Identification of the flexural stiffness parameters of an orthotropic plate from the local dynamic equilibrium without a priori knowledge of the principal directions

Ablitzer, Frédéric; Pézerat, Charles; Lascoup, Bertrand; Brocail, Julien

doi:10.1016/j.jsv.2017.05.037

Cited by 19 publications

(10 citation statements)

References 14 publications

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“…This work details the extension of the CFAT [22] (Corrected Force Analysis Technique) method for source identification on laminated composite plates. The equation of motion of such structures is defined by 5 spatial derivatives under the thin plate theory and is estimated by FAT methodologies using a finite difference scheme [25]. The main novelty of this paper consists in using 5 correction factors to attenuate the bias error of this scheme.…”

Section: Discussionmentioning

confidence: 99%

“…The FAT method estimates the pressure field by approximating the partial derivatives of the equation of motion (1) with a finite difference scheme applied to the displacement field [25]:…”

Section: Classic Fat Theory For Anisotropic Platesmentioning

confidence: 99%

“…Note that for the particular case d y = d x , the finite difference scheme can be rotated by π/4, and scaled by a factor 1/ √ 2, with a resulting spatial step of the scheme equal to ∆ x = ∆ y = √ 2d x (the reader can refer to [25] for further details about this particular case). In the present work, the general case d y = d x is considered because it can be well adapted when dealing with anisotropic structures, that can exhibit strongly different natural wavenumbers on x and y axes (and more generally in any direction θ).…”

Section: Classic Fat Theory For Anisotropic Platesmentioning

confidence: 99%

“…Two regularisation techniques have been adopted to avoid this instability: a low-pass wavenumber filtering by FAT [19,20] and an adapted spacing of the scheme by CFAT [23]. FAT and CFAT have also been extended for material characterisation issues, for the cases of thin isotropic beams and plates (CFAT) [24], thin orthotropic structures (FAT) [25] and thick beams (FAT) [26].…”

Section: Introductionmentioning

confidence: 99%

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Development of the Corrected Force Analysis Technique for laminated composite panels

Marchetti¹,

Ege

Leclère

2021

Journal of Sound and Vibration

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The aim of this paper is to propose a methodology for identifying the pressure field applied on a laminated composite plate from its measured vibration response. The general framework of this study is the Corrected Force Analysis Technique (CFAT), which was previously used on isotropic plates. This method estimates the spatial derivatives of the equation of motion with a finite difference scheme and corrects the bias error generated by this approximation. The paper presents an extension of this technique to deal with laminated panels. In a first instance, the finite difference scheme has been expanded to allow the identification of the 5 spatial derivatives that compose the equation of motion of such structures. The correction, considered in the wavenumber domain, has also been adapted and is now calculated numerically. In a second instance, the effect of measurement noise has been treated with the implementation of a regularisation technique based on the adaptation of the size of the scheme as function of the frequency. Numerical simulations and contact-less measurements have been conducted on different carbon fibers composite plates. Results are presented in terms of identified pressure fields and input force magnitude.

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Section: Discussionmentioning

confidence: 99%

“…The FAT method estimates the pressure field by approximating the partial derivatives of the equation of motion (1) with a finite difference scheme applied to the displacement field [25]:…”

Section: Classic Fat Theory For Anisotropic Platesmentioning

confidence: 99%

Section: Classic Fat Theory For Anisotropic Platesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Development of the Corrected Force Analysis Technique for laminated composite panels

Marchetti¹,

Ege

Leclère

2021

Journal of Sound and Vibration

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show abstract

“…The bias error of this scheme is reduced with the CFAT (Corrected FAT) [10] approach by adding correction factors. The FAT and CFAT methods have been used to characterise isotropic [11,12] and orthotropic [13] plates modelling the measured structures as Love-Kirchhoff's thin plates. Another local approach is the VFM (Virtual Field Method) [14], which is based on the principle of virtual works.…”

Section: Introductionmentioning

confidence: 99%

Experimental methodology to assess the dynamic equivalent stiffness properties of elliptical orthotropic plates

Marchetti¹,

Roozen

Segers

et al. 2021

Journal of Sound and Vibration

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This paper deals with the dynamic characterisation of plate structures with elliptical orthotropic stiffness properties, using an equivalent thin plate theory using a wave fitting approach. The method consists in projecting the experimentally determined transverse displacement field of a plate on an analytical Green's function of an elliptical orthotropic plate based on Hankel's functions. The error between the projected and measured fields is then minimized, varying the characteristics of the function until an optimal fit is reached. The thus obtained characteristics are the two flexural rigidities defining the elliptical orthotropy of the plate, and the orthotropy angle. This fitting procedure is applied at each Preprint submitted to Elsevier 28 December 2020 frequency, enabling the determination of frequency dependent dynamic material properties. The method is applied to a honeycomb sandwich panel to validate the proposed fitting approach. The identified flexural rigidities are compared to the estimations obtained by means of an analytical model and the IWC (Inhomogeneous Wave Correlation) method assuming three different type of plate characteristics (anisotropic, orthotropic and elliptical orthotropic). For the elliptical orthotropic assumption, consistent results are observed between the methods and the model over a large frequency range (from 1 to 50 kHz).

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A novel numerical modeling method for studying the failure mechanism of the main roof with different thicknesses in longwall coal seam mining

Yang,

Yue,

et al. 2024

Comp. Part. Mech.

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Identification of the flexural stiffness parameters of an orthotropic plate from the local dynamic equilibrium without a priori knowledge of the principal directions

Cited by 19 publications

References 14 publications

Development of the Corrected Force Analysis Technique for laminated composite panels

Development of the Corrected Force Analysis Technique for laminated composite panels

Experimental methodology to assess the dynamic equivalent stiffness properties of elliptical orthotropic plates

A novel numerical modeling method for studying the failure mechanism of the main roof with different thicknesses in longwall coal seam mining

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