Material Parameter Identification in Transient Dynamics by Error in Constitutive Equation Approach

Guchhait, Shyamal; Banerjee, Biswanath

doi:10.1016/j.proeng.2016.05.035

Cited by 2 publications

(2 citation statements)

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“…According to the formulation expressed in equations ( 11) and (21), the searched parameter corresponds to the minimum. In this particular problem, the parameter to be identified is unique, k. Each point in the curve from Figure 3 is obtained from the solution of the linear system (26). However, only at the minimum point, we have a pair of admissible vectors U and V in which the interface stiffness parameter respects the constitutive equation as best as possible.…”

Section: Applicationsmentioning

confidence: 99%

“…On its augmented version, the Modified Constitutive Relation Error (MCRE) is characterized by the adding a regularization term to the performance function. This new form broadens the possibilities of including the available information instead of making new assumptions [26,27]. The CRE technique can also be adapted to modern experimental devices.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study based on the Constitutive Relation Error for identifying semi-rigid joint parameters between planar structural elements

Oliveira

Louf²,

Gatuingt³

2021

Engineering Structures

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Over the past few decades, the Constitutive Relation Error (CRE) theory has proven to be a valuable numerical technique for model identification in engineering systems. Under certain conditions, this technique allows predicting the global state of connections starting from an observed structural vibratory response. These conditions often assume deterministic knowledge about input parameters and mechanical modelling. As with most inverse problems, the inherent uncertainties in the system can drastically affect the parameters of interest, posing an additional difficulty in the identification process. The present study proposes a simple and direct way to include and evaluate the effect of uncertainties in the CRE-based process of identifying parameters of semi-rigid structural connections. The numerical investigations are carried out in two parts. The first, from an exclusively deterministic perspective, shows the main characteristics of the method such as the possibility of using partial data and the inclusion of flexible support conditions. The second part explores the limits of the suggested formulation in a non-deterministic context considering both measurement noise and material uncertainty. The results show that the presented CRE formulation can identify the parameters properly in various situations. However, high noise levels in the reference measures may deteriorate identification process.

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Section: Applicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%