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Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
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A rheological model for immersed corrugated elastic plates
D Meier1, H Franklin1, M V Predoi2
1Laboratoire Ondes et Milieux Complexes, UMR 6294, Université du Havre, 75 rue Bellot, CS 80 540, 76058 Le Havre, France.
Ultrasonics
|December 13, 2016
Summary
This study introduces a rheological model to understand how surface imperfections affect guided waves in elastic plates. The model accurately predicts wave behavior, showing surface roughness significantly alters wave transmission characteristics.
Area of Science:
- Acoustics
- Materials Science
- Solid Mechanics
Background:
- Surface imperfections on elastic plates can alter guided wave propagation.
- Understanding these effects is crucial for applications like non-destructive testing.
Purpose of the Study:
- To develop and validate a rheological model for analyzing guided waves in immersed elastic plates with corrugated surfaces.
- To investigate the influence of surface imperfections on wave propagation characteristics.
Main Methods:
- A rheological model, specifically a Jones spring model, was employed to represent the corrugated interface.
- The model's complex stiffness was determined by fitting analytical solutions to finite element method (FEM) results.
- Angular resonances from transmission coefficients were used to validate the rheological and FEM approaches.
Main Results:
- The rheological model accurately predicts the influence of surface imperfections on guided waves.
- Small changes in roughness parameters minimally affected resonance positions but significantly altered transmission coefficient bandwidth.
- The model demonstrates the impact of corrugation parameters on guided modes.
Conclusions:
- The developed rheological model provides an effective tool for predicting guided wave behavior in imperfectly surfaced elastic plates.
- Surface corrugations introduce significant changes in wave transmission, highlighting the importance of surface integrity in wave propagation analysis.
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