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

Antonina Pirrotta, Christian Bucher

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13 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)-
Numero di pagine13
RivistaActa Mechanica
Stato di pubblicazionePublished - 2015

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Derivatives
Finite element method
Dynamic analysis
Viscosity

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering

Cita questo

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title = "Dynamic Finite Element analysis of fractionally damped structural systems in the time domain",
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 Gr{\"u}nwald–Letnikov summation allows the analysis of structural systems using standard Finite Element technology.",
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AU - Bucher, Christian

PY - 2015

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AB - 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.

KW - Calculations; Finite element method; Strain; Structural analysis; Viscoelasticity

UR - http://hdl.handle.net/10447/194748

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JO - Acta Mechanica

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