TIME DOMAIN MODELING METHODS FOR DYNAMIC RESISTING FORCES OF VISCOELASTIC MATERIAL WITH FREQUENCY DEPENDENT : Comparison of spring-dashpot model, fractional derivative model and fading memory model

Abstract

It is necessary to consider the frequency dependent behavior of viscoelastic material in order to simulate seismic behavior of structures with viscoelastic dampers. Three dynamic mechanical models for viscoelastic material, the spring-dashpot model, the fractional derivative model and the fading memory model are examined in frequency and time domains. A generalized fractional derivative model is proposed to consider frequency dependent for wide frequency region. The spring-dashpot model and the fractional derivative model are expressed by the fading memory model with an adequate memory function. Load-deformation relations of calculated results using three models were in agreement with experimental value respectively. Three models explain well frequency dependent characteristic of viscoelastic material.