By Suresh G Advani; Gabriel O Shonaike
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Additional info for Advanced polymeric materials : structure property relationships / [...] XA-GB
1997, ASME J. Appl. , 64:90–96. 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.
Such an approach may produce an acceptable analysis solution, but it becomes unacceptable if the objective is to optimize the design under such uncertainty, especially in the presence of compressive forces that tends to magnify the initial imperfections. This is due to the fact that unless the design is based on a worst-case scenario, the final design is likely to violate a maximum deflection constraint under operating conditions. fm Page 41 Monday, June 21, 2004 10:51 PM Elishakoff and Ben-Haim (1990), Ben-Haim (1993), Elishakoff et al.
The optimum ply angles also depend on the level of uncertainty. 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.
Advanced polymeric materials : structure property relationships / [...] XA-GB by Suresh G Advani; Gabriel O Shonaike