Nonlinear resonant response of the cable-stayed beam with one-to-one internal resonance in veering and crossover regions

DOI10.1007/s11071-020-06107-2zbMath1516.74062OpenAlexW3119273249MaRDI QIDQ6166398

Kai He, Jian Peng, Xiao-Yu Zhang, Wanzhi Qiao, Lian Hua Wang

Publication date: 2 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-06107-2

zbMATH Keywords

nonlinear interactioncable-stayed beamone-to-one internal resonancecurve veeringfrequency island phenomenon

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Parametric resonances for nonlinear problems in mechanics (70K28)

Cites Work

• Unnamed Item
• The effects of kinematic condensation on internally resonant forced vibrations of shallow horizontal cables
• Resonant non-linear normal modes. I: Analytical treatment for structural one-dimensional systems
• One-to-two global-local interaction in a cable-stayed beam observed through analytical, finite element and experimental models
• Non-linear interactions in imperfect beams at veering
• Nonlinear interactions in the planar dynamics of cable-stayed beam.
• Multiple resonances in suspended cables: direct versus reduced-order models
• Dynamic modeling and in-plane \(1:1:1\) internal resonance analysis of cable-stayed bridge
• Studies on bifurcation and chaos of a string-beam coupled system with two degrees-of-freedom

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