PSI - Issue 78

Alfonso Ferdinando Coniglio et al. / Procedia Structural Integrity 78 (2026) 1389–1395

1394

Table 1. Sets of values related to scenarios of the different Optimization Problems considered. Case Study 1 Case Study 2

Case study 3

Case Study 4

L B [m] B B [m]

[25,30,35] [10,15,20]

[15,20,25] [10,15,20]

[15,20,25] [10,15,20]

[15,20,25] [10,15,20]

n s [-]

[3,5,7,9]

[3,5,7,9]

[3,5,7,9]

[3,5,7,9]

P Story [kN/m P Roof [kN/m b 1 , b 2 , h 1 [m]

2 ]

4 6

4 6

4 6

4 6

2 ]

2.5, 2.5, 3.2

2.5, 2.5, 3.2

2.5, 2.5, 3.2

2.5, 2.5, 4.5

n b [-]

5

5

3

5

3.1. Results and comparisons The results are carried out considering that may change as a function of the maximum displacement that the structure can reach without suffering determinate damage, as a function of the limitation of foundation cost desired. Different value of , for =0.01 , are assumed to investigate which are the advantages of applying the optimization process. As shown in Figure 5, for each , is significantly higher for the modules sub-parts in which the optimization process is applied. As increase, the maximum for all case studies increases, but the ratio between the of optimized component and of non-optimized component decreases. This last result may be explained considering that for a less restrictive , the number of scenarios in which the non-optimized sub-parts guarantees the condition ≤ is bigger. As for the value of (Figure 6), it does not change significantly by changing the value of , but significant variations are present between the case study considered. Finally, the value of 1 , . . . , always decreases as the story height increases, moreover, there is a difference between their value to each story that is function of case study considered, this difference il larger for = 0.075 and = 0.1 (Figure 7).

Fig. 5. Values of WI for optimized and non-optimized module sub-parts: (a) V LIM = 0.05; (b) V LIM = 0.075; (c) V LIM =0.1

Fig. 6. Values of optimum k for optimized module sub-parts: (a) V LIM = 0.05; (b) V LIM = 0.075; (c) V LIM = 0.1

Fig. 7. Values of optimum a 1 ,…, a n for each case studies (CS): (a) V LIM = 0.05; (b) V LIM = 0.075; (c) V LIM = 0.1