The chaotic response of the viscoelastic traveling string: an integral constitutive law

DOI10.1016/j.chaos.2003.10.037zbMath1049.74026OpenAlexW2129064246MaRDI QIDQ1878199

Jun Wu, Jean W. Zu, Li Qun Chen

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.10.037

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Linear constitutive equations for materials with memory (74D05) Strings (74K05)

Related Items (9)

Nonlinear dynamics for transverse motion of axially moving strings ⋮ Routes to chaos in continuous mechanical systems. I: Mathematical models and solution methods ⋮ Dynamic analysis of an axially moving viscoelastic string by the Galerkin method using translating string eigenfunctions ⋮ Stability analyses for axially moving strings in nonlinear free and aerodynamically excited vibrations ⋮ Nonlinear dynamic behavior of a moving viscoelastic string undergoing three-dimensional vibration ⋮ Bifurcation and chaos of an axially accelerating viscoelastic beam ⋮ Nonlinear dynamical analysis of axially moving viscoelastic strings ⋮ Asymptotic analysis on nonlinear vibration of axially accelerating viscoelastic strings with the standard linear solid model ⋮ Two-dimensional nonlinear dynamics of an axially moving viscoelastic beam with time-dependent axial speed

Cites Work

• Bifurcation and chaos of an axially moving viscoelastic string
• Steady-state response of the parametrically excited axially moving string constituted by the Boltzmann superposition principle
• Nonlinear dynamic analysis of the viscoelastic string with a harmonically varying transport speed

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