Nonlinear Dynamics of Suspended Cables under Periodic Excitation in Thermal Environments: Two-to-One Internal Resonance

DOI10.1142/S0218127421501534zbMath1487.74056OpenAlexW3195793566MaRDI QIDQ4958578

Yaobing Zhao, Henghui Lin

Publication date: 14 September 2021

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

Full work available at URL: https://doi.org/10.1142/s0218127421501534

zbMATH Keywords

Galerkin methodchaosHopf bifurcationmultiple scales methodinternal resonancemodulation equationtemperature change effecttension variation factor

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Thermal effects in solid mechanics (74F05) 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 (3)

Revisited modeling and nonlinear oscillation behaviors of multi-segment damaged suspended cables in thermal environments ⋮ Nonlinear coupled dynamics of suspended cables due to crossover points shifting and symmetry breaking ⋮ Investigation on the nonlinear vibration characteristics of current-carrying crescent iced conductors under aerodynamic forces, Ampere's forces, and forced excitation conditions

Uses Software

• XPPAUT

Cites Work

• Unnamed Item
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• Resonant non-linear normal modes. I: Analytical treatment for structural one-dimensional systems
• Resonant non-linear normal modes. II: Activation/orthogonality conditions for shallow structural systems
• Multiple resonances in suspended cables: direct versus reduced-order models
• Super-harmonic and internal resonances of a suspended cable with nearly commensurable natural frequencies
• Modeling of the multi-cable supported arch and a novel technique to investigate the natural vibratory characteristics
• Simulating, Analyzing, and Animating Dynamical Systems
• Multimode Interactions in Suspended Cables

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