6533b854fe1ef96bd12af628

RESEARCH PRODUCT

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

Antonina PirrottaChristian Bucher

subject

Finite element methodDiscretizationMechanical EngineeringMathematical analysisStructural systemStructural analysiComputational MechanicsCalculationViscoelasticityFinite element methodViscoelasticityFractional calculusStrainSimple (abstract algebra)Newmark-beta methodTime domainMathematics

description

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.

yearjournalcountryeditionlanguage
2015-09-30
10.1007/s00707-015-1454-8http://hdl.handle.net/10447/194748