Nonlinear dynamical analysis of axially moving viscoelastic strings

DOI10.1016/J.CHAOS.2004.09.113zbMath1085.74023OpenAlexW2126528888MaRDI QIDQ1777024

Neng-Hui Zhang, Li Qun Chen

Publication date: 12 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.113

zbMATH Keywords

bifurcation diagramsGalerkin truncationschaotic motions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Strings (74K05)

Related Items (12)

Chaotic Dynamics of an Axially Accelerating Viscoelastic Beam in the Supercritical Regime ⋮ Nonlinear dynamics for transverse motion of axially moving strings ⋮ Nonlinear transversal vibration of an axially moving viscoelastic string on a viscoelastic guide subjected to mono-frequency excitation ⋮ Nonlinear study of the dynamic behavior of a string-beam coupled system under combined excitations ⋮ Two-dimensional rheological element in modelling of axially moving viscoelastic web ⋮ Stochastic P-bifurcation of a bistable viscoelastic beam with fractional constitutive relation under Gaussian white noise ⋮ Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string ⋮ Dynamic analysis of an axially moving viscoelastic string by the Galerkin method using translating string eigenfunctions ⋮ Nonlinear dynamic behavior of a moving viscoelastic string undergoing three-dimensional vibration ⋮ Two-dimensional nonlinear dynamics of an axially moving viscoelastic beam with time-dependent axial speed ⋮ Stability characteristics of an axially accelerating string supported by an elastic foundation ⋮ Multi-pulse orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt

Cites Work

• Unnamed Item
• Asymptotic nonlinear behaviors in transverse vibration of an axially accelerating viscoelastic string
• Kelvin-Voigt versus Bürgers internal damping in modeling of axially moving viscoelastic web
• Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime
• Bifurcation and chaos of an axially accelerating viscoelastic beam
• Bifurcation and chaos of an axially moving viscoelastic string
• The chaotic response of the viscoelastic traveling string: an integral constitutive law
• Nonlinear vibrations of an axially moving viscoelastic web with time-dependent tension
• Classical Vibration Analysis of Axially Moving Continua

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