Crack identification in frame structures

Nikolakopoulos, Pantelis G.; Katsareas, D.E.; Papadopoulos, Chris

doi:10.1016/s0045-7949(96)00120-4

Cited by 87 publications

(40 citation statements)

References 8 publications

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“…[21][22][23], transfer matrix analysis is introduced for the derivation of the stiffness matrix of the cracked element, and the FE model for the cantilever beam is presented. The present study uses an FE model simplified from the model by Ref.…”

Section: Finite Element Modelmentioning

confidence: 99%

“…The present study uses an FE model simplified from the model by Ref. [21][22][23] to investigate the flexural vibration characteristics of a cracked rotor.…”

Section: Finite Element Modelmentioning

confidence: 99%

“…Based on the research of Gudmundson and Gounaris, Nikolakopoulos presented the dependency of the structural eigenfrequencies on crack depth and location in contour graph form. To identify the location and depth of a crack, the intersection points of the superposed contours that correspond to the measured eigenfrequency variations and caused by the presence of the crack should be determined [23]. With the model from Nikolakopoulos, Suh presented a detection method that uses the hybrid neuro-genetic technique to identify the location and depth of a crack on a structure [24].…”

Section: Introductionmentioning

confidence: 99%

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Crack identification in a rotor with an open crack

Dong

Chen

2009

J Mech Sci Technol

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A finite element (FE) model, which is based on a transfer matrix analysis and local flexibility theorem, is introduced for crack identification of a static (non-rotating) rotor with an open crack. Through numerical simulation, the effects of crack location and crack depth on the mode shapes and the changes in the eigenfrequencies of the cracked rotor are investigated. A crack identification algorithm that makes use of the translations of the first mode at two symmetric points and the contour diagram of crack location versus crack depth for the first two given normalized eigenfrequencies is proposed to estimate the crack location and depth in the rotor. Two illustrative examples are demonstrated and compared for availability and validity of the proposed algorithm.

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Section: Finite Element Modelmentioning

confidence: 99%

“…The present study uses an FE model simplified from the model by Ref. [21][22][23] to investigate the flexural vibration characteristics of a cracked rotor.…”

Section: Finite Element Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Crack identification in a rotor with an open crack

Dong

Chen

2009

J Mech Sci Technol

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“…Hasen (3) applied the Narkis's technique to a beam on an elastic foundation. Nikolakopoulos et al (5) used a procedure with natural frequencies to find the crack location and the depth in the frame structure. Horibe et al (6) (7) (8) presented a method to identify a crack using genetic algorithm (GA).…”

Section: Introductionmentioning

confidence: 99%

Crack Identification in Beam Using Genetic Algorithm and Three Dimensional p-FEM

Horibe

Takahashi

2007

JMMP

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In this paper, a method for identification of a crack in a beam is demonstrated by the use of the genetic algorithm (GA) based on changes in natural frequencies. To calculate the natural frequencies of cracked beams, p-FEM code, which is based on a parametric three dimensional finite element, is developed because the accuracy of the forward analysis is important. In the analysis, an edge crack model is considered. To identify the crack location and the depth from frequency measurements, crack parameters of the beam are coded into a fixed-length binary digit string. By using GA, the square sum of residuals between the measured data and the calculated data is minimized in the identification process and thus the crack is identified. To avoid a high calculation cost, a response surface method (RSM) is also adopted in the minimizing process. The combination of GA and RSM have made the identification more effective and robust. The availability of the proposed method is confirmed by the results of numerical simulation.

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“…Dimarogonas and Massouros [8] investigated the dynamic behaviour of a circumferentially cracked shaft in torsion and proposed nomographs for ÿnding the crack depth and location. Nikolakopoulos et al [9] presented the dependency of the structural eigenfrequencies on crack depth and location in contour graph form. To identify the location and depth of a crack, they determined the intersection points of the superposed contours that correspond to the measured eigenfrequency variations caused by the crack presence.…”

Section: Introductionmentioning

confidence: 99%

Crack identification of a planar frame structure based on a synthetic artificial intelligence technique

Shim

Suh

2003

Numerical Meth Engineering

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SUMMARYIt has been established that a crack has an important e ect on the dynamic behaviour of a structure. This e ect depends mainly on the location and depth of the crack. To identify the location and depth of a crack in a planar frame structure, a method is presented in this paper which uses a synthetic artiÿcial intelligence technique, i.e. adaptive-network-based fuzzy inference system (ANFIS) solved via a hybrid learning algorithm (the backpropagation gradient descent and the least-squares method) and continuous evolutionary algorithms (CEAs) solving single objective optimization problems with a continuous function and continuous search space e ciently are uniÿed. With ANFIS and CEAs it is possible to formulate the inverse problem. ANFIS is used to obtain the input (the location and depth of a crack) -output (the structural eigenfrequencies) relation of the structural system. CEAs are used to identify the crack location and depth by minimizing the di erence from the measured frequencies. We have tried this idea on 2D beam structures and the results are promising.

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Crack identification in frame structures

Cited by 87 publications

References 8 publications

Crack identification in a rotor with an open crack

Crack identification in a rotor with an open crack

Crack Identification in Beam Using Genetic Algorithm and Three Dimensional p-FEM

Crack identification of a planar frame structure based on a synthetic artificial intelligence technique

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