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

By Suresh G Advani; Gabriel O Shonaike

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Fm Page 20 Monday, June 21, 2004 10:51 PM more rounded designs. Manne and Tsai (1998b) developed a thickness scaling technique to meet the strength and stiffness requirements of a design in which layer thicknesses are multiplied by a factor λ to be determined using a suitable failure criterion or a displacement modulus. 17) i i=0 where the coefficients ai are computed for symmetric and unsymmetric laminates. 19) The value of d0 can be decreased or increased by adjusting µ. , λ and µ, can be combined as η = λmax (µ, 1) to design laminates that can meet both the strength and displacement requirements (Manne and Tsai, 1998b).

The minimum thicknesses under multiple loadings are higher than or equal to the thicknesses produced under single-load cases. , 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).

4/–86)s for simply supported and clamped boundary conditions. 7)s. Comparisons of worst and best designs show large differences in the objective function, indicating that failure to optimize the design will result in very low carrying capacity. fm Page 20 Monday, June 21, 2004 10:51 PM more rounded designs. Manne and Tsai (1998b) developed a thickness scaling technique to meet the strength and stiffness requirements of a design in which layer thicknesses are multiplied by a factor λ to be determined using a suitable failure criterion or a displacement modulus.

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