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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

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...
Topics: State vector (51%), Beam (structure) (50%), Transfer matrix (50%)
Citations
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01 Dec 2013-

162 citations


Journal ArticleDOI
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.

32 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]....

    [...]


Journal ArticleDOI
Akbar Esfandiari1Institutions (1)
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...

3 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....

    [...]


Journal ArticleDOI
P. Nandakumar1, K. Shankar2Institutions (2)
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


Journal ArticleDOI
Mehmet Haskul1, Murat Kisa2Institutions (2)
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...

References
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"Structural damage identification us..." refers background in this paper

  • ...4 with generations.[35] The α1 and α2 are two acceleration constants set to two....

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L Meirovitch, Robert G. Parker1Institutions (1)
17 Jul 2000-
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Journal ArticleDOI
Ruben E. Perez1, Kamran Behdinan2Institutions (2)
TL;DR: Improvements, effect of the different setting parameters, and functionality of the algorithm are shown in the scope of classical structural optimization problems, and results show the ability of the proposed methodology to find better optimal solutions for structural optimization tasks than other optimization algorithms.
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Journal ArticleDOI
Abstract: A continuous cracked beam vibration theory is developed for the lateral vibration of cracked Euler–Bernoulli beams with single-edge or double-edge open cracks. The Hu–Washizu–Barr variational formulation was used to develop the differential equation and the boundary conditions of the cracked beam as a one-dimensional continuum. The displacement field about the crack was used to modify the stress and displacement field throughout the bar. The crack was modelled as a continuous flexibility using the displacement field in the vicinity of the crack, found with fracture mechanics methods. The results of two independent evaluations of the lowest natural frequency of lateral vibrations for beams with a single-edge crack are presented: the continuous cracked beam vibration theory developed here, and a lumped cracked beam vibration analysis. Experimental results from aluminum beams with fatigue cracks are very close to the values predicted. A steel beam with a double-edge crack was also investigated with the above mentioned methods, and results compared well with existing experimental data.

468 citations


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

  • ...[2] developed a continuous cracked beam theory for Euler-Bernoulli beams with single and double open edge crack....

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No. of citations received by the Paper in previous years
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20171
20131