Sensitivity Analysis Using a Reduced Finite Element Model for Structural Damage Identification

Yang, Qiuwei; Peng, Xi

doi:10.3390/ma14195514

Cited by 9 publications

(10 citation statements)

References 37 publications

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“…Yang et al proposed a fast sensitivity analysis algorithm based on the reduced fnite element model. Te basic idea of the proposed sensitivity analysis algorithm is to use a model reduction technique to avoid the complex calculation required in solving eigenvalues and eigenvectors by the complete model [22].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Model Updating of Steel Arch Bridge Based on First-Order Mode Test Data

Luo

Zhang

Shen

et al. 2023

Shock and Vibration

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In order to obtain an accurate finite element model of a steel arch bridge, a first-order modal finite element model updating method is proposed by using the measured first-order modal data of the bridge. Using the measured acceleration time history data under random excitation and the first-order mode updating method, the stiffness matrix of the finite element model is updated, and the first-order frequencies and first-order mode shapes before and after updating of the model are compared and analyzed. The state space method is used to compare and analyze the dynamic response and the reliability of the structure before and after the updating of the model. The results show that the difference of the first-order frequencies between the updated finite element model and the measured result is about 0.001, and the difference of the first-order mode shapes is less than 0.197, which meets the needs of engineering. Dynamic response values of the updated structural model are much larger than those of the structural model before updating. The theoretical model is different from the dynamic response of actual structure, so it is necessary to update the theoretical model. The finite element model updating method can provide a reliable analytical way for bridge structural health monitoring, state evaluation, and damage identification.

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Section: Introductionmentioning

confidence: 99%

Finite Element Model Updating of Steel Arch Bridge Based on First-Order Mode Test Data

Luo

Zhang

Shen

et al. 2023

Shock and Vibration

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“…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%

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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“…To this end, many research studies have been performed over the years in the area of damage identification, by using structural static or dynamic response data [1][2][3]. Common methods of structural damage identification include static displacement method [4,5], strain mode method [6,7], modal sensitivity method [8][9][10], residual force vector method [11,12], intelligent optimization algorithm [13,14], strain energy method , etc. Among them, strain energy method has attracted extensive attention because of its clear physical meaning.…”

Section: Introductionmentioning

confidence: 99%

Damage Identification for Shear-Type Structures Using the Change of Generalized Shear Energy

2022

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Structural damage identification has become an important topic in the field of civil engineering in recent years. The shear-type structure, such as shear frame structure, is a common type used in civil engineering. In this paper, a damage identification method based on the change of generalized shear energy is proposed for shear-type structures. The main steps of the proposed method are as follows. Firstly, the element stiffness matrix in the structural finite element model is decomposed to obtain the elementary shear force vector. Secondly, the elementary generalized shear energy is calculated by the dot product of the vibration mode shape vector and the elementary shear force vector. Thirdly, structural damage locations can be determined by the changes of elementary generalized shear energy. Finally, more accurate damage localization and quantification are achieved by solving the mode shape sensitivity equation. A 20-storey numerical example and a three-storey experimental model are used to demonstrate the proposed damage identification algorithm. From the numerical and experimental results, it was found that the proposed approach can accurately identify the location and extent of the damage in the shear structures even if the data contain noise. It has been shown that the presented algorithm may be useful in the damage identification of shear-type structures.

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Sensitivity Analysis Using a Reduced Finite Element Model for Structural Damage Identification

Cited by 9 publications

References 37 publications

Finite Element Model Updating of Steel Arch Bridge Based on First-Order Mode Test Data

Finite Element Model Updating of Steel Arch Bridge Based on First-Order Mode Test Data

Structural Fault Diagnosis Based on Static and Dynamic Response Parameters

Damage Identification for Shear-Type Structures Using the Change of Generalized Shear Energy

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