Three-to-one internal resonance analysis for a suspension bridge with spatial cable through a continuum model

DOI10.1016/j.euromechsol.2021.104354zbMath1486.74068OpenAlexW3179508240MaRDI QIDQ1982337

Weidong Zhu, Xugang Hua, Liang Xu, Yi Hui

Publication date: 8 September 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104354

zbMATH Keywords

multiple scales methodinclined main cablecontinuum suspension bridge modelnonlinear 3:1 internal resonance

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Thin bodies, structures (74K99) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (3)

A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges ⋮ Nonlinear coupled dynamics of suspended cables due to crossover points shifting and symmetry breaking ⋮ Comparison of instantaneous phase differences between externally and parametrically excited suspended cable

Cites Work

• Planar nonlinear free vibrations of an elastic cable
• Generalized nonlinear models of suspension bridges
• Non-linear vibrations of suspension bridges with external excitation
• Foundations of solid mechanics
• Multiple resonances in suspended cables: direct versus reduced-order models
• Analysis on two types of internal resonance of a suspended bridge structure with inclined main cables based on its sectional model
• An overview of bifurcation, chaos and nonlinear dynamics in control systems
• Asymptotic dynamics of nonlinear coupled suspension bridge equations
• Torsional instability in suspension bridges: the Tacoma Narrows Bridge case
• Mathematical models for suspension bridges. Nonlinear structural instability
• A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge
• Nonlinear models of suspension bridges
• Linear and nonlinear dynamics of suspended cable considering bending stiffness
• A Taylor-Galerkin method for convective transport problems
• Nonlinear Vibrations of Piecewise-Linear Systems by Incremental Harmonic Balance Method
• Analysis of nonlinear free vibrations of suspension bridges
• A piece wise linear suspension bridge model: nonlinear dynamics and orbit continuation
• Nonlinear Structural Mechanics
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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