Transient response of an acoustic half-space to a rotating point load
This paper presents a solution of three-dimensional problems for nonuniformly moving loads. By using Cagniard's technique, the problem is reduced to a change in the order of integration. The technique has no restrictions on the velocity variation and on the trajectory of the load. The problem of a rotating load applied to the surface of an acoustic half-space is discussed as an example. It is found that the leading wave turns on the surface of a hyperboloid of one sheet of revolution as the load rotates supersonically. There exists singularity just ahead of the leading wave-front, which, however, does not change order due to the rotation.