Damage detection in vibrating beams, or beam systems, is dealt with in this
paper. Damage is represented by a more or less concentrated decrease in st
iffness. A linear behavior is assumed before and after the damage. A peculi
ar aspect of damage detection, at times neglected, is that damage is freque
ntly concentrated in a few zones, albeit unknown, so that only the modifica
tion in the characteristics of a few sections or elements needs to be deter
mined. Attention is focused on the basic aspects of the problem, by discuss
ing the amount of frequencies necessary to locate and quantify the damage u
niquely. Two different procedures of damage identification are used, which
mainly take advantage of the peculiar characteristics of the problem. Cases
with pseudoexperimental and experimental frequencies are solved. A general
ization of the procedure based on finite-element models, which makes possib
le the tackling complex structural cases, is illustrated and discussed with
some examples.