Body wave propagation in rotating elastic media

摘要

We investigate the propagation of elastic waves through an elastic medium submitted to an angular rotation Omega. Wave propagation is shown to be directly related to the Kibel number Ki = omega/Omega, where omega is the wave frequency. Two dispersive waves W-1 and W-2 are obtained which tend to the classical dilatational and shear waves, respectively, when Ki tends to infinity. Wave W-1 shows a cutoff frequency omega(c) = Omega below which it does not propagate. The case of small angular rotation Omega is also studied. The corrections to be introduced to dilatational and shear waves are then shown to be of order O(Ki(-1)). (C) 2003 Elsevier Ltd. All rights reserved.