A hybrid wave-mode formulation for the vibro-acoustic analysis of 2D periodic structures
Abstract
In the framework of vibrational analysis of 2D periodic waveguides, Floquet-Bloch theorem is widely applied for the determination of wave dispersion characteristics. In this context, the Wave Finite Element Method (WFEM) combines Periodic Structure Theory (PST) with standard FE packages, enabling wave dispersion analysis of waveguides involving structurally realistic unit-cells. For such applications, the computational efficiency of the WFEM, depends on the choice of the formulation and can lead to numerical issues, worsened by extensive computational cost. This paper presents a coupled wave-mode approach for the determination of wave dispersion characteristics in structurally advanced periodic structures. It combines two scales of model order reduction. At the unit-cell's scale, Component Mode Synthesis (CMS) provides the displacement field associated with local resonances of the periodic structure, while the free wave propagation is considered using a spectral problem projection on a reduced set of shape functions associated with propagating waves, thus providing considerable reduction of the computational cost. An application is provided for a bi-directionally stiffened panel and the influence of reduction parameters is discussed, as well as the robustness of the numerical results.
Related
- Vibro-acoustic optimisation of sandwich panels using the wave/finite element method
- A multimodal adjoint-state formulation of Quantitative Photoacoustic Tomography with external acoustic sources
- A reduced formulation for the free-wave propagation analysis in composite structures
- Physics-constrained neural networks for surrogate modeling of lossless periodic structures
- Herschel-Quincke filter-inspired periodic structures for suppression of dilation and torsional waves in elastic rods and shafts
BibTeX
@article{droz2026hybrid,
title = {{A hybrid wave-mode formulation for the vibro-acoustic analysis of 2D periodic structures}},
author = {C. Droz and C. Zhou and M.N. N Ichchou and J.-P. Lainé},
journal = {Journal of Sound and Vibration},
year = {2026},
month = oct,
doi = {10.1016/j.jsv.2015.11.003},
eprint = {2610.26386},
archivePrefix = {arXiv},
url = {https://hal.science/hal-03372965v2},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - A hybrid wave-mode formulation for the vibro-acoustic analysis of 2D periodic structures
AU - C. Droz
AU - C. Zhou
AU - M.N. N Ichchou
AU - J.-P. Lainé
PY - 2026
DA - 2026/10/19
JO - Journal of Sound and Vibration
DO - 10.1016/j.jsv.2015.11.003
UR - https://hal.science/hal-03372965v2
AB - In the framework of vibrational analysis of 2D periodic waveguides, Floquet-Bloch theorem is widely applied for the determination of wave dispersion characteristics. In this context, the Wave Finite Element Method (WFEM) combines Periodic Structure Theory (PST) with standard FE packages, enabling wave dispersion analysis of waveguides involving structurally realistic unit-cells. For such applications, the computational efficiency of the WFEM, depends on the choice of the formulation and can lead to numerical issues, worsened by extensive computational cost. This paper presents a coupled wave-mode approach for the determination of wave dispersion characteristics in structurally advanced periodic structures. It combines two scales of model order reduction. At the unit-cell's scale, Component Mode Synthesis (CMS) provides the displacement field associated with local resonances of the periodic structure, while the free wave propagation is considered using a spectral problem projection on a reduced set of shape functions associated with propagating waves, thus providing considerable reduction of the computational cost. An application is provided for a bi-directionally stiffened panel and the influence of reduction parameters is discussed, as well as the robustness of the numerical results.
SN - 0022-460X
SN - 1095-8568
ER -