抄録
There are two type modeling methods for describing dynamical behavior of viscoelastic materials; the Simo’s model and the fractional derivative model (or the fractional model). The Simo’s model is based on the generalized Mawxell model in which a number of Maxwell model with different decay constants are connected in parallel. One of the mathematical expressions of the Simo’s model is the Prony series in which the individual Maxwell models are given in integral form. The fractional derivative model can be defined as a limit of generalized Maxwell model with continuous distribution and an infinite range of decay constants. Owing to these properties of fractional derivative and the Prony series, one can evaluate the accuracy of the Prony series for the Simo’s model. In this paper we show how the accuracy of the Prony series is estimated quantitatively as the model of viscoelasticity including the viscoelastic dampers. We also show that the accuracy of the fractional models for viscoelastic materials can be estimated with the use of the Prony series.
