Browse > Article
http://dx.doi.org/10.1163/1568551041718044

Stacking sequence optimizations for composite laminates using fractal branch and bound method: Application for supersonic panel flutter problem with buckling load condition  

Hirano, Yoshiyasu (Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology)
Todoroki, Akira (Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology)
Publication Information
Advanced Composite Materials / v.13, no.2, 2004 , pp. 89-106 More about this Journal
Abstract
The fractal branch and bound method was developed by the authors for ptimization of stacking sequences to maximize buckling load of composite structures. The method demands an approximation of a design space with a response surface comprising quadratic polynomials for pruning fractal branches of stacking sequences. Approximation of the objective function with quadratic polynomials was confirmed for buckling load maximizations and flutter speed limit maximizations using lamination parameters as predictors. In the present study, flutter speed maximization with a constraint of buckling load is employed as an example of stacking sequence optimization by means of the fractal branch and bound method with a strength constraint. The present paper describes the theoretical background of the fractal branch and bound method. Then approximations are performed using quadratic polynomials with lamination parameters as predictors. After that, effectiveness of this method for supersonic panel flutter of composite laminates was investigated using two cases. Results indicate that the method was applied successfully; a practical optimal stacking sequence was obtained using modified response surfaces.
Keywords
Composites; optimization; stacking sequence; flutter; supersonic; response surface;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 6  (Related Records In Web of Science)
연도 인용수 순위
1 A. Todoroki and R. T. Haftka, Lamination parameters for efficient genetic optimization of the stacking sequences of composite panels, AIAA Paper 98-4817, in: Proc. 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, MO, pp. 870–879 (1998).
2 A. Todoroki and T. Ishikawa, Design of experiments for response surfaces of stacking sequence optimizations using genetic algorithm, Trans. JSME, Series A 66-645, 978–985 (2000) (in Japanese).
3 A. Todoroki and M. Sasai, Stacking sequence optimizations using GA with zoomed response surface on lamination parameters, Adv. Composite Mater. 11 (3), 299–318 (2003).
4 M. Satou, H. Fukunaga and H. Sekine, Panel flutter design of symmetrically laminated plates using lamination parameters, JSME Intern. J., Series C 64-619, 1013–1020 (1998) (in Japanese).
5 H. Katori and T. Nishimura, Vibration and dynamic stability of anisotropic plates (free vibration and panel flutter), JSME Intern. J., Series C 58-546, 330–334 (1992) (in Japanese).
6 Y. Terada, A. Todoroki and Y. Shimamura, Stacking sequence optimizations using fractal branch and bound method for laminated composites, JSME Intern. J., Series A 44 (4), 490–498 (2001).
7 A. Todoroki and R. T. Haftka, Stacking sequence matching by using genetic algorithm with repair, Composites B 29B (8), 277–285 (1998).
8 M. Miki, Design of laminated fibrous composite plates with required flexural stiffness, ASTM, STP 864, 387–400 (1985).
9 A. Todoroki and Y. Hirano, Stacking sequence optimizations of composites to improve panel flutter at supersonic Mach numbers using fractal branch and bound method, Trans. JSME, Series A 69-678, 239–244 (2003) (in Japanese).
10 M. Kameyama, T. Ozeki, H. Fukunaga and H. Sekine, Aeroelastic optimization of composite plate wings using lamination parameters, in: Proc. 14th Computational Mechanics Conference, JSME, 1-10, Sapporo, Hokkaido, Japan, pp. 511–512 (2001) (in Japanese).
11 Z. Gürdal, R. T. Haftka and P. Hajela, Design and Optimization of Laminated Composite Materials. John Wiley, New York (1999).
12 A. Todoroki and M. Sasai, Improvement of design reliability for buckling load maximization of composite cylinder using genetic algorithm with recessive-gene-like repair, JSME Intern. J., Series A 42 (4), 530–536 (1999).
13 A. Todoroki and R. T. Haftka, Stacking sequence matching by two-stage genetic algorithm with consanguineous initial population, AIAA Paper 97-1228, in: Proc. 38th AIAA/ASME/ASCE/AHS/ASC Structures and Structural Dynamics, and Materials Conference and Exhibit and AIAA/ASME/AHS Adaptive Structures Forum, Kissimmee, FL, pp. 1297–1302 (1997).
14 M. P. Nemeth, Importance of anisotropy on buckling of compression-loaded symmetric composite plate, AIAA J. 24-11, 1831–1835 (1986).
15 H. Fukunaga and T. W. Chou, Simplified design techniques for laminated cylindrical pressure vessels under stiffness and strength constraints, J. Compos. Mater. 22, 1156–1169 (1998).