A reduced formulation for the free-wave propagation analysis in composite structures

Droz, Christophe; Lainé, Jean-Pierre; Ichchou, Mohamed; Inquiété, Guillaume

doi:10.1016/j.compstruct.2014.03.017

Cited by 57 publications

(37 citation statements)

References 22 publications

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“…Other techniques can be used to condense the inner nodes, as a Craig-Bampton (CB) dynamic condensation method. This is strongly suggested for complex cross-sectional shapes [17,18,19].…”

Section: The Wave Finite Element Methods (Wfem)mentioning

confidence: 86%

“…The positive and negative going eigenvectors φ − j and φ + j are associated to the above eigenvalues. These eigenvectors are referred to as wavemodes, which are the displacement and force distributions in the substructure section [18,21,23]. Every wavemode can be partitioned into a sub-vector of DoFs, Φ +,− q , and internal forces/moments, Φ +,− f .…”

Section: The Wave Finite Element Methods (Wfem)mentioning

confidence: 99%

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The modelling of the flow-induced vibrations of periodic flat and axial-symmetric structures with a wave-based method

Errico

Ichchou

Rosa³

et al. 2018

Journal of Sound and Vibration

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The stochastic response of periodic flat and axial-symmetric structures, subjected to random and spatially-correlated loads, is here analysed through an approach based on the combination of a wave finite element and a transfer matrix method. Although giving a lower computational cost, the present approach keeps the same accuracy of classic finite element methods. When dealing with homogeneous structures, the accuracy is also extended to higher frequencies, without increasing the time of calculation. Depending on the complexity of the structure and the frequency range, the computational cost can be reduced more than two orders of magnitude. The presented methodology is validated both for simple and complex structural shapes, under deterministic and random loads.

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“…Other techniques can be used to condense the inner nodes, as a Craig-Bampton (CB) dynamic condensation method. This is strongly suggested for complex cross-sectional shapes [17,18,19].…”

Section: The Wave Finite Element Methods (Wfem)mentioning

confidence: 86%

Section: The Wave Finite Element Methods (Wfem)mentioning

confidence: 99%

The modelling of the flow-induced vibrations of periodic flat and axial-symmetric structures with a wave-based method

Errico

Ichchou

Rosa³

et al. 2018

Journal of Sound and Vibration

View full text Add to dashboard Cite

show abstract

“…The use of modal reduction is highly suggested for fine meshes. In these cases, the internal degrees of freedom, are substituted by the modal participation factors to achieve a significant reduction of the number of inner DOFs [44]. The displacement vector q defined in Eq.…”

Section: Modal Order Reduction At Cell Scalementioning

confidence: 99%

Simulating the sound transmission loss of complex curved panels with attached noise control materials using periodic cell wavemodes

et al. 2019

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The sound transmission loss of complex curved aircraft panels under diffuse acoustic field excitation is experimentally and numerically studied. Two different aircraft sidewall panels are considered: a thick composite sandwich panel and a thin aluminium panel with stiffening elements (stringers and frames). Both bare configuration and with attached soundproofing material are tested in laboratory conditions in coupled rooms. The numerical approach relies on a wave finite element method including modal order reduction at cell scale and an extension based on the transfer matrix method, for the inclusion of poroelastic treatments. The results obtained show that the proposed numerical scheme is efficient for predicting the sound transmission loss of such complex structures.

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“…This method was extensively employed for defining reflection coefficients[] in order to localize and evaluate cracks in pipelines. [] The DMM is used to identify, among the different propagating wave types,[] the waves that exhibit the highest sensitivity towards structural perturbation, such as reduced mass or stiffness induced by imperfection, defect, or erosion. Due to the increasing requirement for more accurate inspection procedures, a number of investigations were conducted lately on the use of higher orders of Lamb wave modes to provide additional information on the type and location of defects.…”

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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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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A reduced formulation for the free-wave propagation analysis in composite structures

Cited by 57 publications

References 22 publications

The modelling of the flow-induced vibrations of periodic flat and axial-symmetric structures with a wave-based method

The modelling of the flow-induced vibrations of periodic flat and axial-symmetric structures with a wave-based method

Simulating the sound transmission loss of complex curved panels with attached noise control materials using periodic cell wavemodes

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

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