Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string

DOI10.1007/S10483-007-0101-XzbMath1231.70023OpenAlexW2070925104MaRDI QIDQ940171

Jian-Jun Wang, Chang-Jun Cheng, Neng-Hui Zhang

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0101-x

zbMATH Keywords

viscoelasticityaxially accelerating stringcomplex-mode Galerkin methodgeometry nonlinearitytransverse nonlinear vibration

Mathematics Subject Classification ID

Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (6)

Nonlinear dynamics for transverse motion of axially moving strings ⋮ On vibration and passive control of axially translating string with damping at both ends using reflected traveling wave superposition method ⋮ Dynamic instability of axially moving viscoelastic plate ⋮ Nonlinear combination parametric resonance of axially accelerating viscoelastic strings constituted by the standard linear solid model ⋮ Asymptotic analysis on nonlinear vibration of axially accelerating viscoelastic strings with the standard linear solid model ⋮ Nonlinear dynamic behaviors of viscoelastic shallow arches

Cites Work

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• Asymptotic nonlinear behaviors in transverse vibration of an axially accelerating viscoelastic string
• Transverse vibrations of an axially accelerating viscoelastic string with geometric nonlinearity
• Nonlinear dynamical analysis of axially moving viscoelastic strings
• Bifurcation and chaos of an axially moving viscoelastic string
• Simulations of transverse vibrations of an axially moving string: a modified difference approach
• Steady-state responses and their stability of nonlinear vibration of an axially accelerating string
• Classical Vibration Analysis of Axially Moving Continua
• The hybrid Laplace transform/finite element method applied to the quasi‐static and dynamic analysis of viscoelastic Timoshenko beams

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