Modeling and analysis of 1:3 internal resonance of suspension bridge under boundary excitations

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)

Cites Work

Basins of attraction of periodic oscillations in suspension bridges
Non-linear vibrations of suspension bridges with external excitation
Nonlinear torsional flexings in a periodically forced suspended beam
Dynamic modeling and in-plane \(1:1:1\) internal resonance analysis of cable-stayed bridge
Analysis on two types of internal resonance of a suspended bridge structure with inclined main cables based on its sectional model
Three-to-one internal resonance analysis for a suspension bridge with spatial cable through a continuum model
Torsional instability in suspension bridges: the Tacoma Narrows Bridge case
The fractional derivative expansion method in nonlinear dynamic analysis of structures
Planar nonlinear dynamic behavior of a cable-stayed bridge under excitation of tower motion
Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach
Non-linear dynamics of the extended Lazer-McKenna bridge oscillation model
MULTISTABILITY, BASIN BOUNDARY STRUCTURE, AND CHAOTIC BEHAVIOR IN A SUSPENSION BRIDGE MODEL
Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
Feasibility study of super-long span bridges considering aerostatic instability by a two-stage geometric nonlinear analysis
Non-linear dynamic analysis on a continuum suspension bridge model with spatial layout of main cables
Modal characteristic and nonlinear dynamic response of suspension bridge with lateral asymmetric stiffness
Study on vibration suppression of an inclined cable with a nonlinear energy sink under the axial excitation

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