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.
Bucher, C., Pirrotta, A. (2015). Dynamic Finite Element analysis of fractionally damped structural systems in the time domain. ACTA MECHANICA [10.1007/s00707-015-1454-8].
Dynamic Finite Element analysis of fractionally damped structural systems in the time domain
PIRROTTA, Antonina
2015-01-01
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.
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