Homogenised finite element for transient dynamic analysis of unconstrained layer damping beams involving fractional derivative models
type: Item
instance of: scholarly article
title: Homogenised finite element for transient dynamic analysis of unconstrained layer damping beams involving fractional derivative models
zbMATH Open document ID: 1178.74164
author: Fernando Cortés
author: M. J. Elejabarrieta
published in: Computational Mechanics
publication date: 2009-05-08T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 5552352
zbMATH Keywords: Damping treatments
zbMATH Keywords: Finite element method
zbMATH Keywords: Fractional derivatives
zbMATH Keywords: Transient response
zbMATH Keywords: Viscoelastic models
MaRDI profile type: Publication
full work available at URL: s00466-006-0101-6
OpenAlex ID: W1997671641
cites work: Q4845525
cites work: On the Fractional Calculus Model of Viscoelastic Behavior
cites work: ANALYSIS OF FOUR-PARAMETER FRACTIONAL DERIVATIVE MODEL OF REAL SOLID MATERIALS
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Applications of fractional calculus in physics
cites work: Q3141902
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Computational algorithms for FE formulations involving fractional operators
cites work: Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
cites work: Finite element formulation of viscoelastic sandwich beams using fractional derivative operators
cites work: Finite element formulations for transient dynamic analysis in structural systems with viscoelastic treatments containing fractional derivative models
cites work: Finite element method. Vol. 1: The basis.
cites work: Modelling viscoelastic materials whose storage modulus is constant with frequency
cites work: A Simplex Method for Function Minimization
DOI: 10.1007/S00466-006-0101-6
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description: scientific article; zbMATH DE number 5552352