A hybrid wave-mode formulation for the vibro-acoustic analysis of 2D periodic structures

Droz, Christophe; Zhou, Changwei; Ichchou, Mohamed; Lainé, Jean-Pierre

doi:10.1016/j.jsv.2015.11.003

Cited by 45 publications

(33 citation statements)

References 33 publications

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“…At each frequency step, the solution is compared to the whole set of propagating waves using a Wave Assurance Criterion. [22] A unique wave can be defined at two consecutive frequencies when the orthogonality condition between two cross-sectional deformed shapes Ψ( i ) and Ψ( j ) is above a threshold ∈ [0, 1]. The real wave numbers and group velocities of propagating waves are shown in Figure 3a.…”

Section: Guided Csw In the Sandwich Platementioning

confidence: 99%

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Wave-based SHM of sandwich structures using cross-sectional waves

Droz

Bareille

Lainé

et al. 2017

Struct Control Health Monit

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Summary The identification of structural damage in composite waveguides is a critical issue in aerospace and transportation industries. Frequently, these structures involve periodic patterns or dissipative components that considerably reduce the range, robustness, and available bandwidth of ultrasonic structural health monitoring techniques. On the other hand, wave‐based methods provide more accurate information on a defect's type, size, and location than modal analysis techniques. This paper focuses on a low‐frequency wave‐based method for structural integrity assessment of complex waveguides. The wave finite element method is employed to compute the dispersion curves of non‐standard cross‐sectional waves exhibiting increased strain energy. The spectral results are used to analyse the diffusion of guided elastic waves through representative localized defects in a laminated sandwich panel. To validate the diffusion model, reflection and transmission coefficients are determined for several wave pulses on typical defects using time‐domain virtual experiments and cross‐sectional energy acquisition. Results demonstrate that using cross‐sectional waves provides a sensitivity to damage up to 2.8× higher than flexural waves in the low‐frequency range. These results are explained by the presence of local resonances within the cross section, producing wavelengths in the transverse direction of propagation. These waves may prove suitable for cost‐effective structural health monitoring applications because they can travel long distances through heterogeneous and periodic structures.

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Section: Guided Csw In the Sandwich Platementioning

confidence: 99%

“…The development of reduced wave finite element formulations also enabled fast dispersion analysis of homogeneous[] and periodic[] waveguides. These tools were able to observe a variety of waves in structures involving complex cross‐sectional geometries.…”

Section: Introductionmentioning

confidence: 99%

Wave-based SHM of sandwich structures using cross-sectional waves

Droz

Bareille

Lainé

et al. 2017

Struct Control Health Monit

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“…Also, as Manconi et al [27] did concerning cylindrical pressure vessels, research might focus on the adaptation of the method on more complex geometries. Another promising aspect of WFEM is the research of the possible effect of pre-stress on band-gaps , since the method has already been used in [23] and [31] on stiffened plates and beams. Wave dispersion graph of periodically pressured beam has been generated (see Fig.23), with the stress exceeding known materials' limits, though, without any useful conclusions yet.…”

Section: Future Workmentioning

confidence: 99%

“…Domadiya et al [23] used WFEM to model two different periodic beams to examine the band gaps and had the results certified with actual experiments. Droz et al [31] proposed a mathematically improved version of the WFEM and calculated the wave propagation and band gaps in a periodically stiffened plate.…”

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confidence: 99%

Acoustic transmission properties of pressurised and pre-stressed composite structures

Ampatzidis

Chronopoulos

2016

Composite Structures

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This work was focused on the examination of the effect of the pre-stress, namely tension and pressure, on the wave propagation and acoustic behaviour of composite laminates. The dispersion characteristics of two dimensional layered and sandwich structures were predicted using Wave Finite Element Method (WFEM). The structures were examined in non-stressed and pre-stressed scenarios. After extracting the mass and stiffness matrix of a small periodic segment of the structure using commercially available Finite Elements software, a polynomial eigenvalue problem was formed, the solutions of which consisted of the propagation constants of the waves of the structure. This way the wavenumbers and eigenvectors of the out of plane structural displacements were extracted. These wave propagation magnitudes were then used to calculate important Statistical Energy Analysis (SEA) quantities, such as modal density and radiation efficiency. The effect of pre-stress on these quantities, along with its effect on loss factor of the structure were examined.

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“…These composite structures considered as an infinite assembly of identical elements called unit cells. The wide application of these periodic structures have attracted a lot of research for more than a decade [2,3,4,5,6]. 3D woven composites in particular are getting more and more interest over 2D laminates as they provide higher resistance in out-of-plane loading while 2D laminates are easily subjected to delamination.…”

Section: Introductionmentioning

confidence: 99%