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Journal ArticleDOI

Structural damage identification using transfer matrix with lumped crack properties

23 Mar 2016-Inverse Problems in Science and Engineering (Taylor & Francis)-Vol. 24, Iss: 3, pp 422-447
TL;DR: In this paper, a beam element with multiple cracks is modeled as an element of zero length and mass, but with elastic properties, and a transfer matrix (TM) approach is used to detect the cracks.
Abstract: 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 measur...
Citations
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01 Dec 2013

185 citations

Journal ArticleDOI
TL;DR: In this paper, the authors considered the high-order vibration characteristics of structures with multi-cracks and established finite element models for concrete steel beam and bridge with cracks under three different conditions and obtained vibration frequency and three order modes through simulation.
Abstract: Complex bridges will inevitably have cracks in operation. Dynamic characteristics with crack structures have been researched central issues. In the past, few researches were conducted from the whole structure of bridges with multi-cracks. In the meanwhile, related experimental research and systematic numerical simulation were lacking. In addition, researches on cracks seldom considered the high-order vibration characteristics of structures with multi-cracks. Aimed at this problem, this paper selected the whole bridge structure which was widely applied in engineering to study dynamic characteristics. For the concrete steel bridge with two cracks, this paper established finite element models for concrete steel beam and bridge with cracks under three different conditions and obtained vibration frequency and three order modes through simulation. Then, this paper analyzed and verified the correctness of numerical simulation result through experiment. Based on the verified model, this paper conducted a systematic analysis and summary, and obtained the following findings: The vibration frequency of concrete steel beams with cracks was obviously affected by cracks. The higher the order was, the greater the impact of cracks on frequency would be and the smaller the impact of cracks on the amplitude of modes would be. With the increased crack depth, the impact on the vibration frequency of concrete steel beams was more obvious. Additionally, crack distance also had some impacts on the dynamic characteristics of concrete steel beams. Numerical simulation model and method in this paper provided foundation and reference for continuing to analyze concrete steel beams with other crack forms or other structural forms. In the meanwhile, the three-dimensional analytical contour in this paper could help engineers to more intuitively understand and valuably apply the change rule of impact of crack depth and position on concrete steel beams.

35 citations


Cites background from "Structural damage identification us..."

  • ...For example, the fatigue strength reached the limit to cause the structural cracks under the condition of operation [4-8]....

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Journal ArticleDOI
TL;DR: In this paper, the capabilities of an enhanced sensitivity relation for the structural model updating are validated using a subset of the measured frequency response function (FRF) and natural freq...
Abstract: In this paper, the capabilities of an enhanced sensitivity relation for the structural model updating are validated using a subset of the measured frequency response function (FRF) and natural freq...

6 citations


Cites methods from "Structural damage identification us..."

  • ...Nandakumar and Shankar [34] used experimental transfer function data for identification of multiple cracks of beam models....

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Journal ArticleDOI
TL;DR: In this paper, the free vibration analysis of a double tapered beam having linearly varying both thickness and width, by using finite element and component mode synthesis methods, is presented.
Abstract: This study presents the free vibration analysis of a double tapered beam having linearly varying both thickness and width, by using finite element and component mode synthesis methods. To determine...

3 citations

Journal ArticleDOI
TL;DR: In this paper, a novel spectral transfer matrix for a cracked beam element is developed and the same matrix is used to identify the crack parameters on the beam structures, where the same spectral transfer matrices are used to detect the cracks in the beam elements.
Abstract: A novel spectral transfer matrix for a cracked beam element is developed in this article and the same is used to identify the crack parameters on the beam structures. Spectral transfer matrix is de...

1 citations

References
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Journal ArticleDOI
TL;DR: The wave propagation approach combined with a genetic algorithm and the gradient technique for damage detection in beam-like structures and an iterative strategy for determination of the crack location and size is described.

130 citations


"Structural damage identification us..." refers methods in this paper

  • ...Krawczuk [9] detected the crack in beamlike structures using wave propagation method using Genetic Algorithm (GA) and gradient search technique....

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Journal ArticleDOI
TL;DR: In this paper, a non-classical approach of genetic algorithms is employed as the search tool for its several advantages including ease of implementation and desirable characteristics of global search, and a numerical simulation study is presented, including a fairly large system of 50 degrees of freedom, to illustrate the identification accuracy and efficiency.

109 citations


"Structural damage identification us..." refers methods in this paper

  • ...[19,20] were the first to formulate a substructural identification method, which significantly reduces the computational effort....

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Journal ArticleDOI
TL;DR: In this paper, a special finite element for a cracked Timoshenko beam is developed to model the structure for FEM analysis, and shape functions for rotational and translational displacements are used to obtain the consistent mass matrix for the cracked beam element.

80 citations


"Structural damage identification us..." refers background or methods in this paper

  • ...[39] has a constraint that there should be only one crack in the cantilever....

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  • ...[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....

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Journal ArticleDOI
TL;DR: In this paper, a substructure approach was used to divide a complete structure into several substructures in order to significantly reduce the number of unknown parameters for each substructure so that damage detection processes can be independently conducted on each sub-structures.
Abstract: SUMMARY We propose a substructure approach that allows for the local damage detection of a shear structure. This method requires only three sensors to identify localized damage in any story of a shear structure building. A substructure approach was used in this method to divide a complete structure into several substructures in order to significantly reduce the number of unknown parameters for each substructure so that damage detection processes can be independently conducted on each substructure. Thus, our method is suitable for use in a parallel and distributed damage detection system. Simulations and experiments on five-story buildings were conducted to test the feasibility of our proposed method. Copyright © 2011 John Wiley & Sons, Ltd.

76 citations


"Structural damage identification us..." refers methods in this paper

  • ...Zhenhua and Akira [17] identified local damage detection using ARX and ARMAX models in the substructures of shear model....

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Journal ArticleDOI
TL;DR: In this article, a GA search in modal domains of a much smaller dimension than the physical domain is proposed, where the objective function is defined based on the estimated modal response in time domain and the corresponding modal responses transformed from the measured response.
Abstract: Though many methods of system identification are currently available for parameter estimation of structural systems, the challenge lies in the numerical difficulty in convergence when the number of unknowns is large. In this study, the genetic algorithms (GA) approach is adopted, which has several advantages over classical system identification techniques. Nevertheless, if applied directly, this approach requires tremendous computational time when dealing with structural systems large in both unknowns and degrees of freedom. A method is proposed herein to alleviate this problem by conducting a GA search in modal domains of a much smaller dimension than the physical domain. The objective function is defined based on the estimated modal response in time domain and the corresponding modal response transformed from the measured response. With some modification, this method also works well even with incomplete response measurement. Numerical examples of structural systems of up to 50 degrees of freedom are presented. Effects of measurement noise are considered.

67 citations


"Structural damage identification us..." refers methods in this paper

  • ...[24] used GA for searching structural parameters in the modal domain and identified parameters of a 50 DOF structure, which reduces tremendous computational effort....

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