864, 1985, pp. 387-400.
24. Terada, Y., Todoroki, A., and Shimamura, Y., "Stacking Sequence Optimizations Using Fractal Branch and Bound Method for Laminated Composites," JSME International Journal, Series A, Vol. 44, No. 4, 2001, pp. 490-498.
25. Gürdal, Z., Haftka, R. T., and Hajela, P., Design and Optimization of Laminated Composite Materials, Wiley-Interscience, New York, 1999.
26. Myers, R. H., and Montgomery, D. C. Response Surface Methodology Process and Product Optimization Using Designed Experiments, 2nd ed., Wiley-Interscience, New York, 2002.
27. Jones, R. M., Morgan, H. S., and Whitney, J. M., "Buckling and Vibration of Antisymmetric Laminated Angle-Ply Rectangular Plates," Journal of Applied Mechanics, Vol. 41, 1973, pp. 1143-1144.