Stability of axially accelerating viscoelastic beams: Multi-scale analysis with numerical confirmations

DOI10.1016/J.EUROMECHSOL.2007.11.014zbMath1419.74143OpenAlexW2126116491MaRDI QIDQ2517747

Hu Ding, Li Qun Chen

Publication date: 8 January 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2007.11.014

zbMATH Keywords

instabilitymethod of multiple scalesparametric resonanceaxially accelerating beamthe finite differencethe material time derivative

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Linear constitutive equations for materials with memory (74D05) Finite difference methods applied to problems in solid mechanics (74S20)

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Cites Work

• Zener internal damping in modelling of axially moving viscoelastic beam with time-dependent tension
• Dynamic stability of an axially accelerating viscoelastic beam
• Vibration and stability of an axially moving viscoelastic beam with hybrid supports
• Kelvin-Voigt versus Bürgers internal damping in modeling of axially moving viscoelastic web
• On the weakly nonlinear, transversal vibrations of a conveyor belt with a low and time-varying velocity
• Bifurcation and chaos of an axially accelerating viscoelastic beam
• Nonlinear vibrations of an axially moving viscoelastic web with time-dependent tension
• Two-dimensional rheological element in modelling of axially moving viscoelastic web
• Parametric Instability of Axially Moving Media Subjected to Multifrequency Tension and Speed Fluctuations
• Nonlinear Vibration of Parametrically Excited, Viscoelastic, Axially Moving Strings
• [https://portal.mardi4nfdi.de/wiki/Publication:5670207 �ber die Stabilit�t der Biegeschwingungen von in L�ngsrichtung periodisch hin- und herbewegten St�ben]

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