Park-Ang Damage Model Uncertainty Quantification Using Evidence Theory

Abstract eng:
The Park-Ang damage model has been widely used due to the consideration of first exceedance failure and cumulative damage failure in terms of defining the structural damage under earthquake. However, performance evaluation and design of civil facilities against earthquakes using the Park-Ang model is a challenge to engineers because of the large uncertainty in this damage model. Some of these uncertainties stem from factors that are inherently random (or aleatory) in engineering or scientific analysis (e.g, material properties such as, Young’s modulus of steel; compression strength of concrete). Others arise from a lack of knowledge, ignorance, or modeling (or epistemic) (e.g, simplification of mathematical model of buildings for structural analysis purposes). Uncertainties in damage models and their influence on structural behavior are important considerations in performance evaluation and design of structures against earthquakes. In this article, a methodology based on the evidence theory is presented for uncertainty quantification of Park-Ang damage models. The proposed methodology is applied to Park-Ang models while considering various sources of uncertainty emanating from experimental force-displacement data of reinforced concrete column. The Park-Ang damage model uncertainties are propagated through evaluation the damage level of the RC columns. A global optimization technique is used for efficient calculation of the propagated belief structure of the structural response and aggregation rule is used for multi-models consideration. Finally, damage evaluation example of a column is investigated to demonstrate the effectiveness of the proposed method.

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