Issue 29

G. Maurelli et alii, Frattura ed Integrità Strutturale, 29 (2014) 351-363; DOI: 10.3221/IGF-ESIS.29.31

1.6

−20

1.4

−40

−60

1.2

−80

1 (s)

1

−100

0.8

−120

0.6

−140

Optimal Mass Density

Objective Function F

0.4

−160

0.2

−180

0

−200

0

1

2

3

4

5

6

7

8

0

200

400

600

800

1000 1200 1400 1600 1800

Beam axis

Number of Iterations

Figure 3 : Objective function 1: path to convergence and optimal density.

1.4

0

1.2

−500

1

2 (s)

−1000

0.8

0.6

−1500

0.4 Optimal Mass Density

Objective Function F

−2000

0.2

0

−2500

0

1

2

3

4

5

6

7

8

0

500

1000

1500

2000

2500

Beam axis

Number of Iterations

Figure 4 : Objective function 2: path to convergence and optimal density.

1

0

0.9

−1000

0.8

−2000

0.7

3 (s)

0.6

−3000

0.5

−4000

0.4

0.3

Optimal Mass Density

−5000

Objective Function F

0.2

−6000

0.1

0

−7000

0

1

2

3

4

5

6

7

8

0

500

1000

1500

2000

2500

Beam axis

Number of Iterations

Figure 5 : Objective function 3: path to convergence and optimal density.

358