Structural damage detection using incomplete modal data and incomplete static response

This paper presents novel approaches to structural damage detection and estimation using incomplete modal data and incomplete static response of a damaged structure. The proposed methods use modal data or static displacement to formulate objective functions. Damage location and severity in structural elements are determined using optimization of the objective functions by the simulated annealing algorithm. The presented methods are applied to a simply supported beam and a three-story plane frame with and without noise in modal data and containing several damages. Moreover, the performance of the proposed methods has been verified through using experimental modal data of a mass-stiffness system. The results indicate that the proposed methods perform quite well using different objective functions in spite of the incomplete data.