LAUSR

ABSTRACT Structural damage detection is a key part of structural health monitoring. The generalized flexibility matrix approach is an effective method for damage detection. Compared with the flexibility matrix approach, it requires less number of natural frequencies and corresponding mode shapes. In this paper, the approach is improved by considering the nonnegativity of the damage extent. The error bound of two solutions calculated by the improved approach using natural frequencies and corresponding mode shapes without and with noises is derived. Numerical examples with different damage scenarios show that compared with the original generalized flexibility matrix approach, our proposed method works better.