A Condensation Technique for Finite Element Dynamic Analysis Using Fractional Derivative Viscoelastic Models

DOI10.1177/1077546307087429zbMath1229.74050OpenAlexW2022504331MaRDI QIDQ3111031

Alessandro Fasana, Giuseppe Catania, Silvio Sorrentino

Publication date: 17 January 2012

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546307087429

zbMATH Keywords

viscoelasticityfinite element analysisfractional calculusmodal analysis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05)

Related Items (1)

Iterated schemes for dynamic condensation of structures with general viscous damping distributions

Cites Work

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• Fractals and fractional calculus in continuum mechanics
• Computational algorithms for FE formulations involving fractional operators
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Modal synthesis when modeling damping by use of fractional derivatives
• Time-Domain Finite Element Analysis of Viscoelastic Structures with Fractional Derivatives Constitutive Relations

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