Description
The application of any existing damage quantification techniques requires validation through several real case studies to ensure a higher level of reliability. Absence of such extensive studies presents a limitation to successful implementation of these methods in practical scenarios. A reliability study is hence performed in this work considering material and measurement uncertainties to bridge this gap. The novelty of this study lies in determining a confidence bound of modal parameter-based closed-form expressions of damage quantity in a shear building. To achieve this, at first, a 10-story shear building is numerically analyzed for three locations of damage considering a wide range of severity. Gaussian distribution is assumed to account for stiffness variation of each story at healthy and damaged states of the structure. For each sample of stiffness, damage quantity is evaluated with prevailing closed-form methods. Similarly, in presence of measurement uncertainty, computed modal displacements are varied assuming similar distribution parameters as material uncertainty. Subsequently, these modal values are employed in the formulations of damage quantification. The effect of material and measurement uncertainty propagation on the reliability of estimated damage value is then examined and correlated with the numerical observations. Experimental investigation and validation with real dataset may be considered as the future scope of this study.