Nonlinear Phenomena in Axially Moving Beams with Speed-Dependent Tension and Tension-Dependent Speed

DOI10.1142/S0218127421500371zbMath1462.74078MaRDI QIDQ5857875

You-Qi Tang, Shuang Liu, Unnamed Author, Ling Chen, Yuan Zhou

Publication date: 8 April 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaosbifurcationdomain of attractionfourth-order Galerkin truncation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (1)

Nonlinear Dynamics and Bifurcation Analysis of a Hinged-Clamped Beam Under Parametric and Internal Resonances

Cites Work

• Parametric and internal resonance of axially accelerating viscoelastic beams with the recognition of longitudinally varying tensions
• Three-dimensional nonlinear planar dynamics of an axially moving Timoshenko beam
• Zener internal damping in modelling of axially moving viscoelastic beam with time-dependent tension
• Nonlinear dynamics of axially moving viscoelastic Timoshenko beam under parametric and external excitations
• Transverse vibration of viscoelastic sandwich beam with time-dependent axial tension and axially varying moving velocity
• Dynamic stability of axially accelerating viscoelastic plates with longitudinally varying tensions
• Complex modes and traveling waves in axially moving Timoshenko beams
• Bifurcation and chaos of an axially accelerating viscoelastic beam
• Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed
• Nonlinear dynamics of a viscoelastic traveling beam with time-dependent axial velocity and variable axial tension
• Chaotic Dynamics of an Axially Accelerating Viscoelastic Beam in the Supercritical Regime
• Parametric Instability of Axially Moving Media Subjected to Multifrequency Tension and Speed Fluctuations
• Active Vibration Control Methods of Axially Moving Materials - A Review

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