Viscoelastic material parameter identification from force and displacement response in the time and frequency domain

Abstract

Viscoelastic materials are a way to passively reduce structural vibrations of mechanical systems. In order to design such damping treatments, the knowledge of the frequency dependent material properties is a prerequisite. Recently, inverse approaches are proposed for the identification of system characteristics in addition to the direct ones e.g. dynamic mechanical analysis. Inverse approaches obtain model parameters by comparing experimental data with predictions from numerical simulations. These techniques are mostly executed in the frequency domain. They have as disadvantage the disregarding of the information inherently contained in the transient behavior of the system. In this work, an inverse technique is proposed to identify the parameters of a fractional derivative model by comparing the external force or displacement in the time or frequency domain of an experiment with numerical simulations. The technique is numerically verified and experimentally validated on a clamped beam with constrained layer damping.