Axially-symmetrical oscillation of a semi-infinite layered medium with complex damping

Abstract

A horizontally-layered, semi-infinite, isotropic medium with complex damping (O-damping) is considered to be excited by a prescribed periodic vertical motion at a point on the free surface. The resulting periodic displacement vector of the medium is expanded in a Neumann series of Bessel functions of the radial coordinate r. which ensures that the displacement vanishes as r->oo. Ordinary, linear, differential equations for the coefficients in these series are derived, along with continuity conditions at the interfaces and boundary conditions at the free surface.

Keywords:

• layered medium
• complex damping
• axially-symmetrical oscillations