Elastodynamic Doppler effects in an anisotropic solid: SH-wave

SH-wave response to a moving source in a simple anisotropic solid is considered. A general integration form for the response is derived, and then Doppler frequency shifts produced by linear and circular motions of a time-harmonic source are discussed. Due to the anisotropy, the frequency shifts at two opposite observing points are not the same. It is also shown that the Mach number should be defined by the ratio of the source velocity to the body wave velocity along the source path. Two frequency shifts are found when a time-harmonic source is moving on a circular path. They are the primary and secondary frequency shifts. The primary shift, which is the regular Doppler effect, is observed when the source passes through the nearest point of the observing point. But, the secondary shift is observed when the source is almost at the opposite side to the observing point. Lastly, a unified numerical procedure for discussing the Doppler frequency shifts is also presented.