A robust CRE-based approach for model updating using in situ measurements

Charbonnel, P. í.; Louf, François; Noac'h, Ch. Le

doi:10.1016/j.compstruc.2013.08.002

Cited by 20 publications

(32 citation statements)

References 47 publications

(47 reference statements)

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“…For instance, if experimental modal analysis is conducted, the mode shape vectors of a structure may be considered less reliable quantities than its natural frequencies, especially if only a limited number of measurement points are available on the structure. Common groups of reliable and less reliable equations and quantities are listed in Table …”

Section: Methodsmentioning

confidence: 99%

“…Common groups of reliable and less reliable equations and quantities are listed in Table 1. 37,38 In the remainder of this section, we will begin by considering a generalized example of an ECRE approach as it is used to localize error in numerical models (see Section 2.1). In subsequent Sections 2.2 and 2.3, we discuss how the ECRE approach to error localization can be implemented to allow for the detection of structural damage.…”

Section: Methodsmentioning

confidence: 99%

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Extended constitutive relation error‐based approach: The role of mass in damage detection

Chodora

Prabhu³

et al. 2019

Struct Control Health Monit

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Summary This paper presents an extended constitutive relation error (ECRE)‐based method for detecting damage in structural systems. Although most ECRE‐based methods for damage detection have relied on an iterative model calibration process, the approach advocated in this study uses residual energy to identify structural damage. Residual energy represents the spatial distribution of discrepancies between model predictions of the undamaged system and experimental measurements obtained from the damaged system. The current study calculates this residual energy by tightly linking experimentally measured vibration data to an associated numerical model. The approach implemented in this paper, referred to as the M‐K ECRE‐based approach, differs from previous ECRE‐based damage detection methods in that it incorporates both unbalanced elastic and unbalanced inertial forces in the calculation of residual energy. The rationale for including unbalanced inertial forces is that damage can also alter the mass distribution of a structure in addition to its influence on the distribution of structural stiffness. By considering unbalanced inertial forces, the proposed approach improves the calculation of residual energy, which in turn leads to an improvement in the method's ability to identify damage. At the end of this study, the efficiency of the M‐K ECRE‐based approach to identify damage is demonstrated on a scaled two‐story steel frame that is subjected to varying types and severities of structural damage.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Extended constitutive relation error‐based approach: The role of mass in damage detection

Chodora

Prabhu³

et al. 2019

Struct Control Health Monit

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“…For instance, Haralampidis et al [34] and Christodoulou and Papadimitriou [35] define separate eigenfrequency and mode shape residuals, Jaishi and Ren [30] use the approach to incorporate both eigenfrequency and strain energy residuals, and Schlune et al [36] combine static and dynamic measurements in multiple objectives. A different approach to the modal updating problem in structural dynamics was developed by Ladevèze and his co-workers [17][18][19][20]. Here, the cost function is not defined in terms of residuals in modal data such as eigenfrequencies and mode shapes but contains an energy-based indicator, termed the Constitutive Relation Error (CRE).…”

Section: Cost Functionmentioning

confidence: 99%

“…In order to quantify and account for these uncertainties, a number of different approaches may be applied; the above expression (20) serves as a starting point for all uncertainty quantification approaches for model updating.…”

Section: Combining Measurement and Model Uncertaintymentioning

confidence: 99%

Dealing with uncertainty in model updating for damage assessment: A review

Simoen

Roeck

Lombaert

2015

Mechanical Systems and Signal Processing

367

217

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In structural engineering, model updating is often used for non-destructive damage assessment: by calibrating stiffness parameters of finite element models based on experimentally obtained (modal) data, structural damage can be identified, quantified and located. However, the model updating problem is an inverse problem prone to ill-posedness and ill-conditioning. This means the problem is extremely sensitive to small errors, which may potentially detract from the method's robustness and reliability. As many errors or uncertainties are present in model updating, both regarding the measurements as well as the employed numerical model, it is important to take these uncertainties suitably into account. This paper aims to provide an overview of the available approaches to this end, where two methods are treated in detail: a non-probabilistic fuzzy approach and a probabilistic Bayesian approach. These methods are both elaborated for the specific case of vibration-based finite element model updating for damage assessment purposes.

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“…Then, by utilizing the CRE estimation, strict bounds of quantities of interest are acquired. So far, CRE-based goal-oriented error estimation featuring strict bounds of quantities has been extensively exploited in analysis of various problems (Panetier et al, 2009;Chamoin and Ladevèze, 2008;Waeytens et al, 2012;Chamoin et al, 2012;Ladevèze et al, 2012Ladevèze et al, , 2013Charbonnel et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Strict upper and lower bounds of quantities for beams on elastic foundation by dual analysis

Wang

Guo

Zhong

2015

Engineering Computations

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2015),"Consistent crystal plasticity kinematics and linearization for the implicit finite element method", Engineering Computations, Vol. 32 Iss 6 pp. 1526-1548 http://dx.If you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services.Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation. AbstractPurpose -The purpose of this paper is to acquire strict upper and lower bounds on quantities of slender beams on Winkler foundation in finite element analysis. Design/methodology/approach -It leans on the dual analysis wherein the constitutive relation error (CRE) is used to perform goal-oriented error estimation. Due to the coupling of the displacement field and the stress field in the equilibrium equations of the beam, the prolongation condition for the stress field which is the key ingredient of CRE estimation is not directly applicable. To circumvent this difficulty, an approximate problem and the solution thereof are introduced, enabling the CRE estimation to proceed. It is shown that the strict bounding property for CRE estimation is preserved and strict bounds of quantities of the beam are obtainable thereafter. Findings -Numerical examples are presented to validate the strict upper and lower bounds for quantities of beams on elastic foundation by dual analysis. Research limitations/implications -This paper deals with one-dimensional (1D) beams on Winkler foundation. Nevertheless, the present work can be naturally extended to analysis of shells and 2D and 3D reaction-diffusion problems for future research. Originality/value -CRE estimation is extended to analysis of beams on elastic foundation by a decoupling strategy; strict upper bounds of global energy norm error for beams on elastic foundation are obtained; strict bounds of quantities for beams on elastic foundation are also obtained; unified representation and corresponding dual analysis of various quantities of the beam are presented; rigorous derivation of admissible stresses for beams is given.

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A robust CRE-based approach for model updating using in situ measurements

Cited by 20 publications

References 47 publications

Extended constitutive relation error‐based approach: The role of mass in damage detection

Extended constitutive relation error‐based approach: The role of mass in damage detection

Dealing with uncertainty in model updating for damage assessment: A review

Strict upper and lower bounds of quantities for beams on elastic foundation by dual analysis

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