PSI - Issue 64

Sayandip Ganguly et al. / Procedia Structural Integrity 64 (2024) 757–765 Ganguly and Roy/ Structural Integrity Procedia 00 (2023) 000 – 000 5 For 3rd and 5th story damages, even at 10% allowable deviation, ( ) is found to be nearly zero for Case-I. This percentage swiftly changes to 100%. When damage is modeled at 7th story, this instantaneous change occurs at 6% absolute deviation range for all damage severities. It indicates that for a multi-story shear building, quantification of any damage severity with the expression of Roy (2022) is more reliable within a narrow deviation, if damage is localized at higher story. In Case-II, estimated damage severity as low as 10% and beyond 30% shows sufficiently low reliability below 10% deviation. In this case, the convergence of reliability from 0% to 100% confined within 10% deviation from actual damage values, are scattered with respect to damage severity and its location. 761

Fig. 4. ( ) at 10% COV of material uncertainty estimated for (a) 3rd story, (b) 5th story, and (c) 7th story damage in Case-I and for (d) 3rd story, (e) 5th story, and (f) 7th story damage in Case-II at different damage severities.

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Fig. 5. PDF of estimated damage quantity in presence of material uncertainty for damage at (a) 3rd, (b) 5th, and (c) 7th stories in Case-I, for damage at (d) 3rd, (e) 5th, and (f) 7th stories in Case-II. Results for 5% and 10% COVs are also shown in Figs. 3 and 4. The change in the reliability is found to be similar as 1% COV for Case-I. An identical behavior at all severities for damage quantified by Roy (2022) enhances its applicability in assessing a wide range of damage with equal confidence level. At damage levels beyond 30%, estimated quantity in Case-II, leads to major amount of deviation from actual damage value. For lower story damage, it yields better reliability for 15% to 30% severity at deviation lower than 10% and in case of higher story damage it is 20% to 30%. The propagation of material uncertainty across three distinct COVs demonstrates that the minimum and maximum absolute deviation of estimated values from actual damage, lies at 6% and 13% respectively with 100%