Finite element model updating using frequency response function data

Imregun, M.; Şanlıtürk, Kenan Y.; Ewins, D. J.

doi:10.1006/mssp.1995.0016

Cited by 71 publications

(22 citation statements)

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“…Real applications of structural model updating methods arise several challenging issues and have been investigated by researchers through experimental studies . Ziaei Rad and Imregun studied the required experimental accuracy for finite element (FE) model updating by FRF‐based updating techniques.…”

Section: Introductionmentioning

confidence: 99%

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Structural model updating using incomplete transfer function and modal data

Farshadi

Esfandiari

Vahedi

2016

Struct Control Health Monit

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Structural damage detection by non-destructive techniques has been investigated widely by researchers in recent years, and several response-based Structural Health monitoring techniques have been developed. In this paper, a vibration-based damage detection algorithm through model updating utilizing incomplete frequency response function and modal data is presented. First, a modified sensitivity equation is presented to relate the changes of mode shapes to the changes of unknown structural parameters. Then, the developed equations are used to correlate changes of frequency response functions to the changes of structural parameters. Parameter estimation is conducted through least square solution of sensitivity equations. In order to prove the capability of the proposed method for structural damage detection purpose, a numerical example using error contaminated data is presented. Results exhibit robustness of method against measurement and mass modeling errors. KEYWORDS damage detection, frequency response function, modified modal method, sensitivity equation | INTRODUCTIONEvery structure may experience changes in structural properties during its design life because of the occurrence of several conditions such as extreme loading, earthquake, strong wind, erosion, and fatigue. Even if a structure is managed to withstand such changes, it is crucial to investigate its integrity. To ensure this objective, many algorithms have recently been developed to detect the location and severity of structural damages and evaluation of its safety. The basic principle of damage detection algorithms is because damage can cause detectable changes in structural response.A general classification of damage identification techniques refers to types of data used to detect damage including static and dynamic data. Most common dynamic features are modal data including mode shapes, [1,2] natural frequencies, [3,4] strain energy, [5] transfer function parameters, [6] measured modal flexibility, [7,8] frequency response function (FRF), [9][10][11][12] time domain structural responses, [13][14][15] or a combination of these features. [16,17] Damage detection by model updating is the process of modification of structural parameters to minimize discrepancy between response of structure and numerical model. The response residual can be minimized by various approaches. [18][19][20] Because model updating is an inverse problem and the relationship between structural parameters and measured response is inherently nonlinear, methods known as sensitivity-based approaches are developed to simplify solving this problem through linearization of equations. [21] Model updating using FRF improves predictive capabilities of updating procedure through providing large amount of information and has been used by some researchers. [22][23][24] One of the main advantages of using FRFs data in sensitivity-based model updating algorithm is avoiding propagation of errors in parameter estimation. [25,26] By sensitivity-based approaches, FRF residual is minimized to eval...

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Section: Introductionmentioning

confidence: 99%

“…The initial FEM of the beam was updated accurately with high correlation in dynamic properties. Imregun et al studied on a plate‐beam structure and demonstrated that FEM updating using measured FRF data is possible.…”

Section: Introductionmentioning

confidence: 99%

Structural model updating using incomplete transfer function and modal data

Farshadi

Esfandiari

Vahedi

2016

Struct Control Health Monit

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“…rough the linear correlation between the row and column of the sensitivity matrix, Kwon and Lin [80] introduced the parameter independent index (PDI) like the MAC matrix to guide the selection of the optimal frequency point data for model modification and carried out the model modification of the selected frequency point. Imregun et al [81] further studied the method, systematically derived the relationship between the frequency response function and the dynamic stiffness matrix of the model, introduced the error parameters of design parameters, measured dynamic stiffness and theoretical dynamic stiffness into the equation, and solved the correction through the modified parametric equation. Lin and Zhu [82] proposed a method to modify the finite element model by using the frequency response function of unit excitation and verified the validity and adaptability of this method.…”

Section: Model Modification Based On Rfmmentioning

confidence: 99%

Research Progress of Synthesis and Modification Methods Based on Dynamic Substructures

Wang²

2020

Shock and Vibration

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In the process of model modification of large and complex structures, substructure synthesis method and modal reduction method have been widely used, but there are still some difficulties in precision control and engineering application in the process of model updating. In order to better study the dynamic response of the vibration substructure, the synthesis and correction method of the classical dynamic substructure is described in this paper, which provides a new idea for further engineering development. In the aspect of substructure synthesis method, the modal reduction of substructures, two methods of classical substructure synthesis, mechanical impedance method, singular value decomposition method, rigidity-flexibility equivalence, and transformation of degree of freedom are analyzed. The advantages and disadvantages of the above methods are discussed. In terms of substructure modification, the reference datum method, function dynamic modification method, neural network model modification, and frequency response function modification are analyzed, and the shortcomings of the dynamic substructure modification method are summarized. Finally, the development trend of dynamic substructure synthesis and modification algorithm is proposed.

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“…However, it was found that using too many measured frequencies resulted in the updating parameters being adjusted minimally with each iteration. According to Imregun et al [23], there is a cut-off in the number of measured frequencies used where using more measured frequencies is no longer beneficial as the number of iterations needed to reach convergence is significantly increased.…”

Section: Numerical Validationmentioning

confidence: 99%

FRF Sensitivity-Based Damage Identification Using Linkage Modeling for Limited Sensor Arrays

Nguyen

Liu

Erkmen

et al. 2018

Int. J. Str. Stab. Dyn.

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This paper presents a novel method to localize and quantify damage in a jack arch structure by introducing a linkage modeling technique to overcome issues caused by having limited sensors. The main strategy in the proposed Frequency Response Function (FRF)-based sensitivity model updating approach is to divide the specimen into partitions. The Young’s modulus of each partition is then updated to detect stiffness reduction caused by damage. System Equivalent Reduction Expansion Process (SEREP) is used to reduce the full finite element (FE) model to a linkage model. The number of measured degrees of freedom (DOFs) is then expanded to the linkage model using the mass and stiffness matrices of the linkage model for the synthesis of interpolated FRFs. The FRF sensitivities are then formulated using the linkage model along with the interpolated FRFs to iteratively calculate the values of the updating parameters until convergence is achieved. The methodology and theory behind this procedure are discussed and verified using a numerical and experimental study. The successful implementation of this method has the potential to detect the location and severity of damage where sensor placement is limited.

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Finite element model updating using frequency response function data

Cited by 71 publications

References 0 publications

Structural model updating using incomplete transfer function and modal data

Structural model updating using incomplete transfer function and modal data

Research Progress of Synthesis and Modification Methods Based on Dynamic Substructures

FRF Sensitivity-Based Damage Identification Using Linkage Modeling for Limited Sensor Arrays

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