A method for characterisation of the static elastic properties of the porous frame of orthotropic open-cell foams

Kelen, Christophe Van der; Cuenca, Jacques; Göransson, Peter

doi:10.1016/j.ijengsci.2014.10.005

Cited by 7 publications

(5 citation statements)

References 16 publications

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“…We agree that the difference in resulting Young's modulus of the nylon wire (Ywire, piezo-needle= ( (1), 105-111(1999)…”

Section: Responsesupporting

confidence: 74%

“…In view of requirements concerning shock absorption, vibration control, noise control, sound insulation, and thermal insulation, there is a great need for understanding and accordingly tuning the viscoelastic behavior of the used materials. Globally, visco-elastic characterization of porous material has shown a renewed interest since a few years [1] [2][3] [4]. In the process of product development and improvement, characterization of the viscoelastic properties of these materials plays a crucial role.…”

Section: Introductionmentioning

confidence: 99%

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Elastic characterization of polymer fibers by laser Doppler vibrometry

Labelle

Roozen

Vandenbroeck

et al. 2017

Optics and Lasers in Engineering

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“…We agree that the difference in resulting Young's modulus of the nylon wire (Ywire, piezo-needle= ( (1), 105-111(1999)…”

Section: Responsesupporting

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Elastic characterization of polymer fibers by laser Doppler vibrometry

Labelle

Roozen

Vandenbroeck

et al. 2017

Optics and Lasers in Engineering

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“…1). In a more general case, note that suitable methods can be found in 9,11,12 . Even if elastic parameters are not required by the TI equivalent model, these will be useful later (in Sec.…”

Section: A Materials Characterizationmentioning

confidence: 99%

“…tic and acoustical parameters [7][8][9][10][11][12] either by direct or by inverse methods. Acoustic parameters can also be estimated via a micro-macro approach when a representative elementary volume is known by imaging technique [13][14][15] .…”

Section: Introductionmentioning

confidence: 99%

A transverse isotropic equivalent fluid model combining both limp and rigid frame behaviors for fibrous materials

Nennig

Binois

Dauchez

et al. 2018

The Journal of the Acoustical Society of America

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Due to the manufacturing process, some fibrous materials like glasswool may be transversely isotropic (TI): fibers are mostly parallel to a plane of isotropy within which material properties are identical in all directions whereas properties are different along the transverse direction. The behavior of TI fibrous material is well described by the TI Biot's model, but it requires one to measure several mechanical parameters and to solve the TI Biot's equations. This paper presents an equivalent fluid model that can be suitable for TI materials under certain assumptions. It takes the form of a classical wave equation for the pressure involving an effective density tensor combining both limp and rigid frame behaviors of the material. This scalar wave equation is easily amenable to analytical and numerical treatments with a finite element method. Numerical results, based on the proposed model, are compared with experimental results obtained for two configurations with a fibrous material. The first concerns the absorption of an incident plane wave impinging on a fibrous slab and the second corresponds to the transmission loss of a splitter-type silencer in a duct. Both configurations highlight the effect of the sample orientation and give an illustration of the unusual TI behavior for fluids.

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“…This provides the possibility to conduct extensive numerical experiments with controlled characteristics, such as frequency resolution, dissipative losses, nature of coupling, etc. The model problem chosen for the current work is selected based on the authors' previous experiences from estimation in resonant systems involving soft materials, and the difficulties associated with local minima [5,25,26]. In the latter works, parameter estimation has required manual guidance to a certain extent in order for the cost function to converge.…”

Section: Introductionmentioning

confidence: 99%

Parameter estimation in modelling frequency response of coupled systems using a stepwise approach

Göransson

Cuenca

Lähivaara

2019

Mechanical Systems and Signal Processing

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This paper studies the problem of parameter estimation in resonant, acoustic fluid-structure interaction problems over a wide frequency range. Problems with multiple resonances are known to be subjected to local minima, which represents a major challenge in the field of parameter identification. We propose a stepwise approach consisting in subdividing the frequency spectrum such that the solution to a low-frequency subproblem serves as the starting point for the immediately higher frequency range. In the current work, two different inversion frameworks are used. The first approach is a gradient-based deterministic procedure that seeks the model parameters by minimising a cost function in the least squares sense and the second approach is a Bayesian inversion framework. The latter provides a potential way to assess the validity of the least squares estimate. In addition, it presents several advantages by providing invaluable information on the uncertainty and correlation between the estimated parameters. The methodology is illustrated on synthetic measurements with known design variables and controlled noise levels. The model problem is deliberately kept simple to allow for extensive numerical experiments to be conducted in order to investigate the nature of the local minima in full spectrum analyses and to assess the potential of the proposed method to overcome these. Numerical experiments suggest that the proposed methods may present an efficient approach to find material parameters and their uncertainty estimates with acceptable accuracy. arXiv:1808.04985v1 [physics.comp-ph]

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A method for characterisation of the static elastic properties of the porous frame of orthotropic open-cell foams

Cited by 7 publications

References 16 publications

Elastic characterization of polymer fibers by laser Doppler vibrometry

Elastic characterization of polymer fibers by laser Doppler vibrometry

A transverse isotropic equivalent fluid model combining both limp and rigid frame behaviors for fibrous materials

Parameter estimation in modelling frequency response of coupled systems using a stepwise approach

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