Research Article

Robust Optimal Design of Fiber-Reinforced Composite Cylinder with Metallic Liner

Table 6

Optimal weights for discrete design variable case when plastic design of SAE4130 liner is utilized.

𝑡 𝑠  (mm)Uncertainty conditionOptimal weight  (Kg)Optimal weight with uncertainty/optimal weight without uncertainty (%)

0 . 0 5 None 55.45 1 0 0 %
0.05 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 0 72.69 1 3 1 . 0 9 %
0.05 𝑅 𝑡 = 0 . 0 , 𝑅 𝑚 = 0 . 1 68.22 1 2 3 . 0 3 %
0.05 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 1 86.61 1 5 6 . 1 9 %
0.5 None 61.97 1 0 0 %
0.5 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 0 78.17 1 2 6 . 1 4 %
0.5 𝑅 𝑡 = 0 . 0 , 𝑅 𝑚 = 0 . 1 72.12 1 1 6 . 3 7 %
0.5 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 1 92.24 1 4 8 . 8 4 %
1.0 None 78.52 1 0 0 %
1.0 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 0 90.78 1 1 5 . 6 1 %
1.0 𝑅 𝑡 = 0 . 0 , 𝑅 𝑚 = 0 . 1 88.71 1 1 2 . 9 7 %
1.0 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 1 114.86 1 4 6 . 2 8 %
1.5 None 97.18 1 0 0 %
1.5 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 0 107.37 1 1 0 . 4 8 %
1.5 𝑅 𝑡 = 0 . 0 , 𝑅 𝑚 = 0 . 1 107.26 1 1 0 . 3 7 %
1.5 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 1 121.43 1 2 4 . 9 5 %

𝑅 𝑡 : ratio of ply thickness uncertainty to ply thickness.
𝑅 𝑚 : ratio of material property uncertainty to nominal material property.
Ply orientation uncertainty equals to 50 𝑅 𝑡 .