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Circumferential-wave phase velocities for empty, fluid-immersed spherical metal shells.

Herbert Uberall1, A Claude Ahyi, P K Raju

  • 1Department of Physics, Catholic University of America, Washington, DC 20064, USA. uberallh@msn.com

The Journal of the Acoustical Society of America
|January 2, 2003
PubMed
Summary

This study demonstrates how acoustic resonance frequencies accurately predict surface wave dispersion curves for spherical metal shells. These findings confirm theoretical models for aluminum, stainless steel, and tungsten carbide shells.

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Area of Science:

  • Acoustics
  • Solid Mechanics
  • Materials Science

Background:

  • Acoustic resonance frequencies can accurately determine surface wave phase velocity dispersion.
  • Previous work established the phase matching condition for surface waves on shells.
  • Three-dimensional elasticity theory provides a benchmark for resonance-based calculations.

Purpose of the Study:

  • To obtain and compare circumferential-wave dispersion curves for water-loaded, evacuated spherical metal shells.
  • To validate the connection between acoustic resonance frequencies and elasticity theory for various metals.
  • To investigate the low-frequency upturn behavior of shell-borne wave dispersion curves.

Main Methods:

  • Utilizing known acoustic resonance frequencies to derive phase velocity dispersion curves.

Related Experiment Videos

  • Applying the phase matching condition for surface waves on spherical shells.
  • Comparing results with predictions from three-dimensional elasticity theory.

    • Main Results:

    • Comparative circumferential-wave dispersion curves were obtained for aluminum, stainless steel, and tungsten carbide shells.
    • Resonance-based results showed close agreement with elasticity theory.
    • The characteristic low-frequency upturn of dispersion curves for low-order waves (A or A0) was observed for all tested metals.

    Conclusions:

    • The method of using acoustic resonance frequencies is effective for determining dispersion curves of spherical shells.
    • The observed phenomena are consistent across different metallic shell materials.
    • This approach provides a reliable means to study shell wave dynamics and validate theoretical models.