Bifurcation and chaos of an axially moving viscoelastic string

DOI10.1016/S0093-6413(02)00241-0zbMath1012.74522OpenAlexW1990098703MaRDI QIDQ1872656

Jean W. Zu, Li Qun Chen, Neng-Hui Zhang

Publication date: 14 May 2003

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0093-6413(02)00241-0

Mathematics Subject Classification ID

Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Strings (74K05)

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The chaotic response of the viscoelastic traveling string: an integral constitutive law ⋮ Dynamic responses of viscoelastic axially moving belt ⋮ Nonlinear dynamic response of axially moving, stretched viscoelastic strings ⋮ 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 ⋮ 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 ⋮ Study on vibration and stability of an axially translating viscoelastic Timoshenko beam: non-transforming spectral element analysis ⋮ Stability characteristics of an axially accelerating string supported by an elastic foundation

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