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Waves in a rotating elastic solid

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Abstract

Wave propagation in a uniformly rotating elastic solid is discussed based on displacement equations in a moving frame. The time-harmonic Green’s dyadic for a point body force is obtained in closed form. It is reconfirmed that two quasi dilatational and shear waves are coupled to each other, and the deformation decomposition into the dilatation and rotation is not possible for the rotating solid. Further, it is also confirmed that the velocity of the Rayleigh surface wave depends not only on the rotational velocity but also on its direction and that the Rayleigh wave vanishes when the rotational velocity approaches the Rayleigh wave velocity of the immovable solid.

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Authors and Affiliations

  1. Yamagata University, Horikawa-cyo 5-76, Yonezawa, Yamagata, 992-0061, Japan

    Kazumi Watanabe

  2. Department of Mechanical and Aerospace Engineering, University of California at San Diego, 9500 Girman Drive, La Jolla, CA, 92093-0411, USA

    Hidenori Murakami

Authors
  1. Kazumi Watanabe
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  2. Hidenori Murakami
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Correspondence to Kazumi Watanabe.

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Watanabe, K., Murakami, H. Waves in a rotating elastic solid. Acta Mech 224, 3021–3036 (2013). https://doi.org/10.1007/s00707-013-0904-4

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  • DOI: https://doi.org/10.1007/s00707-013-0904-4

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