An improved spectral decomposition flexibility perturbation method for finite element model updating

Yang, Qiuwei; Sun, BX; Lu, Chaoping

doi:10.1177/1687814018814920

Cited by 6 publications

(6 citation statements)

References 36 publications

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“…Finite element model updating is a technique to improve the prediction of the numerical simulations with the data from experimental test. In an article by Yang et al, 7 ''An improved spectral decomposition flexibility perturbation method for finite element model updating,'' the authors presented an improved technique in two aspects: (1) adopting a uniform correction model and (2) using the twice singular-valuetruncation method. A beam structure is used as a vehicle for model updating in a noisy environment, and it is reported that only the results obtained by the second singular value truncation is stable.…”

Section: Discussionmentioning

confidence: 99%

Numerical simulation of large-scale structural systems

Hariri-Ardebili

Furgani

Salamon

et al. 2019

Advances in Mechanical Engineering

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Section: Discussionmentioning

confidence: 99%

Numerical simulation of large-scale structural systems

Hariri-Ardebili

Furgani

Salamon

et al. 2019

Advances in Mechanical Engineering

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“…We note that the linear approximation was adopted in the above sensitivity analysis. Reference [27] discusses the influence of the linear approximation on fault diagnosis results. It was found that the fault coefficients calculated from the linear approximation equations are always larger than the true values.…”

Section: The Hybrid Sensitivitymentioning

confidence: 99%

Structural Fault Diagnosis Based on Static and Dynamic Response Parameters

2023

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Structural fault diagnosis is an important subject for ensuring the normal use of structures. More test data will help to improve the accuracy and reliability of structural fault diagnosis. Therefore, a structural fault detection algorithm based on static–dynamic mixed sensitivity analysis is proposed. The vibration parameters used were the vibration modes of some of the nodes in the structure measured by the vibration test system. The static response parameter used was the vertical displacement of the structure under the gravity load measured by the static test system. In particular, the gravity load and the structure were connected rigidly to form a new added-mass system. The vibration mode of the additional-mass system was measured again to obtain more equations for fault evaluation. Based on the static and dynamic measurement data, the failure coefficients of all components in the structure were calculated through the mixed sensitivity of the static displacement and vibration-mode shape. According to the calculated value of the failure coefficient, the failure state of all components in the structure could be finally evaluated. The main innovation of the proposed method was the use of the static load as a part of the new added-mass system to obtain more vibration parameters for the defect diagnosis. The implementation process and effect of this method were verified using a numerical truss structure and an experimental steel beam structure. Moreover, the defect diagnosis results of the proposed hybrid method were compared with those of a pure static algorithm and a pure dynamic algorithm to illustrate the advantages of the hybrid method. The research results showed that this method has the advantages of simple implementation and high diagnosis accuracy. Especially for symmetric structures, the proposed method can successfully avoid the possible missed diagnoses of the pure static algorithm and pure dynamic method. The algorithm provides a simple and feasible method for structural defect identification.

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“…Weng et al [79] proposed a damage assessment method based on the decomposition of the substructure's flexibility and found that the characteristic parameters obtained from decomposition of the substructure's flexibility were more sensitive to structural damage. Yang et al [80] improved the method based on the perturbation of flexibility by using spectral decomposition and obtained more accurate results from the model corrected through the method of using multiple feedback and truncation of singular values. Qi et al [81] constructed a damage localization index based on lower and upper (LU) decomposition of the proportional flexibility matrix and applied it to detect damage in composite beams.…”

Section: Assessing Damage By Decomposing the Flexibilitymentioning

confidence: 99%

Structural Damage Detection Based on Static and Dynamic Flexibility: A Review and Comparative Study

Peng,

Yang,

Qin

et al. 2023

Coatings

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Material damage in structures must be detected in a timely manner to prevent engineering accidents. Damage detection based on structural flexibility has attracted widespread attention in recent years due to its simplicity and practicality. This article provides a detailed overview of damage detection methods based on structural flexibility. Depending on the calculation method and data used, flexibility-based methods can be divided into the following categories: flexibility difference, flexibility derivative index, flexibility sensitivity, flexibility decomposition, static flexibility, and combinations of flexibility with other methods. The basic principles and main calculation formulas of various flexibility methods are explained, and their advantages and disadvantages are analyzed. For the method using flexibility difference, the advantage is that the calculation is very simple and does not require the construction of a finite element model of the structure. The disadvantage is that it requires the measurement of modal data of the intact structure, and this method cannot quantitatively assess the degree of damage. For the method using the flexibility derivative index, the advantage is that it only requires the modal data of the damaged structure to locate the damage, but this method is particularly sensitive to noise in the data and is prone to misjudgment. For methods based on flexibility sensitivity and flexibility decomposition, the advantage is that they can simultaneously obtain the location and degree of damage in the structure, but the disadvantage is that they require the establishment of accurate finite element models in advance. Static flexibility methods can compensate for the shortcomings of dynamic flexibility methods, but they usually affect the normal use of the structure during static testing. Combining flexibility-based methods with advanced intelligent algorithms and other methods can further improve their accuracy and efficiency in identifying structural damage. Finally, this article discusses the challenges that have not yet been solved among damage detection methods based on structural flexibility.

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An improved spectral decomposition flexibility perturbation method for finite element model updating

Cited by 6 publications

References 36 publications

Numerical simulation of large-scale structural systems

Numerical simulation of large-scale structural systems

Structural Fault Diagnosis Based on Static and Dynamic Response Parameters

Structural Damage Detection Based on Static and Dynamic Flexibility: A Review and Comparative Study

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