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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.

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Summary
This summary is machine-generated.

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.

Keywords:
Eigenvalue problem derivativesGuided wavesMode-tracingScaled Boundary Finite Element MethodUltrasound

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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.