Dynamic characteristics of multilayered beams with viscoelastic layers described by the fractional Zener model

DOI10.1007/s00419-015-1019-2zbMath1341.74099OpenAlexW803899340MaRDI QIDQ2630980

Roman Lewandowski, Marcin Baum

Publication date: 28 July 2016

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-015-1019-2

zbMATH Keywords

fractional derivativescontinuation methodnonlinear eigenvalue problemdynamic characteristicsbeams with viscoelastic layers

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Composite and mixture properties (74E30) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

Related Items (10)

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Cites Work

• Homogenised finite element for transient dynamic analysis of unconstrained layer damping beams involving fractional derivative models
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Time-domain modeling of damping using anelastic displacement fields and fractional calculus
• Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
• Finite element formulation of viscoelastic sandwich beams using fractional derivative operators
• Three-layered damped beam element for forced vibration analysis of symmetric sandwich structures with a viscoelastic core
• Structural Dynamic Analysis with Generalized Damping Models
• High-order layerwise finite element for the damped free-vibration response of thick composite and sandwich composite plates
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• A discrete layer beam finite element for the dynamic analysis of composite sandwich beams with integral damping layers
• The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions
• Dynamic stiffness formulation and free vibration analysis of a three-layered sandwich beam
• Analytical modeling of viscoelastic dampers for structural and vibration control.

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