Estimation of plate material properties by means of a complex wavenumber fit using Hankel's functions and the image source method

Roozen, N.B.; Leclère, Quentin; Ege, Kerem; Gerges, Youssef

doi:10.1016/j.jsv.2016.11.037

Cited by 16 publications

(15 citation statements)

References 17 publications

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“…The fourth procedure to estimate the equivalent material properties of the multilayer plate is a wave correlation technique comprising an image source model that uses Hankel's functions, as described in [12]. The model describes the dynamics of an equivalent plate of finite dimensions with homogeneous material properties.…”

Section: Materials Parameter Fit By Means Of a Hankel's Functions Imagmentioning

confidence: 99%

“…In the present paper, a Bayesian regularization is used (see [12] for details). The source strengths (in amplitude and phase) of the image sources are thus estimated by projecting the measured complex response of the plate onto the image source model.…”

Section: Materials Parameter Fit By Means Of a Hankel's Functions Imagmentioning

confidence: 99%

“…[7,8]. Here we made the choice to compare four experimental approaches: traditional modal analysis [9], high-resolution modal analysis [10], CFAT methodology that uses a corrected finite differences scheme [11], and a wave correlation technique comprising an image source model that uses Hankel's functions [12].…”

Section: Introductionmentioning

confidence: 99%

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Assessment of the apparent bending stiffness and damping of multilayer plates; modelling and experiment

Ege¹,

Roozen²,

Leclère³

et al. 2018

Journal of Sound and Vibration

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In the context of aeronautics, automotive and construction applications, the design of light multilayer plates with optimized vibroacoustical damping and isolation performances remains a major industrial challenge and a hot topic of research. This paper focuses on the vibrational behavior of three-layered sandwich composite plates in a broad-band frequency range. Several aspects are studied through measurement techniques and analytical modelling of a steel/polymer/steel plate sandwich system. A contactless measurement of the velocity field of plates using a scanning laser vibrometer is performed, from which the equivalent single layer complex rigidity (apparent bending stiffness and apparent damping) in the mid/high frequency ranges is estimated. The results are combined with low/mid frequency estimations obtained with a high-resolution modal analysis method so that the frequency dependent equivalent Young's modulus and equivalent loss factor of the composite plate are identified for the whole [40 Hz-20 kHz] frequency band. The results are in very good agreement with an equivalent single layer analytical modelling based on wave propagation analysis (model of Guyader). The comparison with this model allows identifying the frequency dependent complex modulus of the polymer core layer through inverse Article published in Journal of Sound and Vibration resolution. Dynamical mechanical analysis measurements are also performed on the polymer layer alone and compared with the values obtained through the inverse method. Again, a good agreement between these two estimations over the broad-band frequency range demonstrates the validity of the approach.

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Section: Materials Parameter Fit By Means Of a Hankel's Functions Imagmentioning

confidence: 99%

Section: Materials Parameter Fit By Means Of a Hankel's Functions Imagmentioning

confidence: 99%

See 1 more Smart Citation

Assessment of the apparent bending stiffness and damping of multilayer plates; modelling and experiment

Ege¹,

Roozen²,

Leclère³

et al. 2018

Journal of Sound and Vibration

Self Cite

View full text Add to dashboard Cite

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“…The parameters of these functions usually contains key data for the identification of the structure. For example, Hankel functions are used with the Image Source Method (ISM) to characterize isotropic plates in the steady harmonic regime [26,27]. As the Green functions of anisotropic plates are not analytic anymore, plane waves are used to approximate the field measured on composite plates.…”

Section: Introductionmentioning

confidence: 99%

The High-Resolution Wavevector Analysis for the characterization of the dynamic response of composite plates

Margerit

Lebée

Caron

et al. 2019

Journal of Sound and Vibration

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The High Resolution Wavevector Analysis (HRWA) is presented and its application illustrated. Extending the High Resolution Wavenumber Analysis method [1] to 2D signals, it allows the wide-band and local characterization of the linear elastic behavior of anisotropic plates. The method belongs to the family of experimental wavenumber-based characterization methods and uses the high resolution signal processing algorithm ESPRIT (Estimation of Signal Parameters via Rotational Invariance Techniques) and the ESTER criterion (ESTimation of ERror) to overcome some of the limitation of Fourier-based methods. Three experimental applications on composite plate specimens are presented. First (i), from the out-of-plane velocity field of a sandwich plate with a foam core, different wave types (bending, shear and compression) are extracted. The results are compared with numerical predictions. Second (ii), individual layer contributions are separated on a honeycomb sandwich plate by means of the observation of the dependence of the extracted complex wavevectors as a function of wave propagation direction and frequency. Third (iii), a local wavenumber extraction is performed on a 4-layer carbon-epoxy plate made of fiber patches with spatially varying orientations. The local specific bending stiffness of the plate is identified from the extracted wavevectors and compared with theoretical results.

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“…The experimental characterization of sandwich structures, as well as the evaluation of suitable test methods and the investigation of sandwich-specific effects, are an interesting research topic. Roozen et al [12] experimentally measured the vibrational field of a sandwich panel used in vehicle industry and projected the data to an analytical image source model to obtain the Young's modulus of an "equivalent" Kirchhoff plate. Shahdin et al [13] studied the behavior of a sandwich material with carbon-fiber-network core.…”

Section: Introductionmentioning

confidence: 99%

Vibro-Acoustic Characterization of a Composite Structure Featuring an Innovative Phenolic Foam Core

2019

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Composite panels are being increasingly used in many applications because they can combine several interesting properties, such as high load-bearing capacity, low weight, and excellent thermal insulation. Different core materials can be used for composite sandwich panels, like polystyrene, mineral wool, polyurethane, glass wool, or rigid phenolic foam, which is considered the rigid plastic foam with the best fire-proof properties. During the research and development phase, the use of simulation tools is often required for the improvement of the mechanical behavior of the material. The aim of the paper is to characterize some vibro-acoustic parameters of a sandwich material with phenolic open-cell foam core. The sound transmission loss of the structure is calculated based on its flexural behavior, represented through a frequency-dependent “apparent” bending stiffness which is estimated by natural frequency vibration tests on beam specimens. The comparison between sound transmission loss predictions and measurements in sound transmission suites according to ISO 10140-2 is presented and discussed. Finally, the early-stage prediction potentiality of the mathematical model is investigated when only nominal information is available on the constituent layers, showing that particular attention should be paid to the modifications introduced by the manufacturing process.

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Estimation of plate material properties by means of a complex wavenumber fit using Hankel's functions and the image source method

Cited by 16 publications

References 17 publications

Assessment of the apparent bending stiffness and damping of multilayer plates; modelling and experiment

Assessment of the apparent bending stiffness and damping of multilayer plates; modelling and experiment

The High-Resolution Wavevector Analysis for the characterization of the dynamic response of composite plates

Vibro-Acoustic Characterization of a Composite Structure Featuring an Innovative Phenolic Foam Core

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