A highly efficient method for structural model reduction

Yang, Qiuwei; Peng, Xi

doi:10.1002/nme.7129

Cited by 12 publications

(7 citation statements)

References 28 publications

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“…From Equations (7) and (11), one obtains On the other hand, structural flexibility F can also be approximately obtained through structural free-vibration tests. Using the system matrices K and M, the free-vibration modes can be computed through the following generalized eigenvalue problem as [11]:…”

Section: Definition Of Structural Flexibility and Testing Methodsmentioning

confidence: 99%

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

Peng,

Yang,

Qin

et al. 2023

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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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Section: Definition Of Structural Flexibility and Testing Methodsmentioning

confidence: 99%

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

Peng,

Yang,

Qin

et al. 2023

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“…where D( f ) represents a diagonal matrix whose diagonal element is the mass corresponding to the load vector f . Finally, Equations (10), (21), and ( 22) can be combined to construct the hybrid sensitivity system, as follows:…”

Section: The Hybrid Sensitivitymentioning

confidence: 99%

“…We note that the pure static algorithm computed the fault coefficients using Equation (10) with only static data. The pure dynamic algorithm computed the fault coefficients using Equation (21) with only dynamic data. From Figures 4-6, one can find that the fault coefficients obtained by the hybrid method more clearly indicated that the fault was located in bar element 3.…”

Section: Numerical Examplementioning

confidence: 99%

“…Almeida et al [20] developed a fault diagnosis approach by considering both the time and frequency responses of structural dynamic responses. Yang et al [21,22] studied a dynamic model reduction and carried out fault diagnosis using modal sensitivity based on a reduced model. Peng et al [23] developed a dynamic flexibility method for fault diagnosis in steel truss structures.…”

Section: Introductionmentioning

confidence: 99%

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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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“…The disparities between the analytical data and the measured data for damage detection were reduced using the modal sensitivity approach based on Bayesian parameter estimation. To solve the problem of incomplete measurement, Yang and Peng developed the model condensation method [ 18 ] and proposed the modal condensation sensitivity [ 19 ] for the damage identification of beam structures. Pooya and Massumi [ 20 ] used the difference between mode shape curvature and the mode shape curvature estimation of damaged structures as an indicator to identify the damage location.…”

Section: Introductionmentioning

confidence: 99%

Structural Damage Identification Using the Optimal Achievable Displacement Variation

2022

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To ensure the safe use of structures, it is essential to develop efficient damage identification techniques. In this paper, a brand-new approach to identifying structural deterioration based on static displacement is proposed. First, the relationship between the displacement variation and the damaged element is derived from the static response equations before and after damage. Subsequently, the optimal achievable displacement variation is defined to determine the damage location in the structure. A progressive elimination strategy is suggested to identify the real damaged parts and weed out the pseudo-damaged elements by measuring the distance between the measured and the best possible displacement variation. After determining the damage location, the corresponding damage extent can be calculated by a system of linear equations. The proposed approach has been tested on a beam structure and truss structure using simulated and experimental data. Compared with the existing static sensitivity method, the suggested method does not result in misjudgment and has higher identification accuracy. It has been demonstrated that the suggested approach is effective at locating and assessing the extent of structural damage.

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A highly efficient method for structural model reduction

Cited by 12 publications

References 28 publications

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

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

Structural Fault Diagnosis Based on Static and Dynamic Response Parameters

Structural Damage Identification Using the Optimal Achievable Displacement Variation

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