In-plane oscillations of elastic rectangle on a layered viscoelastic half-space

In the present paper in the context of plane problem we study harmonic oscillations of the elastic rectangle above a viscoelastic layered half-space. The latter consists of an elastic half-space in which a viscoelastic layer of thickness h(1) is embedded at the depth h. By using the Fourier integral transform and Betti's integral identity, the problem is reduced to a set of integral equations. in view of practical applications, we study the possibility of protection from vibrations attained with the use of the viscoelastic layer. (C) 2009 Elsevier Ltd. All rights reserved.