On the Influence of Gravity on Surface (Rayleigh and Love) Waves in Cylindrical Co-ordinates

Abstract

The influence of gravity on simple Rayleigh waves was first treated by Bromwich, assuming the material is imcompressible in order to avoid the mathematical difficulties. Following the usual method, he made one modification, viz., the normal traction on the mean free surface has to be sufficient to support the weight of the harmonic inequality, instead of vanishing. In this paper, the problem is treated in different ways, using the ordinary method for an imcompressible fluid under the influence of gravity, in hydrodynamics. Further the present author intended to discuss the influence of gravity on surface (both Rayleigh and Love) waves in cylindrical co-ordinates. The results obtained are quite similar with those obtained by Bromwich