Dynamic Finite Element analysis of fractionally damped structural systems in the time domain
- Authors: Bucher, C.; Pirrotta, A.
- Publication year: 2015
- Type: Articolo in rivista (Articolo in rivista)
- Key words: Calculations; Finite element method; Strain; Structural analysis; Viscoelasticity
- OA Link: http://hdl.handle.net/10447/194748
Abstract
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 wellknown Newmark method taking into account fractional derivatives discretized via the Grünwald–Letnikov summation allows the analysis of structural systems using standard Finite Element technology.