Transverse vibrations of an axially accelerating viscoelastic string with geometric nonlinearity

DOI10.1023/B:ENGI.0000011929.17902.87zbMath1065.74031OpenAlexW2109167309MaRDI QIDQ1431255

Jun Wu, Jean W. Zu, Li Qun Chen, Xiao-Dong Yang

Publication date: 27 May 2004

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:engi.0000011929.17902.87

zbMATH Keywords

method of multiple scales\(2:1\) parametric resonance

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05)

Related Items (10)

Nonlinear dynamics for transverse motion of axially moving strings ⋮ Eigenvalue and stability analysis for transverse vibrations of axially moving strings based on Hamiltonian dynamics ⋮ Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string ⋮ A computation method for nonlinear vibration of axially accelerating viscoelastic strings ⋮ Asymptotic analysis of axially accelerating viscoelastic strings ⋮ Principal parametric resonance of axially accelerating viscoelastic strings with an integral constitutive law ⋮ A numerical method for simulating transverse vibrations of an axially moving string ⋮ 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 ⋮ Parametric resonances of convection belt system

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