PSI - Issue 78

Salvatore Mottola et al. / Procedia Structural Integrity 78 (2026) 623–630

629

1.5

1.5

X-Direction T 0

Y-Direction T 0 r (S) =0.11 ν y (S) =0.17

EBF3X EBF4Y

α=0.2

(S) =0.43 sec

(S) =0.72 sec

μ (E) =1.0

α=0. 3

α=0.2

r (S) =0.18 ν y

μ (E) =1.0

(S ) =0.39

α=0. 3

α=0. 4

α=0. 4

EBF3Y

1

1

Elastic Responce

α=0. 5

Elastic Responce

α=0. 5

μ (E) =1.5

μ (E) =1.5

R a

R a

α =0.5 μ (E ) =6.96 R d,t =0.77 R a,t =0.36

μ (E) =2.0

α =0.5 μ (E) =7.75 R d,t =0.73 R a,t =0.22

EBF2Y

μ (E) =2.0

0.5

0.5

Inelastic Responce

Inelastic Responce

EBF2X

EBF1Y

0

0

0

0.5

1

1.5

0

0.5

1

1.5

EBF1X

R d

R d

(a)

(b)

(c)

Fig. 8. (a) P-Spectra in X-direction; (b) P-Spectra in Y-direction; (c) Layout of EBFs.

Table 1. Parameters of the trilinear equivalent system of the structure ( S ). Dir. m e * [kN·s 2 /mm]  d p [mm] d p * [mm] V y (S) [kN] V c (S) [kN] d y (S) [mm] d c (S) [mm] K 0 (S) [kN/mm] T e (S) [s] r (S)  (S)  v (S) [%] X 1.138 1.417 50.0 35.3 6106 2035 79.1 8.55 238.1 0.434 0.18 1.75 5.00 Y 1.476 1.183 103.0 87.1 2474 824 84.9 7.25 113.8 0.715 0.11 2.00 5.00

Table 2. Parameters of the bilinear equivalent system of the exoskeleton ( E ). Dir. d p [mm] d p * [mm] V y (E) [kN] d y (E) [mm] K 0 (E) [kN/mm]  (E) X 50.00 35.3 1476 6.20 238.1 8.1 Y 103.0 87.1 3107 11.70 265.6 8.8

Table 3. Distribution of strength and stiffness of dissipative exoskeletons over the height.\\

X-Direction Eigenvector [  ]

Y-Direction Eigenvector [  ]

Mass [kN·s 2 /mm]

F i [kN]

V y,i [kN]

K i [kN/mm]

F i [kN]

V y,i [kN]

K i [kN/mm]

Floor

1 2 3

0.622 0.582 0.480

0.331 0.665

283 1476 719.5 532 1193 575.1 660 660 318.3

0.331 0.665

586 3107 802.8 1121 2512 641.6 1390 1390 355.2

1.00

1.00

Table 4. Properties of SSDs in X-Direction (strength ( Q p ), stiffness ( K y ), length ( b p ), height ( h p ), thickness ( t ), strips ( n s ). Long side ( n EB =2 hort side ( n EB =1 N. b p [mm] h p [mm] t [mm] b p1 [mm] h p1 [mm] Q p [kN] K y [kN/mm] n s Q p [kN] K y [kN/mm] n s 125 5 2 62.5 25. 44 . 266.1 18 586.7 354.8 24 225 5 2 62.5 25. 342.2 2 7. 14 464.4 28 .9 19 325 5 2 62.525. 195.6118.3 8 244.4 147.8 1

Table 5. Properties of SSDs in Y-Direction ( n EB =4). N. b p [mm] h p [mm] t [mm] b p1 [mm] h p1 [mm] n s

Q p [kN]

K y [kN/mm]

1 515 120 20 2 515 120 20 3 515 120 20

128.7 60.0 12 820.2 272.3 128.7 60.0 9 615.1 204.2 128.7 60.0 5 341.7 113.5