Issue 44

G. G. Bordonaro et alii, Frattura ed Integrità Strutturale, 44 (2018) 1-15; DOI: 10.3221/IGF-ESIS.44.01

3D FE models are developed and simulations are performed according to the experimental matrix in Table 2. The loadings plot of the Principal Component Analysis (PCA) performed on the responses shows two pairs of correlated responses. Each pair consists of one response to be maximized and the other to be minimized as shown in Figure 9. This means that, for each pair, the improvement of one of the responses will produce a worsening of the other response. Therefore, finding the best compromise is necessary.

X 1

X 2

X 3

X 4

Y 1

Y 2 65

Y 3 50

Y 4 8.0

-1 -1 -1 -1 -1 -1 -1 -1 -1

10.95 11.06 11.11 11.09 21.37 31.70 31.89 31.90 31.89 13.05 12.89 24.61 35.31 15.27 14.74 15.54 27.69 28.79 40.54 38.75 39.38 39.34

1 0

-1

-1 -1 -1 -1

150 240

115 195

22.9 40.0 13.0 81.5 45.0

0 1 1

-1

90

67

1

210

160

-1

-1 -1

0 1 1 1 1

69

50

1

235 250

175 190

186.0 196.0

-1 -1

0 1 1

85

69

70.0 78.0 32.0

1

0 0 0 0 1 1 1 1 1 1 1 1 1

236 100 170 137 135 220

210

-1

-1

-1 -1

90

1 0 0 0

0 1

160 125 156 260 116

145.0 195.0

0 1

-1 -1

87.6

-1 -1 -1

172.0

-1

1 1

98 70

72.5

1 1

84

112.0 417.0 538.0 170.0 175.0 246.0

-1

0 0 1 1 1 1

220 200

279 239

-1 -1

0

-1 -1

75 70 92

82 80

1

-1

1 1

105

1

Table 2 : D-Optimal Design experimental matrix and responses Y.

Figure 9 : Loading plot of the Principal Component Analysis (PCA).

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