Improved Fractal Branch and Bound Method for Stacking-Sequence Optimizations of Laminates

In the present study, a mechanism of fractal pattern of feasible laminates in lamination parameter coordinates is discussed in detail, and a new improved stacking-sequence optimization method is proposed for complicated structures that include both in-plane and out-of-plane lamination parameters. The new method employs a branch-and-bound method for the optimizations of stacking sequences. For the estimation of the fractal branch of stacking sequences, the new method requires approximation of the objective function of the optimizations with a quadratic polynomial using both in-plane and out-of-plane lamination parameters. The new method is applied to a stacking-sequence optimization problem of a maximization of buckling load of a hat-type stiffener structure. The method gives successfully optimal stacking sequences in an excellently short CPU time.

[1]  Nigel R. Ball,et al.  Genetic algorithm representations for laminate layups , 1993, Artif. Intell. Eng..

[2]  R. Haftka,et al.  Optimization of laminate stacking sequence for buckling load maximization by genetic algorithm , 1993 .

[3]  Raphael T. Haftka,et al.  Lamination parameters for efficient genetic optimization of the stacking sequences of composite panels , 1998 .

[4]  H. S. Morgan,et al.  Buckling and Vibration of Antisymmetrically Laminated Angle-Ply Rectangular Plates , 1973 .

[5]  Raphael T. Haftka,et al.  OPTIMIZATION OF FRP LAMINATED PLATES UNDER UNCERTAINTY BY FUZZY-SET AND GENETIC ALGORITHM , 1997 .

[6]  Jongsoo Lee,et al.  Constrained genetic search via schema adaptation: An immune network solution , 1996 .

[7]  L. T. Watson,et al.  A FORTRAN 90 genetic algorithm module for composite laminate structure design , 1998, Engineering with Computers.

[8]  J. L. Walsh,et al.  Stacking-Sequence Optimization for Buckling of Laminated Plates by Integer Programming , 1991 .

[9]  Raphael T. Haftka,et al.  Genetic Algorithms for Optimization of Composite Laminates , 1999 .

[10]  Erik D. Goodman,et al.  Use of genetic algorithms for optimal design of laminated composite sandwich panels with bending-twisting coupling , 1996 .

[11]  Akira Todoroki,et al.  Permutation genetic algorithm for stacking sequence design of composite laminates , 2000 .

[12]  R. Haftka,et al.  Improved genetic algorithm for minimum thickness composite laminate design , 1995 .

[13]  Koetsu Yamazaki,et al.  Two-level optimization technique of composite laminate panels by genetic algorithms , 1996 .

[14]  Raphael T. Haftka,et al.  Stacking sequence matching by two-stage genetic algorithm with consanguineous initial population , 1997 .

[15]  Nozomu Kogiso,et al.  Design of Composite Laminates by a Genetic Algorithm with Memory , 1994 .

[16]  Nozomu Kogiso,et al.  Genetic algorithms with local improvement for composite laminate design , 1993 .

[17]  Rolf Dornberger,et al.  Optimal structural damping of skis using a genetic algorithm , 1995 .

[18]  Juhyun Park,et al.  Stacking sequence design of composite laminates for maximum strength using genetic algorithms , 2001 .

[19]  George E. Weeks,et al.  Optimum design of composite laminates using genetic algorithms , 1992 .

[20]  Akira Todoroki,et al.  Stacking sequence optimization by a genetic algorithm with a new recessive gene like repair strategy , 1998 .

[21]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[22]  Layne T. Watson,et al.  Improved Genetic Algorithm for the Design of Stiffened Composite Panels , 1994 .

[23]  Raphael T. Haftka,et al.  Design of stiffened composite panels by genetic algorithm and response surface approximations , 1995 .

[24]  Akira Todoroki,et al.  Stacking Sequence Optimizations Using Fractal Branch and Bound Method for Laminated Composites , 2001 .

[25]  M. Miki,et al.  Design of Laminated Fibrous Composite Plates with Required Flexural Stiffness , 1985 .

[26]  Akira Todoroki,et al.  Extended fractal branch and bound method for optimization of multiple stacking sequences of stiffened composite panel , 2006 .