标题：Viscoelasticity: An electrical point of view
作者：Ala, Guido ;Di Paola, Mario ;Francomano, Elisa ;Li, Yan ;Pinnola, Francesco P.
作者机构：[Ala, Guido ] Università Degli Studi di Palermo, DEIM, Viale delle Scienze Ed.9, Palermo; I-90128, Italy;[Francomano, Elisa ] Università 更多
会议名称：2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
会议日期：23 June 2014 through 25 June 2014
来源：2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014
摘要：Time dependent hereditary properties of complex materials are well described by power-laws with real order exponent. This experimental observation and analogous electrical experiments, yield a description of these properties by using fractional-order operators. In this paper, elasto-viscous and visco-elastic behaviors of fractional order hereditary materials are firstly described by using fractional mathematical operators, based on recent work of some of the authors. Then, electrical analogous models are introduced. Viscoelastic models have elastic and viscous components which can be obtained by combining springs and dashpots: these models can be equivalently viewed as electrical circuits, where the spring and dashpot are analogous to the capacitance and resistance, respectively. The proposed models are validated by using modal analysis. The use of electrical analogous in viscoelasticity can better reveal the real behavior of fractional hereditary materials. © 2014 IEEE.