Modal parameter-based damage detection and quantification approaches have been of continued interest in structural health monitoring of civil engineering structures.The methods that utilize flexibility matrix to identify the damage are preferred over the stiffness matrix-based approach simply because the flexibility matrix can be more easily calculated with just a few modes than the stiffness matrix.The flexibility based approach,however,can be further improved if the curvature flexibilities are utilized instead of the displacement flexibilities.The paper describes an approach to define the curvature flexibilities and shows how they can be used for damage localization and quantification.Since curvature flexibilities are associated with rotational degrees of freedom which are usually condensed out from a dynamic analysis model and are not measured,an iterative approach is necessary to recover this information.Numerical examples of beams and also a moment resistant frame where it becomes necessary to use the iterative approach are used to demonstrate the approach.
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