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Elastodynamic Doppler effects

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Summary

The Doppler effect is discussed for flexure waves in beam and plate, three body waves (P, SV, SH) in an infinite solid, modal SH waves in a thick plate and a Rayleigh wave on the surface of a semi-infinite solid. The exact closed form solution for each elasto-dynamic problem is obtained and the simple equation for the Doppler frequency shift is derived for all waves. It is shown that the Doppler frequency shift takes place continuously in the 2D plane problems, and that the most sensible wave for the Doppler frequency shift is the non-dispersion wave, such as the body wave and Rayleigh wave. The flexural and modal waves, which have the dispersion nature, are less sensible.

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Authors and Affiliations

  1. Graduate School of Science and Engineering, Yamagata University, Yonezawa, Yamagata, 992-8510, Japan

    Kazumi Watanabe

  2. Department of Energy Conversion Science, Graduate School of Energy Science, Kyoto University, Kyoto, Japan

    S. Biwa

Authors
  1. Kazumi Watanabe
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  2. S. Biwa
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Corresponding author

Correspondence to Kazumi Watanabe.

Additional information

Dedicated to Professor Franz Ziegler on the occasion of his 70th birthday

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Watanabe, K., Biwa, S. Elastodynamic Doppler effects. Acta Mech 195, 27–59 (2008). https://doi.org/10.1007/s00707-007-0515-z

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  • DOI: https://doi.org/10.1007/s00707-007-0515-z

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