Transverse nonlinear dynamics of axially accelerating viscoelastic beams based on 4-term Galerkin truncation

DOI10.1016/j.chaos.2005.04.045zbMath1140.74576OpenAlexW2104173178MaRDI QIDQ813565

Xiao-Dong Yang, Li Qun Chen

Publication date: 13 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.045

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical and other methods in solid mechanics (74S99)

Related Items (11)

Hamiltonian dynamic analysis of an axially translating beam featuring time-variant velocity ⋮ Non-linear parametric vibration and stability of axially moving visco-elastic Rayleigh beams ⋮ Chaotic Dynamics of an Axially Accelerating Viscoelastic Beam in the Supercritical Regime ⋮ Nonlinear dynamics for transverse motion of axially moving strings ⋮ Dynamic analysis of an axially translating viscoelastic beam with an arbitrarily varying length ⋮ Stabilization of an axially moving Euler Bernoulli beam by an adaptive boundary control ⋮ Dynamical analysis of axially moving plate by finite difference method ⋮ Stochastic P-bifurcation of a bistable viscoelastic beam with fractional constitutive relation under Gaussian white noise ⋮ Transverse vibration characteristics of axially moving viscoelastic plate ⋮ Dynamic analysis of an axially moving viscoelastic string by the Galerkin method using translating string eigenfunctions ⋮ Stability, Bifurcation and Chaos of a Traveling Viscoelastic Beam Tuned to 3:1 Internal Resonance and Subjected to Parametric Excitation

Cites Work

• Non-linear vibrations and stability of an axially moving beam with time-dependent velocity
• Kelvin-Voigt versus Bürgers internal damping in modeling of axially moving viscoelastic web
• Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime
• Bifurcation and chaos of an axially accelerating viscoelastic beam
• Nonlinear vibrations of an axially moving viscoelastic web with time-dependent tension
• Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models
• Unnamed Item

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