A surrogate-model-based identification of fractional viscoelastic constitutive parameters

Zhang, Guoqing; Yang, Haitian; Xu, Yongsheng

doi:10.1007/s11043-014-9245-5

Cited by 9 publications

(4 citation statements)

References 34 publications

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“…Details for constructing a Kriging model can be found in many existing literatures. 12,13,15,16,18,21 Here, we give a brief derivation of the fundamental surrogate model for crack identification in a plate.…”

Section: Construction Of Kriging Surrogate Modelmentioning

confidence: 99%

“…12 More recently, Kriging surrogate model has drawn much attention. [13][14][15][16][17] It provides a half-parameterized relationship between the inputs and outputs of a linear or nonlinear system with only a small number of samples. Furthermore, the sufficient flexibility of a Kriging model to dynamic model errors and measurement noise is indeed an appealing feature for vibrationbased crack identification.…”

Section: Introductionmentioning

confidence: 99%

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Experimental study of kriging-based crack identification in plate structure

Gao

Han

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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One of the major issues that existing crack identification methods utilizing dynamic responses are facing is the limitation of engineering feasibility. How to suppress the effect of measurement noise and improve the identification accuracy is still challenging. In this work, an effective method is proposed to identify the size of an arbitrary internal crack in plate structure based on a Kriging surrogate model, and a series of laboratory tests are designed to verify the practicability of this strategy. The initial Kriging surrogate model is constructed by samples of crack parameters (tip locations) and corresponding root mean square (RMS) of random responses as the inputs and outputs, respectively. To further improve the surrogate accuracy and reduce computational cost during the inverse problem, an optimal point-adding process for Kriging model updating is then carried out. Experimental results of crack identification in a cantilever plate indicate that the proposed method can be an alternative to conventional crack detection methods even in the presence of measurement noise and modeling errors.

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Section: Construction Of Kriging Surrogate Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental study of kriging-based crack identification in plate structure

Gao

Han

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…In fact, a quite interesting and desired feature of models based on fractional derivatives is its parsimony. Therefore, this type of models in general require a number of parameter that is less than the number required by viscoelastic constitutive models based on integer derivatives [23,24]. This parsimony characteristic appears under both linear [9] and nonlinear operational conditions [25].…”

Section: Constitutive Modelingmentioning

confidence: 99%

A general approach for viscoelastic model validation applied on the analyses of epoxy resin modified by end-functionalized liquid polybutadiene

Castello

Borges

Santos

et al. 2016

J Braz. Soc. Mech. Sci. Eng.

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“…An algorithm to solve inverse problems in linear elasticity is presented in [7], and an in inverse problem to estimate constitutive parameters in elastoplastic solids in presented in [8]. Full-field measurements techniques are presented in [9,10] to estimate elastic parameters in solids, and a model-based approach is used in [11] to estimate viscoelastic response constitutive parameters. A numerical technique based on finite elements method is presented in [12] to estimate material parameters from displacement and force measurements.…”

Section: Introductionmentioning

confidence: 99%

Sensing linear viscoelastic constitutive parameters with a Timoshenko beam on a multi-layer foundation: Modeling and simulation

Fattahi

Spinello

2015

Sensing and Bio-Sensing Research

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a b s t r a c tWe present a sensor model comprised of a Timoshenko beam coupled with a linear viscoelastic substrate via a distributed system of compliant elements. The system of governing equations includes the evolution of the kinematic descriptors of the Timoshenko beam and of the interface between the coupling elements and the viscoelastic substrate. This model is used to pose an inverse problem aimed at estimating the constitutive parameters of the substrate from deformation measurements of the beam. The sensing model is demonstrated by comparing its prediction with published experimentally obtained constitutive parameters identifying standard linear viscoelastic material models, showing good agreement between model estimations and experimental results.

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A surrogate-model-based identification of fractional viscoelastic constitutive parameters

Cited by 9 publications

References 34 publications

Experimental study of kriging-based crack identification in plate structure

Experimental study of kriging-based crack identification in plate structure

A general approach for viscoelastic model validation applied on the analyses of epoxy resin modified by end-functionalized liquid polybutadiene

Sensing linear viscoelastic constitutive parameters with a Timoshenko beam on a multi-layer foundation: Modeling and simulation

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