Computation of leaky guided waves dispersion spectrum using vibroacoustic analyses and the Matrix Pencil Method: a...

Area of Science:

• * Computational mechanics
• * Acoustics and vibration analysis
• * Waveguide dispersion analysis

Background:

• * Accurate extraction of dispersion data is crucial for understanding wave propagation in immersed waveguides.
• * Existing numerical methods may have limitations in handling complex geometries and fluid-structure interactions.

Purpose of the Study:

• * To validate a novel Semi-Analytical Finite Element (SAFE) formulation coupled with a 2.5D Boundary Element Method (2.5D BEM).
• * To extract real wavenumber and attenuation dispersion data for immersed waveguides with generic cross-sections.
• * To compare the results of the proposed SAFE-2.5D BEM approach with established Finite Element software.

Main Methods:

• * Three-dimensional vibroacoustic analyses performed using Abaqus/Explicit Finite Element software.
• * Application of the Semi-Analytical Finite Element (SAFE) method.
• * Coupling with the 2.5D Boundary Element Method (2.5D BEM).
• * Extraction of dispersion data using a modified Matrix Pencil Method.

Main Results:

• * Successful extraction of real wavenumber and attenuation dispersion data.
• * Demonstrated very good agreement between the SAFE-2.5D BEM results and those from Abaqus/Explicit.
• * Validation of the proposed numerical technique for immersed waveguides of square and rectangular cross-sections.

Conclusions:

• * The coupled SAFE-2.5D BEM formulation is a reliable and accurate method for dispersion analysis in immersed waveguides.
• * The validated technique offers a powerful tool for predicting wave behavior in complex vibroacoustic systems.
• * The findings support the use of this combined approach for future research in underwater acoustics and structural dynamics.