An environmental excitation having random characteristics may be more effective and
cost-efficient than other excitation means for non-destructive damage identification purpose on
most of the large-scale engineering structures under operation. In general, many existing damage
indexes are constructed based on the modal properties derived firstly from the power spectral
density (PSD) analysis of the structures under random excitation. However, the derivation
procedures for the modal parameters usually introduce some extra errors into the indexes. This
paper aims to propose a simple and feasible damage location index (DLI) constructed directly
derived from the analysis results of the structural response PSD. The performance of DLI was
verified using an aluminum beam with fixed ends and an experimental reinforced concrete (RC)
beam under free boundary condition. Our results show that the damage location of the aluminum
beam can be determined via the plot of DLI value by selecting the peaks with the amplitudes
exceeding a predefined threshold value in both single- and multi-damaged scenarios. And the index
may also predict the possible damage zones in the RC beam experimentally tested.