Optimum Panel Design Using the DRS of the PSF in Table 8-9, reliability-based design optimization is performed. The optimum design is shown in Table 8-10. Its reliability evaluated by MCS using ARS, whose error statistics are shown in Table 8-5, with 106 Samples is shown in Table 8-11. It is seen that the reliability-based design is slightly lighter and safer than the deterministic design. The probability of failure of reliability-based design is slightly higher than the target reliability, which is due to the errors in the ARS approximation. The design can be refined by another design iteration that use a smaller design domain centered around it. Table 8-10. Optimum panel design b h tl t2 Weight (lb) 10.70 1.9854 0.1004 0.1246 2581 Table 8-1 1. Probabilities of failure calculated by Monte Carlo simulation of 1x106 samples Probability of failure of Probability of failure of System probability of load case 1 load case 2 failure 0 123x10-6 123x10-6 Composite Isogrid Panel Design Example Next we consider a composite isogrid panel. The panel and the zero degree direction for the composite angle ply laminates in isogrid and skin are shown in Figure 2. It is shown in chapter four that angle ply laminates with plies oriented close to each other is a good design for cryogenic environments due to reduced residual strains. Two additional design variables are the ply angles of angle ply laminates in the isogrid and skins, Bi and 62, TOSpectively. Reliability-based optimization seeks the lightest structures