Time domain inversion of a viscoelastically restrained Timoshenko beam

Abstract

This paper deals with the inverse scattering problem for a homogeneous Timoshenko beam suspended on a semi-infinite viscoelastic layer. The purpose is to derive the properties of the suspension from knowledge of the reflection data. The method used is the imbedding technique, which render solutions that are independent of the excitation. From a numerical point of view, the reflection equation in its usual form is inappropriate when solving the inverse problem. In order to bypass such complications, the reflection equation is modified and solved. In the numerical results, the properties of the layer are calculated using noisy reflection data.