Updating finite element dynamic models using an element-by-element sensitivity methodology

Farhat, Charbel; Hemez, François M.

doi:10.2514/3.11833

Cited by 240 publications

(117 citation statements)

References 15 publications

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“…The frequency range studied included the first fourteen modes of the structure: [5,55] Hz. A deterministic excitation was applied on the right drum and the response was measured with 24 sensors (see Fig.…”

Section: Applicationmentioning

confidence: 99%

“…Conversely, indirect or parametric methods lead to updated mass and stiffness matrices obtained through changes in the physical parameters of the model. The associated cost functions can be classified into three categories: input residuals [4,5], output residuals [6,7] and the specific residual called "Constitutive Relation Error (CRE)". The last residual, which is used in this paper, provides a measure of the quality of the updated model, which is essential for model validation.…”

Section: Introductionmentioning

confidence: 99%

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An Updating Method for Structural Dynamics Models with Uncertainties

Faverjon

Louf

2007

Shock and Vibration

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Abstract. One challenge in the numerical simulation of industrial structures is model validation based on experimental data. Among the indirect or parametric methods available, one is based on the "mechanical" concept of constitutive relation error estimator introduced in order to quantify the quality of finite element analyses. In the case of uncertain measurements obtained from a family of quasi-identical structures, parameters need to be modeled randomly. In this paper, we consider the case of a damped structure modeled with stochastic variables. Polynomial chaos expansion and reduced bases are used to solve the stochastic problems involved in the calculation of the error.

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Section: Applicationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Updating Method for Structural Dynamics Models with Uncertainties

Faverjon

Louf

2007

Shock and Vibration

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“…In this case, an inverse solution tool becomes highly desirable. There have been various inverse solution tools suitable for parameter identification as reviewed by Avril et al (2008), for instance, finite element model updating (FEMU) (Farhat and Hemez, 1993;Güner et al, 2012;Roux and Bouchard, 2015;Zhang et al, 2014) and the virtual fields method (VFM) (Chalal et al, 2006;Grédiac and Pierron, 2006;Notta-Cuvier et al, 2013;Pierron and Grediac, 2012;Pierron et al, 2010b). These methods take advantage of the full-field deformation measurement techniques such as digital image correlation (DIC) (Sutton et al, 2009), the grid method (Grédiac et al, 2016), moiré and speckle interferometry (Creath, 1985;Post and Baracat, 1981), from which more comprehensive information of material behavior can be extracted from a greater number of measurement points on the specimen surface.…”

Section: Introductionmentioning

confidence: 99%

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

Barlat

Kim

et al. 2016

International Journal of Solids and Structures

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In this work, the nonlinear kinematic hardening combined with Voce isotropic hardening was selected to characterize the material behavior of advanced high strength steel sheet samples subjected to a few reverse loading cycles. Multi-components of backstress were considered for the combined nonlinear kinematical hardening model, namely, one, two, and three backstress components. To calibrate the model, an inverse problem solution tool, so-called virtual fields method, which takes full advantage of full-field deformation measurement, was applied to identify the material constitutive parameters. First, finite element simulations of forward-reverse simple shear were performed to validate the proposed identification method. The influence of strain noise on the identification accuracy was also evaluated. Then, the proposed method was applied to three kinds of sheet metals (DP600, TRIP780 and TWIP980) tested under two cycles of forward-reverse simple shear for parameter identification. The identification results obtained with different number of backstress components were critically discussed.

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“…The "indirect or parametric methods" update models from changes of physical parameters of the model. Three categories of cost functions can be used : the input residuals [10,11], the output residuals [12,13] and the residual named the "Constitutive Relation Error (CRE)" which is used in this paper. It provides a measure of quality of the updated model which is essential for model validation [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Robust damage assessment of multiple cracks based on the frequency response function and the Constitutive Relation Error updating method

Faverjon

Sinou

2008

Journal of Sound and Vibration

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To cite this version:Béatrice Faverjon, Jean-Jacques Sinou. Robust damage assessment of multiple cracks based on the frequency response function and the Constitutive Relation Error updating method. Journal of Sound and Vibration, Elsevier, 2008, 312, pp.821-837 AbstractThe aim of this paper is to present a damage assessment technique for the non destructive detection and sizing of multiple open cracks in beams. The Constitutive Relation Error updating method is used for the identification of the location and the size of multi-cracks in a simply supported beam. The present identification method is illustrated through numerical examples including double and triples cracks. Moreover, the efficiency and robustness of the proposed method is demonstrated through various numerical simulations in regard to the non-dimensional crack depth and the crack location. It is demonstrated that the Constitutive Relation Error updating method can detect the number of cracks on the beam and can estimate both the crack positions and sizes with satisfactory precision, even if 10% or 20% noise levels has been added to the simulations, and only few degrees of freedom are used for the identification procedure.

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Updating finite element dynamic models using an element-by-element sensitivity methodology

Cited by 240 publications

References 15 publications

An Updating Method for Structural Dynamics Models with Uncertainties

An Updating Method for Structural Dynamics Models with Uncertainties

Identification of nonlinear kinematic hardening constitutive model parameters using the virtual fields method for advanced high strength steels

Robust damage assessment of multiple cracks based on the frequency response function and the Constitutive Relation Error updating method

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