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Analyzing modal behavior of guided waves using high order eigenvalue derivatives
Fabian Krome1, Hauke Gravenkamp2
1Federal Institute for Materials Research and Testing, 12200 Berlin, Germany.
Ultrasonics
|June 11, 2016
Summary
This study introduces a novel mode-tracing method for elastic guided waves, enhancing dispersion curve analysis. The approach accurately identifies wave modes and critical phenomena using advanced approximation techniques.
Area of Science:
- Solid Mechanics
- Wave Propagation
- Computational Engineering
Background:
- Elastic guided waves are crucial for non-destructive testing and material characterization.
- Analyzing wave mode behavior in dispersion curves is complex, especially in critical frequency regions.
- Existing methods may lack precision in identifying wave mode characteristics.
Purpose of the Study:
- To develop and present a robust mode-tracing approach for elastic guided waves.
- To investigate and characterize phenomena within dispersion curves using analytical derivatives.
- To enhance the accuracy and stability of wave mode analysis.
Main Methods:
- Mode-tracing using analytically computed derivatives.
- Numerical simulations via the Scaled Boundary Finite Element Method (SBFEM).
- Wave mode identification using Taylor and Padé approximations based on higher-order differentials.
Main Results:
- Accurate identification of elastic guided wave modes.
- Characterization of remarkable phenomena in critical frequency regions of dispersion curves.
- Demonstration of Taylor and Padé approximations for eigenvalue problems.
Conclusions:
- The proposed mode-tracing approach offers enhanced accuracy for elastic guided wave analysis.
- The method effectively identifies critical phenomena in dispersion curves.
- The study suggests adaptations for critical regions and proposes solution process stabilization.
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