This work is an in-depth study of a boundary effect detection (BED) method
for pinpointing locations of small damages in beams using operational defle
ction shapes (ODSs) measured by a scanning laser vibrometer. The BED method
requires no model or historical data for locating structural damage. It wo
rks by decomposing a measured ODS into central and boundary-layer solutions
using a sliding-window least-squares curve-fitting technique. For high-ord
er ODSs of an intact beam, boundary-layer solutions are non-zero only at st
ructural boundaries. For a damaged beam, its boundary-layer solutions are n
on-zero at the original boundaries and damage locations because damage intr
oduces new boundaries. At a damage location, the boundary-layer solution of
slope changes sign, and the boundary-layer solution of displacement peaks
up or dimples down. The theoretical background is shown in detail. Noise an
d different types of damage are simulated to show how they affect damage lo
cating curves. Experiments are performed on several different beams with di
fferent types of damage, including surface slots, edge slots, surface holes
, internal holes, and fatigue cracks. Experimental results show that this d
amage detection method is sensitive and reliable for locating small damages
in beams. (C) 2001 Elsevier Science Ltd. All rights reserved.