Damage identification by the eigenparameter decomposition of structural flexibility change

Yang, Qi; Liu, J. K.

doi:10.1002/nme.2494

Cited by 65 publications

(38 citation statements)

References 28 publications

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“…Without loss of generality, we can assume that K i in the global coordinate has a dimension of n and a rank of r , where r < n . Yang and Liu proposed the eigen‐parameter decomposition of an elemental stiffness matrix K i as follows:

K_{i} = U_{i} Λ_{i} U_{i}^{T} = \sum_{j = 1}^{r} σ_{i}^{j} u_{i}^{j} {(u_{i}^{j})}^{T},

where K i is the stiffness matrix of the i th element in the global coordinate with a size of n × n , n denotes the number of structural DOFs.

σ_{i}^{j}

represents the j th eigenvalue of K i ,

u_{i}^{j}

stands for the corresponding eigenvector, Λ i refers to the eigenvalue matrix, and U i signifies the eigenvector matrix.…”

Section: Theoretical Formulationmentioning

confidence: 99%

Damage quantification of beam structures using deflection influence lines

Chen

Cai

Zhu

2018

Struct Control Health Monit

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Summary Influence lines (ILs) have recently been proposed as an emerging index for structural damage localization. This study investigated a novel damage detection and quantification method that is based on deflection ILs (DILs) for beam structures. By reconstructing DIL matrices using a matrix decomposition method, the relationship between structural damage and changes in DILs was revealed. Subsequently, a DIL‐based method was proposed to locate and quantify damage in beam structures. Numerical case studies and laboratory experiments were conducted to investigate the effectiveness of the proposed method in different scenarios, namely, single or multiple damages in a one‐span simply supported beam and a two‐span continuous beam. Satisfactory damage localization and quantification results were achieved even with noise interference in the measurements. The influences of sensor number and locations were also examined in the numerical studies. In general, an increasing number of sensors and short distance from the measurement points to the damage locations benefited the damage detection accuracy. The numerical and experimental results demonstrated that the proposed DIL‐based method will be a promising field detection technique for the localization and quantification of damage in bridges.

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K_{i} = U_{i} Λ_{i} U_{i}^{T} = \sum_{j = 1}^{r} σ_{i}^{j} u_{i}^{j} {(u_{i}^{j})}^{T},

where K i is the stiffness matrix of the i th element in the global coordinate with a size of n × n , n denotes the number of structural DOFs.

σ_{i}^{j}

represents the j th eigenvalue of K i ,

u_{i}^{j}

stands for the corresponding eigenvector, Λ i refers to the eigenvalue matrix, and U i signifies the eigenvector matrix.…”

Section: Theoretical Formulationmentioning

confidence: 99%

Damage quantification of beam structures using deflection influence lines

Chen

Cai

Zhu

2018

Struct Control Health Monit

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“…4 Once the eigenvalue and eigenvector matrices are determined from a power spectral analysis, the differential flexibility matrix is determined by subtracting the baseline modal flexibility matrix from the damage modal flexibility matrix. The number of damaged elements in the system is given by the number of non-zero values in the diagonal of the eigenvalue matrix of the differential flexibility matrix.…”

Section: Eigenparameter Decomposition Of Structural Flexibility Changementioning

confidence: 99%

“…4 It has been observed that one of the greatest advantages of using the modal flexibility matrix instead of the stiffness matrix to detect damage is that the modal flexibility matrix can be accurately be determined using only a few of the lower frequency modes (which are less prone to measurement errors produced by noise) and that it is very sensitive to damage. 5 However, this method has been shown to be able to locate and calculate damage extent in a purely analytical framework.…”

Section: Introductionmentioning

confidence: 99%

“…5 However, this method has been shown to be able to locate and calculate damage extent in a purely analytical framework. 4 The work presented in this paper consists of validating the ED method, in an experimental framework. The modal flexibility matrix for the structure used to validate the ED method was determined using the structure's natural frequencies and mass-normalized modes.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental validation of a modal flexibility-based damage detection method for a cyber-physical system

Martínez-Castro¹,

Eskew²,

Jang³

2014

SPIE Proceedings

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The detection and localization of damage in a timely manner is critical in order to avoid the failure of structures. When a structure is subjected to an unscheduled impulsive force, the resulting damage can lead to failure in a very short period of time. As such, a monitoring strategy that can adapt to variability in the environment and that anticipates changes in physical processes has the potential of detecting, locating and mitigating damage. These requirements can be met by a Structural Control (SC) system that is capable of measuring and analyzing dynamic responses in real time. Such a system requires an effective damage identification method capable of locating and quantifying damage. The Eigenparameter Decomposition (ED) of Structural Flexibility Change method is validated with real data and can be used in the computational core of this system. The condition screening is implemented on a damaged structure and compared to an original baseline calculation, hence providing a supervised learning environment. A laboratory-scale experimental study on a 5-story shear building with different damage conditions subjected to an impulsive force has been chosen to validate the effectiveness of the proposed method. The effectiveness of the ED method to locate damage is compared to that of the Damage Index method. The ED method has also been modified to be able to locate and quantify damage. The experimental study shows the effectiveness of the modified method.

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“…10 provided an overview of methods to detect, locate, and characterize damage in structural and mechanical systems by examining changes in measured vibration response. Yang and Liu 11 used the eigenparameter decomposition of structural flexibility change in structural damage detection. Barone et al .…”

Section: Introductionmentioning

confidence: 99%

Glyco‐Scan: Varying Glycosylation in the Sequence of the Peptide Hormone PYY3‐36 and Its Effect on Receptor Selectivity

et al. 2010

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The increasing prevalence of obesity worldwide calls for safe and highly efficacious satiety drugs. PYY3-36 has been implicated in food intake regulation, and novel peptide analogues with high Y2 receptor-subtype selectivity and potency have potential as drugs for the treatment of obesity. It has been hypothesized that PYY3-36 associates with the plasma membrane prior to receptor activation such that the amphipathic alpha-helix of PYY3-36 possibly guides the C-terminal pentapeptide into the correct conformation for receptor activation. Ala-scans are used routinely to study the effect of individual amino acids in a given peptide sequence. Here we report the glyco-scan of the peptide hormone PYY3-36, in which hydroxyl side-chain functionalities were glycosylated; in addition new glycosylation sites were introduced. An array of novel PYY3-36 analogues with a glycan positioned in the water-membrane interface or in the N terminal were screened for Y-receptor affinity and selectivity as well as metabolic stability. Interestingly, in contrast to the Y1 and Y4 receptors, the Y2 receptor readily accommodated glycosylations. Especially glycosylations in the alpha-helical region of PYY3-36 were favorable both in terms of Y-receptor selectivity and endopeptidase resistance. We thus report several PYY3-36 analogues with enhanced Y-receptor selectivity. Our results can be used in the design of novel PYY analogues for the treatment of obesity. The glyco-scan concept, as systematically demonstrated here, has the potential for a wider applicability.

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Damage identification by the eigenparameter decomposition of structural flexibility change

Cited by 65 publications

References 28 publications

Damage quantification of beam structures using deflection influence lines

Damage quantification of beam structures using deflection influence lines

Experimental validation of a modal flexibility-based damage detection method for a cyber-physical system

Glyco‐Scan: Varying Glycosylation in the Sequence of the Peptide Hormone PYY3‐36 and Its Effect on Receptor Selectivity

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