Detection of crack location using cracked beam element method for structural analysis

Viola, Erasmo; Fédérici, Laure; Nobile, Lucio

doi:10.1016/s0167-8442(01)00053-2

Cited by 64 publications

(48 citation statements)

References 16 publications

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“…Viola et al [39] identified crack parameters in the same cantilever used in this example, using a frequency domain method from experimentally obtained measurements of unspecified noise content. The percentage of error in identification was 2.5% in crack depth and 0.53% in crack location in global structure.…”

Section: Comparison With Other Damage Detection Methodsmentioning

confidence: 99%

“…This is due to the lumping approximation of the crack as a single element. The method proposed by Viola et al [39] has a constraint that there should be only one crack in the cantilever. Similarly, the combined acceleration and power flow matching method has a limitation that there should be only one crack in each element.…”

Section: Comparison With Other Damage Detection Methodsmentioning

confidence: 99%

“…A uniform slender cantilever of cross section 50 × 5 mm and length of 520 mm, which was used by Viola et al [39] is considered here. The Young's modulus (E) of the beam material is 206 GPa and its density is 7850 kg m −3 .…”

Section: Example-1: Cantilever With Single Crackmentioning

confidence: 99%

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Structural damage identification using transfer matrix with lumped crack properties

Nandakumar

Shankar

2015

Inverse Problems in Science and Engineering

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A novel damage detection scheme is developed for detecting multiple cracks in beams, based on a transfer matrix (TM) approach. Lumped Crack TM of a beam element with multiple cracks is derived based on lumped crack properties. A cracked beam element is assumed as two intact beam elements connected with a hinge or torsional spring. The crack is modelled as an element of zero length and mass, but with elastic properties. Lumped crack approach is simpler for multiple cracks than the possible alternative methods. The state vector at a node includes displacements, forces and moments at that node; when it is multiplied with TM the state vector at the adjacent node can be obtained. The crack identification strategy used here, involves measuring the initial state vector at a node, in the zone of interest. The displacements at the adjacent nodes are measured and these are predicted using TM. Using an optimization algorithm the unknown crack parameters in the TM are solved by minimizing the deviation between measured and predicted displacements. The method is verified using several numerical models as well as experiments with cracked beams. The TM is shown to be suitable for local identification and also fast and accurate compare to other methods.

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Section: Comparison With Other Damage Detection Methodsmentioning

confidence: 99%

Section: Comparison With Other Damage Detection Methodsmentioning

confidence: 99%

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Structural damage identification using transfer matrix with lumped crack properties

Nandakumar

Shankar

2015

Inverse Problems in Science and Engineering

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“…Substituting Equations (14(a)) or (14(b)) into Equation (12) and minimising the energy functional by taking derivative with respect to six unknown parameters, one may obtain a set of non-linear governing equations of cracked beam, which is given below:…”

Section: Timoshenko Beam Theorymentioning

confidence: 99%

“…Different analytical methods have been proposed for the modelling of dynamic response of a cracked structure [5][6][7][8] having isometric and FGM material properties. Finite element methods have been widely employed to analyse cracked structures [9][10][11][12][13][14] since they can deal with engineering structures of complex geometry in an efficient manner. Ke et al [15] studied free vibration and elastic buckling of beams made of FGMs containing open edge cracks based on Timoshenko beam theory.…”

Section: Introductionmentioning

confidence: 99%

Crack modelling and detection in Timoshenko FGM beam under transverse vibration using frequency contour and response surface model with GA

Banerjee

Panigrahi

Pohit

2015

Nondestructive Testing and Evaluation

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Damage identification using combined transient power flow balance and acceleration matching technique

Varghese

Shankar

2013

Struct. Control Health Monit.

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This paper presents a multiobjective optimization formulation to detect and quantify crack damage in beam structures at variable locations. It is implemented at the substructure level where the concept is to balance the instantaneous power flow by equating the input power to the dissipated power and the time rate of change of kinetic and strain energies and power transferred to adjacent substructures. This imbalance is reduced to zero to identify the structural parameters or damages. For improved results, the power balance method is combined with conventional acceleration matching method where the objective is to minimize the deviation between measured and estimated accelerations-no additional sensors are required to incorporate the extra power flow balance criteria. Numerical simulations are performed for a lumped mass system, a planar truss structure, and a cantilever beam of 20 elements with multiple damages to evaluate the accuracy of the proposed method. Effects of noise are also taken into account by contaminating the measured responses with 3%, 5%, and 10% Gaussian noise. The particle swarm optimization is used as the optimization algorithm, and normalized fitness functions are defined for both power flow and acceleration components with weighted aggregation multiobjective optimization technique. The effects of various weighting factors for the combined objective function are also studied. The results demonstrate that improvement in accuracy of damage detection is achieved by the combined method, when compared with previous acceleration only matching method as well as other methods.

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Detection of crack location using cracked beam element method for structural analysis

Cited by 64 publications

References 16 publications

Structural damage identification using transfer matrix with lumped crack properties

Structural damage identification using transfer matrix with lumped crack properties

Crack modelling and detection in Timoshenko FGM beam under transverse vibration using frequency contour and response surface model with GA

Damage identification using combined transient power flow balance and acceleration matching technique

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