PSI - Issue 10

N.G. Pnevmatikos et al. / Procedia Structural Integrity 10 (2018) 195–202 N.G. Pnevmatikos et al. / Structural Integrity Procedia 00 (2018) 000 – 000

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p logN og mlog l     

(1)

DI= Σ(n i /N i ), T=1/DI

(2)

where Δφ p is the fatigue deformability (plastic rotation), N is the number of rotation range cycles, m is the slope constant of the fatigue curve, a is a constant, DI is the damage index and T is the fatigue life.

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Damage index Damage index

Fatigue life (years)

Fatigue life (years)

No of earthquakes (aftershocks) / year No of earthquakes (aftershocks) / year Number of earthquakes (aftershocks) / year (b) Fig. 6. Fatigue life vs numbers of earthquakes per year, (a), and damage index vs numbers of earthquakes per year, (b). No of earthquakes (aftershocks) / year No of earthquakes (aftershocks) / year Number of earthquakes (aftershocks) / year (a)

Plastic rota tion vs. time diagram

Plastic rotation (rad)

Time (sec)

Fig. 7. Plastic rotation vs time diagram for nonlinear dynamic analysis of frame subjected to twice of Aigio ground motion.

Table 4. Plastic rotation spectrum obtained by reservoir method Peaks and valleys Δφ Δφ (rad) Number of cycles (n i ') Τ1 (P1-T1) 0,03981 1 Τ2 (P3-T2) 0,01329 1 Τ3 (P5-T3) 0,009537 1 Τ4 (P9-T4) 0,00701 1 Τ5 (P1-T5) 0,02966 1 Τ6 (P7-T6) 0,00665 1 Τ7 (P8-T7) 0,00614 1 Τ8 (P6-T8) 0,006823 1 Τ9 (P10-T9) 0,00509 1 Τ10 (P2-T10) 0,0051 1