Updating of finite element models using vibration tests

Ladevèze, Pierre; Nedjar, D.; Reynier, M.A. Mouret

doi:10.2514/3.12219

Cited by 84 publications

(61 citation statements)

References 5 publications

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“…Its concept consists in using an a posteriori estimator and its efficiency has previously been shown [14][15][16][17]. The method is based on the Drucker error.…”

Section: The Constitutive Relation Error Methodsmentioning

confidence: 99%

“…Equation 15 particularised for the case of the beam uses stress and damping matricesK andĈ instead of K and C. Moreover, vector X 0 in Equation 32 will be either V (stress and damping terms) or W (mass term) of Equation 15. Secondly, the calculation of the depth for the ith crack may be obtained by the minimization of the crack depth error e 2 µ (with respect to the non-dimensional crack depth µ)…”

Section: Model Of the Multi-cracks Beammentioning

confidence: 99%

“…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%

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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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“…Its concept consists in using an a posteriori estimator and its efficiency has previously been shown [14][15][16][17]. The method is based on the Drucker error.…”

Section: The Constitutive Relation Error Methodsmentioning

confidence: 99%

Section: Model Of the Multi-cracks Beammentioning

confidence: 99%

See 1 more Smart Citation

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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“…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. This approach, which uses the concept of Drucker error, provides an effective means of updating mass and stiffness matrices [9,10]. The first developments of this method [8] showed the effectiveness of such a model in structural dynamics, then in forced vibrations with updated models obtained from eigenmodes.…”

Section: Introductionmentioning

confidence: 99%

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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“…Among them, updating techniques based upon the constitutive equation error [3,4] have been used in the analysis of vibrations [5], the identification of defects [6] or elastic and/or damage fields [7], the study of heterogeneous tests (e.g., Brazilian test [8]), or damage under dynamic loading condition [9]. An alternative to the previous approach is, for instance, the so-called virtual field method that has been used in a variety of situations mainly dealing with anisotropic and homogeneous properties of composite materials [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

A stress scale in full-field identification procedures: a diffuse stress gauge

Roux¹,

Hild²,

Pagano³

2005

European Journal of Mechanics - A/Solids

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Identification techniques solely based on displacement field measurements lack a stress scale and thus require a complementary information to be provided to complete the problem definition. Such a complementary test is proposed in this study, which is itself an identification designed for an unbounded two dimensional domain subjected to a normal point force on its boundary. A complex potential formulation is used to obtain a simple closed-form solution for the Poisson's ratio and Lamé's shear modulus. In order to evaluate the performance and robustness of this identification technique, the sensitivity to noise and error in grid positioning is investigated numerically. Preprint submitted to Elsevier Science 9 February 2005Submitted for publication to the European Journal of Mechanics A/Solids

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Updating of finite element models using vibration tests

Cited by 84 publications

References 5 publications

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

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

An Updating Method for Structural Dynamics Models with Uncertainties

A stress scale in full-field identification procedures: a diffuse stress gauge

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