TY - JOUR
T1 - On the use of the polynomial annihilation edge detection for locating cracks in beam-like structures
AU - Surace, Cecilia
AU - Archibald, Richard
AU - Saxena, Rishu
PY - 2013/1
Y1 - 2013/1
N2 - A crack in a structure causes a discontinuity in the first derivative of the mode shapes: On this basis, a numerical method for detecting discontinuities in smooth piecewise functions and their derivatives, based on a polynomial annihilation technique, has been applied to the problem of crack detection and localisation in beam-like structures for which only post-damage mode shapes are available. Using a finite-element model of a cracked beam, the performance of this methodology has been analysed for different crack depths and increasing amounts of noise. Given the crack position, a procedure to estimate its depth is also proposed and corresponding results shown.
AB - A crack in a structure causes a discontinuity in the first derivative of the mode shapes: On this basis, a numerical method for detecting discontinuities in smooth piecewise functions and their derivatives, based on a polynomial annihilation technique, has been applied to the problem of crack detection and localisation in beam-like structures for which only post-damage mode shapes are available. Using a finite-element model of a cracked beam, the performance of this methodology has been analysed for different crack depths and increasing amounts of noise. Given the crack position, a procedure to estimate its depth is also proposed and corresponding results shown.
KW - Bending vibration
KW - Cracked cantilever beam
KW - Discontinuity
KW - Mode shapes first derivative
KW - Polynomial annihilation edge detection
UR - http://www.scopus.com/inward/record.url?scp=84869458979&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2012.10.008
DO - 10.1016/j.compstruc.2012.10.008
M3 - Article
AN - SCOPUS:84869458979
SN - 0045-7949
VL - 114-115
SP - 72
EP - 83
JO - Computers and Structures
JF - Computers and Structures
ER -