Surface acoustic waves in rotating orthorhombic crystals

被引:45
作者
Destrade, M [1 ]
机构
[1] Univ Paris 06, CNRS, UMR 7607, Modelisat Mecan Lab, F-75252 Paris 05, France
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2004年 / 460卷 / 2042期
关键词
surface waves; rotating media; orthotropic crystals; centrifugal and Coriolis accelerations; dispersion equation;
D O I
10.1098/rspa.2003.1192
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
引用
收藏
页码:653 / 665
页数:13
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