Research Article

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

Table 5

Optimal weights for continuous 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 50.75 1 0 0 %
0.05 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 0 63.97 1 2 6 . 0 5 %
0.05 𝑅 𝑡 = 0 . 0 , 𝑅 𝑚 = 0 . 1 64.11 1 2 6 . 3 2 %
0.05 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 1 81.17 1 5 9 . 9 4 %
0.5 None 60.58 1 0 0 %
0.5 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 0 74.54 1 2 3 . 0 4 %
0.5 𝑅 𝑡 = 0 . 0 , 𝑅 𝑚 = 0 . 1 70.73 1 1 6 . 7 5 %
0.5 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 1 90.22 1 4 8 . 9 2 %
1.0 None 77.43 1 0 0 %
1.0 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 0 89.26 1 1 5 . 2 7 %
1.0 𝑅 𝑡 = 0 . 0 , 𝑅 𝑚 = 0 . 1 87.93 1 1 3 . 5 6 %
1.0 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 1 113.14 1 4 6 . 1 1 %
1.5 None 96.56 1 0 0 %
1.5 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 0 106.60 1 1 0 . 4 0 %
1.5 𝑅 𝑡 = 0 . 0 , 𝑅 𝑚 = 0 . 1 105.31 1 0 9 . 0 6 %
1.5 𝑅 𝑡 = 0 . 1 , 𝑅 𝑚 = 0 . 1 120.17 1 2 4 . 4 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 .