### Abstract

We present a design procedure for symmetrically laminated composite structure with GA (Genetic Algorithm) and finite element analysis. Design variables to enhance the rigidity of the laminated composite structure are the number of laminae, the fiber orientation and the stacking sequence. Here, the fiber orientation is selected among some prepared angles from a manufacturing viewpoint. In a conventional design procedure based on GA, an objective function is calculated by costly finite element analysis. Consequently, it is quite time consuming and unpractical. In this paper, to minimize the displacement at a point in the structure, we define an approximated rigidity function of the laminated composites by means of weighing coefficients and transformed elastic moduli in the prepared angles. The weighing coefficients are initially determined using the distribution of principal stress in the structure under an applied load. Then, we can guess that reinforcements should be oriented according to the weighing coefficients with which the rigidity function takes maximum. To find the global optimum solution, the weighing coefficients are adjusted with as small a number of finite element analyses as possible. As a conclusion, the proposed procedure can reduce the computational cost remarkably compared to the conventional one, and can be applied practically to arbitrary shaped structures.

Original language | English |
---|---|

Pages (from-to) | 131-140 |

Number of pages | 10 |

Journal | Science and Engineering of Composite Materials |

Volume | 6 |

Issue number | 2 |

Publication status | Published - 1997 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Ceramics and Composites

### Cite this

*Science and Engineering of Composite Materials*,

*6*(2), 131-140.

**Cost effective design procedure for laminated composite structure based on GA.** / Zako, M.; Takano, Naoki; Takeda, N.; Tsujikami, T.

Research output: Contribution to journal › Article

*Science and Engineering of Composite Materials*, vol. 6, no. 2, pp. 131-140.

}

TY - JOUR

T1 - Cost effective design procedure for laminated composite structure based on GA

AU - Zako, M.

AU - Takano, Naoki

AU - Takeda, N.

AU - Tsujikami, T.

PY - 1997

Y1 - 1997

N2 - We present a design procedure for symmetrically laminated composite structure with GA (Genetic Algorithm) and finite element analysis. Design variables to enhance the rigidity of the laminated composite structure are the number of laminae, the fiber orientation and the stacking sequence. Here, the fiber orientation is selected among some prepared angles from a manufacturing viewpoint. In a conventional design procedure based on GA, an objective function is calculated by costly finite element analysis. Consequently, it is quite time consuming and unpractical. In this paper, to minimize the displacement at a point in the structure, we define an approximated rigidity function of the laminated composites by means of weighing coefficients and transformed elastic moduli in the prepared angles. The weighing coefficients are initially determined using the distribution of principal stress in the structure under an applied load. Then, we can guess that reinforcements should be oriented according to the weighing coefficients with which the rigidity function takes maximum. To find the global optimum solution, the weighing coefficients are adjusted with as small a number of finite element analyses as possible. As a conclusion, the proposed procedure can reduce the computational cost remarkably compared to the conventional one, and can be applied practically to arbitrary shaped structures.

AB - We present a design procedure for symmetrically laminated composite structure with GA (Genetic Algorithm) and finite element analysis. Design variables to enhance the rigidity of the laminated composite structure are the number of laminae, the fiber orientation and the stacking sequence. Here, the fiber orientation is selected among some prepared angles from a manufacturing viewpoint. In a conventional design procedure based on GA, an objective function is calculated by costly finite element analysis. Consequently, it is quite time consuming and unpractical. In this paper, to minimize the displacement at a point in the structure, we define an approximated rigidity function of the laminated composites by means of weighing coefficients and transformed elastic moduli in the prepared angles. The weighing coefficients are initially determined using the distribution of principal stress in the structure under an applied load. Then, we can guess that reinforcements should be oriented according to the weighing coefficients with which the rigidity function takes maximum. To find the global optimum solution, the weighing coefficients are adjusted with as small a number of finite element analyses as possible. As a conclusion, the proposed procedure can reduce the computational cost remarkably compared to the conventional one, and can be applied practically to arbitrary shaped structures.

UR - http://www.scopus.com/inward/record.url?scp=0013407594&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013407594&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0013407594

VL - 6

SP - 131

EP - 140

JO - Science and Engineering of Composite Materials

JF - Science and Engineering of Composite Materials

SN - 0334-181X

IS - 2

ER -