Reduction Method Applied to Viscoelastically Damped Finite Element Models

摘要

This paper is devoted to procedures for finite element modelling of structures incorporating viscoelastic materials, with emphasis placed on reduction methods intended for the reduction of the order of the finite elements matrices of the damped systems. This work focuses the use of Guyan reduction method. To account the frequency-dependant behaviour of viscoelastic materials, the Golla-Hughes-Mc-Tavish (GHM) model is used. The paper is organized as follows: introductory comments are first presented regarding the use of viscoelastic models and the procedures for their inclusion in the finite element structural matrices. Next, the studied Guyan reduction method is developed. Numerical simulations applied to beam and plate structures are presented to illustrate the use of Guyan reduction method applied to GHM damped finite element models. These examples will highlight the domain of validity of the proposed method, its performance and practical interest in the dynamic analysis of viscoelastically damped structures.