Abstract
The propagation of surface (Rayleigh) waves over a rotating orthorhombic crystal is studied. The crystal possesses three crystallographic axes, normal to the symmetry planes: the half-space is cut along a plane normal to one of these axes, the wave travels in the direction of another, and the rotation occurs at a uniform rate about any of the three axes. The secular equation for the surface wave speed is found explicitly; in contrast to the non-rotating case, it is dispersive (frequency dependent). Both Coriolis and centrifugal accelerations appear in the equations of motion: none can be neglected in favour of the other, even at small rotation rates.
| Original language | English |
|---|---|
| Pages (from-to) | 653-665 |
| Number of pages | 13 |
| Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 460 |
| Issue number | 2042 |
| DOIs | |
| Publication status | Published - 8 Feb 2004 |
| Externally published | Yes |
Keywords
- Centrifugal and Coriolis accelerations
- Dispersion equation
- Orthotropic crystals
- Rotating media
- Surface waves
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