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Warping thermal deformation constraint for optimization of a blade stiffened composite panel using GA

  • Todoroki, Akira (Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology) ;
  • Ozawa, Takumi (Graduate student of Tokyo Institute of Technology, Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology)
  • Received : 2013.09.11
  • Accepted : 2013.11.12
  • Published : 2013.12.30

Abstract

This paper deals with the optimization of blade stiffened composite panels. The main objective of the research is to make response surfaces for the constraints. The response surface for warping thermal deformation was previously made for a fixed dimension composite structure. In this study, the dimensions of the blade stiffener were treated as design variables. This meant that a new response surface technique was required for the constraints. For the response surfaces, the lamination parameters, linear thermal expansions and dimensions of the structures were used as variables. A genetic algorithm was adopted as an optimizer, and an optimal result, which satisfied two constraints, was obtained. As a result, a new response surface was obtained, for predicting warping thermal deformation.

Keywords

References

  1. Miki, M., "Design of Laminated Fibrous Composite Plates with Required Flexural Stiffness", ASTM STP, Vol.846, 1985, pp.387-400.
  2. Fukunaga H. and Vanderplaats G., "Stiffness Design Method of Symmetric Laminates Using Lamination Parameters", AIAA Journal, Vol.30, Issue 11, 1992, pp.2791-2795. https://doi.org/10.2514/3.11304
  3. Le Riche, R. and Haftka, R. T., "Optimization of Laminate Stacking Sequence for Buckling Load Maximization by Genetic Algorithm", AIAA Journal, Vol.31, Issue 5, 1993, pp. 951-956. https://doi.org/10.2514/3.11710
  4. Todoroki, A., Haftka, R. T., "Stacking sequence optimization by a genetic algorithm with a new recessive gene like repair strategy", Composites Part B, Vol.29, Issue 3, 1998, pp.277-285. https://doi.org/10.1016/S1359-8368(97)00030-9
  5. Todoroki, A., and Ishikawa, T., "Design of Experiments for Stacking Sequence Optimizations with Genetic Algorithm using Response Surface Approximation", Composite Structures, Vol.64, Issue 3-4, 2000, pp.349-357.
  6. Liu, B., Haftka, R. T., Akgun M., and Todoroki A., "Permutation Genetic Algorithm For Stacking Sequence Design Of Composite Laminates", Computer Methods in Applied Mechanics and Engineering, , Vol. 186, Issues 2-4, 2000, pp.357-372. https://doi.org/10.1016/S0045-7825(99)90391-2
  7. 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, No. 2, 2001, pp.217-231. https://doi.org/10.1016/S0263-8223(00)00170-7
  8. Todoroki, A., and Sasai, M., "Optimizations of stacking sequence and number of piles for laminated cylinders using GA with intron genes", Advanced Composite Materials, Vol.12, Issue 4, 2003, pp.331-344. https://doi.org/10.1163/156855103322986592
  9. Cho M. H. and Rhee S. Y., "Layup Optimization Considering Free-Edge Strength and Bounded Uncertainty of Material Properties", AIAA Journal, Vol.41, Issue 11, 2003, pp.2274-2282. https://doi.org/10.2514/2.6821
  10. Lin, C., Lee, Y., "Stacking sequence optimization of laminated composite structures using genetic algorithm with local improvement", Composite Structures, Vol.63, Issue 3-4, 2004, pp.339-345. https://doi.org/10.1016/S0263-8223(03)00182-X
  11. Kang, J. H. and Kim, C. G., "Minimum-weight design of compressively loaded composite plates and stiffened panels for postbuckling strength by Genetic Algorithm", Composite Structures, Vol. 69, Issue 2, 2005, pp.239-246. https://doi.org/10.1016/j.compstruct.2004.07.001
  12. Abouhamze, M. and Shakeri, M., "Multi-objective stacking sequence optimization of laminated cylindrical panels using a genetic algorithm and neural networks", Composite Structures, Vol.81, Issue 2, 2007, pp.253-263. https://doi.org/10.1016/j.compstruct.2006.08.015
  13. Almeida, F. S. and Awruch, A. M., "Design optimization of composite laminated structures using genetic algorithms and finite element analysis", Composite structures, Vol.88, Issue 3, 2009, pp.443-454. https://doi.org/10.1016/j.compstruct.2008.05.004
  14. Marin L., Trias, D., Badallo, P., Rus G., Mayugo, J. A., "Optimization of composite stiffened panels under mechanical and hygrothermal loads using neural networks and genetic algorithms", Composite structures, Vol.94, Issue 11, 2012, pp.3321-3326. https://doi.org/10.1016/j.compstruct.2012.04.024
  15. Lee D. S., Morillo C., Bugeda G., Oller S., Onate E., "Multilayered composite structure design optimization using distributed/parallel multi-objective evolutionary algorithms", Composite structures, Vol.94, Issue 3, 2012, pp.1087-1096. https://doi.org/10.1016/j.compstruct.2011.10.009
  16. Narita, Y., "Layerwise optimization for the maximum fundamental frequency of laminated composite plates", Journal of Sound and Vibration, Vol.263, Issue 5, 2003, pp.1005-1016. https://doi.org/10.1016/S0022-460X(03)00270-0
  17. Terada Y. and Todoroki A. and Shimamura Y., "Stacking Sequence Optimizations Using Fractal Branch and Bound Method for Laminated Composites", JSME International Journal., Series A, Vol.44, Issue 4, 2001, pp.490-498. https://doi.org/10.1299/jsmea.44.490
  18. Todoroki A. and Terada Y., "Improved Fractal Branch and Bound Method for Stacking Sequence Optimizations of Laminated Composite Stiffener", AIAA Journal, Vol.42, Issue 1, 2004, pp.141-148. https://doi.org/10.2514/1.9038
  19. Hirano Y. and Todoroki A., "Stacking sequence optimizations for composite laminates using fractal branch and bound method (Application for Supersonic Panel Flutter Problem with Buckling Load Condition)", Advanced Composite Materials, Vol.13 Issue 2, 2004, pp.89-107. https://doi.org/10.1163/1568551041718044
  20. Todoroki A. and Sekishiro M., "Modified Efficient Global Optimization for a Hat-stiffened Composite Panel with Buckling Constraint", AIAA Journal, Vol.46, Issue 9, 2008, pp.2257-2264. https://doi.org/10.2514/1.34548
  21. Todoroki A., Shinoda, T., Mizutani Y. and Matsuzaki R., "New surrogate model to predict fracture of laminated CFRP for structural optimization", Journal of Computational Science and Technology, JSME, Vol.5, Issue 1, 2011,pp.26-37. https://doi.org/10.1299/jcst.5.26
  22. Todoroki A., Ozawa T., Mizutani Y., Suzuki Y., "Thermal deformation constraint using response surfaces for optimization of stacking sequences of composite laminates", Advanced Composite Materials, Vol.22, Issue 4, 2013, pp.265-279. https://doi.org/10.1080/09243046.2013.805502
  23. Todoroki A., Sasai M., "Stacking Sequence Optimizations Using GA with Zoomed Response Surface on Lamination Parameters", Advanced Composite Materials, Vol.11, Issue 3, 2002, pp.299-318 . https://doi.org/10.1163/156855102762506335