Dynamic Finite Element analysis of fractionally damped structural systems in the time domain

摘要

Visco-elastic material models with fractional characteristics have been used for several decades. This paper provides a simple methodology for Finite-Element-based dynamic analysis of structural systems with viscosity characterized by fractional derivatives of the strains. In particular, a re-formulation of the well-known Newmark method taking into account fractional derivatives discretized via the Grunwald-Letnikov summation allows the analysis of structural systems using standard Finite Element technology.