A computation method for nonlinear vibration of axially accelerating viscoelastic strings

DOI10.1016/j.amc.2003.12.100zbMath1162.74367OpenAlexW2164892061MaRDI QIDQ1763277

Wei-Jia Zhao, Li Qun Chen

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.100

zbMATH Keywords

variational principledifferential/algebraic equations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Strings (74K05)

Related Items (7)

Nonlinear dynamics for transverse motion of axially moving strings ⋮ Energetics and conserved quantity of an axially moving string undergoing three-dimensional nonlinear vibration ⋮ Two-dimensional rheological element in modelling of axially moving viscoelastic web ⋮ A finite difference method for simulating transverse vibrations of an axially moving viscoelastic string ⋮ The energetics and the stability of axially moving strings undergoing planar motion ⋮ Principal parametric resonance of axially accelerating viscoelastic strings with an integral constitutive law ⋮ Steady-state response of an axially moving circular cylindrical panel with internal resonance

Cites Work

• Unnamed Item
• Asymptotic nonlinear behaviors in transverse vibration of an axially accelerating viscoelastic string
• A numerical method for simulating transverse vibrations of an axially moving string
• Transverse vibrations of an axially accelerating viscoelastic string with geometric nonlinearity
• Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law

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