Non-linear dynamics of the extended Lazer-McKenna bridge oscillation model

DOI10.1080/026811100281929zbMath0952.34042OpenAlexW2054505297MaRDI QIDQ4487028

S. H. Doole, S. John Hogan

Publication date: 21 June 2000

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/026811100281929

zbMATH Keywords

nonlinear dynamicsperiodic motionsmultiple coexistencetorus bifurcationsperiod-doubling sequencesextended Lazer-McKenna bridge oscillation modelsuspension bridge dynamics

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items

Existence of torsional solitons in a beam model of suspension bridge ⋮ Unnamed Item ⋮ Erosion of the safe basin for the transversal oscillations of a suspension bridge ⋮ MULTISTABILITY, BASIN BOUNDARY STRUCTURE, AND CHAOTIC BEHAVIOR IN A SUSPENSION BRIDGE MODEL ⋮ High frequency shaking induced by low frequency forcing: periodic oscillations in a spring-cable system ⋮ Bifurcation and stability properties of periodic solutions to two nonlinear spring-mass systems ⋮ Analysis on two types of internal resonance of a suspended bridge structure with inclined main cables based on its sectional model ⋮ A qualitative explanation of the origin of torsional instability in suspension bridges

Uses Software

• AUTO

Cites Work

• Nonlinear torsional flexings in a periodically forced suspended beam
• A Stefan-like problem with a kinetic condition and surface tension effects
• The effect of damping on rigid block motion under harmonic forcing
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
• NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

This page was built for publication: Non-linear dynamics of the extended Lazer-McKenna bridge oscillation model