On the use of the polynomial annihilation edge detection for locating cracks in beam-like structures

Cecilia Surace; Richard Archibald; Rishu Saxena

doi:10.1016/j.compstruc.2012.10.008

On the use of the polynomial annihilation edge detection for locating cracks in beam-like structures

Cecilia Surace
, Richard Archibald
, Rishu Saxena

Data Analysis and Machine Learning

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	72-83
Number of pages	12
Journal	Computers and Structures
Volume	114-115
DOIs	https://doi.org/10.1016/j.compstruc.2012.10.008
State	Published - Jan 2013

Keywords

Bending vibration
Cracked cantilever beam
Discontinuity
Mode shapes first derivative
Polynomial annihilation edge detection

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10.1016/j.compstruc.2012.10.008

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title = "On the use of the polynomial annihilation edge detection for locating cracks in beam-like structures",

abstract = "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.",

keywords = "Bending vibration, Cracked cantilever beam, Discontinuity, Mode shapes first derivative, Polynomial annihilation edge detection",

author = "Cecilia Surace and Richard Archibald and Rishu Saxena",

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doi = "10.1016/j.compstruc.2012.10.008",

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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 - https://www.scopus.com/pages/publications/84869458979

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 -

On the use of the polynomial annihilation edge detection for locating cracks in beam-like structures

Abstract

Keywords

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