Structural damage identification using transfer matrix with lumped crack properties

Nandakumar, P.; Shankar, K.

doi:10.1080/17415977.2015.1047360

Cited by 6 publications

(5 citation statements)

References 41 publications

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“…The STMC method is also compared with other TM methods such as SCTM 25 and LCTM. 26 The same problem considered in this example was solved using these two TMs. The absolute percentage of error in identified crack depth (j) and location (l) by different TMs from complete set and noise-free responses is compared in Table 5.…”

Section: Comparison With Other Crack Detection Methodsmentioning

confidence: 99%

“…The global TM is obtained by pre-multiplying many elemental TMs; results of the global TM may give approximate results when they are used to analyze engineering problems. In order to prove the accuracy of the STMC, natural frequencies of a cantilever are determined using single crack transfer matrix (SCTM), 25 LCTM, 26 and STMC, and the results are compared with the exact values.…”

Section: Comparison Of Various Crack Tmsmentioning

confidence: 99%

“…The same frame with multiple cracks in member 4 was identified using the LCTM method. 26 In this method, the smallest crack depth of j = 0:05 was identified with an absolute error of 1.45% and 11.9% with complete and incomplete set of responses without noise, respectively. In STMC method, the same crack depth is identified with an absolute error of 1.01% and 4.11% with complete and incomplete sets of responses without noise, respectively.…”

Section: Example 2: Ss Of a Frame With Crackmentioning

confidence: 99%

“…The TM is obtained from the dynamic stiffness matrix, and it is used to identify the crack depth and location of the crack in a cantilever and the SS of a truss-like structure. Later, Nandakumar and Shankar 26 developed another novel TM known as the lumped crack transfer matrix (LCTM) in which the cracked beam element is assumed as two intact beam elements connected by a hinge. The LCTM for an element is obtained by multiplying the TMs of the individual segments of the element.…”

Section: Introductionmentioning

confidence: 99%

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Crack damage detection of structures using spectral transfer matrix

Nandakumar

Shankar

2020

Structural Health Monitoring

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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 developed from trigonometric functions based on the theory of fracture mechanics. This matrix determines the natural frequencies of a structure with crack with better accuracy than any other transfer matrices in the literature. The state vector at a node on the structure is formed which includes the displacement, rotation, internal and external forces, and moments at that node. When the state vector is multiplied with the transfer matrix, the state vector at the adjacent node is obtained. Each element is assumed to have a single open breathing crack with unknown depth and location. Initially, the developed spectral transfer matrix is used to determine the natural frequencies of a known cantilever, and after successful validation, the same is used for crack damage detection. By an inverse approach, crack parameters in each element are identified. The state vector at one node on the structure is obtained by measurement of input and out responses which is known as the initial state vector. Acceleration responses at selected nodes on the structure are measured and the state vectors at those nodes are predicted using spectral transfer matrices. The mean square error between measured and simulated responses is minimized using a heuristic optimization algorithm, with crack depth and location in each element as the optimization variables. Spectral transfer matrix method is applied to two numerical problems with single crack in each element; later, this method is successfully validated experimentally with structures having different boundary conditions. The accuracy in identified crack parameters and the applicability to sub-structures of a large structure are the important aspects of this method.

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Section: Comparison With Other Crack Detection Methodsmentioning

confidence: 99%

Section: Comparison Of Various Crack Tmsmentioning

confidence: 99%

Section: Example 2: Ss Of a Frame With Crackmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Crack damage detection of structures using spectral transfer matrix

Nandakumar

Shankar

2020

Structural Health Monitoring

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“…Cracks are very common for the beam. For example, the fatigue strength reached the limit to cause the structural cracks under the condition of operation [4][5][6][7][8]. The cracks will not only reduce the local stiffness of a structure, but also have some impacts on the mechanical behavior of the whole structural system.…”

Section: Introductionmentioning

confidence: 99%

Experimental research and finite element analysis on the dynamic characteristics of concrete steel bridges with multi-cracks

Cui¹,

Yang²,

Gou³

2017

J. vibroeng.

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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.

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Finite element model updating for structural damage detection using transmissibility data

Izadi,

Esfandiari

2024

Earthq. Eng. Eng. Vib.

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Structural damage identification using transfer matrix with lumped crack properties

Cited by 6 publications

References 41 publications

Crack damage detection of structures using spectral transfer matrix

Crack damage detection of structures using spectral transfer matrix

Experimental research and finite element analysis on the dynamic characteristics of concrete steel bridges with multi-cracks

Finite element model updating for structural damage detection using transmissibility data

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