The role of aerodynamic forces in a mathematical model for suspension bridges

DOI10.3934/proc.2015.0112zbMath1354.37084arXiv1409.1769OpenAlexW2964185512MaRDI QIDQ260722

Elvise Berchio, Gazzola, Filippo

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1769

zbMATH Keywords

suspension bridgesHill equationtorsional stability

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability in context of PDEs (35B35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Generic properties, structural stability of dynamical systems (37C20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges ⋮ Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors ⋮ Which Residual Mode Captures the Energy of the Dominating Mode in Second Order Hamiltonian Systems?

Cites Work

• Initial-boundary value problem for the nonlinear string-beam system.
• A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge
• A qualitative explanation of the origin of torsional instability in suspension bridges
• Oscillations in suspension bridges, vertical and torsional
• ENERGY RELATIONS FOR A SUSPENDED CABLE
• Large Torsional Oscillations in a Suspension Bridge: Multiple Periodic Solutions to a Nonlinear Wave Equation
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