Advanced polymeric materials : structure property by Suresh G Advani; Gabriel O Shonaike

By Suresh G Advani; Gabriel O Shonaike

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1995c). Next, the optimal design of laminates under load uncertainty is illustrated using the anti-optimization approach to deal with uncertainty. , 1994c). However, these values are required to be defined in an uncertainty domain. In all cases, a two-stage optimization problem needs to be solved. , anti-optimization. In general, these two problems lead to a nested optimization problem and can be solved iteratively (Lombardi and Haftka, 1998; Venter and Haftka, 2000; Zingales and Elishakoff, 2001).

7 Optimal ply angle vs. the uncertainty parameter for single-load cases, and the insert for multiple-load cases. (Reprinted from S. , 1997, ASME J. Appl. , 64:90–96. 8 Minimum thickness vs. the aspect ratio for single-load cases, and the insert for multiple-load cases. (Reprinted from S. , 1997, ASME J. Appl. , 64:90–96. 5, indicating that neglecting the effect of uncertainty leads to substantial design errors. 7. It is observed that loading case 3 is the critical one for all values of S for a/b = 1.

Presently, one of the trends in the optimization of composites is an integrated approach combining manufacturing concepts and constraints with design optimization (Manne and Tsai, 1998b; Kim et al. 2001). This approach enables the designer to match the processing possibilities to design requirements in an effort to minimize the overall cost. , 2002). This approach enables the designer to take into account various influences of the loading conditions simultaneously. , 2002) due to the need to take a full view of the problems when designing a complex structure.

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