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 well-known 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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Christian Bucher was formerly a Visiting Professor at DICAM, Universitá degli Studi di Palermo, Palermo, Italy.
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Bucher, C., Pirrotta, A. Dynamic Finite Element analysis of fractionally damped structural systems in the time domain. Acta Mech 226, 3977–3990 (2015). https://doi.org/10.1007/s00707-015-1454-8
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DOI: https://doi.org/10.1007/s00707-015-1454-8