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Transfer and Green functions based on modal analysis for Lamb waves generation

Nunez1, Ing, Negreira

  • 1Laboratorio de Acustica Ultrasonora, Instituto de Fisica, Facultad de Ciencias, Montevideo, Uruguay.

The Journal of the Acoustical Society of America
|June 1, 2000
PubMed
Summary

This study introduces a simplified method for calculating Lamb wave functions in elastic plates. This approach streamlines analysis for various wave generation methods, reducing complex computations.

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Area of Science:

  • Solid Mechanics
  • Acoustics
  • Materials Science

Background:

  • Lamb waves are crucial for non-destructive testing and material characterization in elastic plates.
  • Calculating the behavior of multiple Lamb wave modes from various excitation sources can be computationally intensive.
  • Existing methods often require laborious calculations for different Lamb wave sources.

Purpose of the Study:

  • To develop a simplified and efficient method for deducing tensorial transfer and Green functions for Lamb waves.
  • To enable accurate prediction of individual mode responses in isotropic elastic plates under pulsed excitation.
  • To provide a versatile tool applicable to diverse Lamb wave generation techniques.

Main Methods:

  • Development of a transfer function based on modal analysis.

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  • Application of the derived functions to predict Lamb wave propagation.
  • Comparison of theoretical predictions with established literature and experimental data.

    • Main Results:

    • A straightforward method for calculating Lamb wave transfer and Green functions was successfully established.
    • The developed approach simplifies the analysis of Lamb wave propagation for various pulsed excitation sources.
    • Theoretical predictions align well with established theoretical results and experimental measurements.

    Conclusions:

    • The presented method offers an easy-to-use and computationally efficient alternative for Lamb wave analysis.
    • This technique facilitates the understanding and prediction of complex Lamb wave mode interactions.
    • The findings are validated against established theories and experimental data, confirming their reliability.