The capability of identifying both location and severity of damages of
faulted elements in a structural system is greatly needed under the p
resent demands of constantly maintaining the safety of civil engineeri
ng structures. Presented in this paper is a methodology based on vibra
tion theory that can be used for the detection of faults in a beam of
either uniform or nonuniform cross section and under a variety of boun
dary conditions, including simple support, cantilever support, and bea
m on elastic foundation. Theoretical developments of the methodology a
re presented first, followed by numerical experiments to demonstrate t
he feasibility of the method. Numerical experiments include various da
mage scenarios such as those faults occurring in a beam section as wel
l as in a subgrade foundation. Furthermore, damage scenarios involving
both single fault and multiple faults are also presented. The defect
of the supporting subgrade foundation can be modeled either as degradi
ng subgrade stiffness or increasing damping values. Numerical experime
nts demonstrate the feasibility of the developed NDT methodology which
warrants the next stage of field study.