Large Torsional Oscillations in a Suspension Bridge: Multiple Periodic Solutions to a Nonlinear Wave Equation

DOI10.1137/S0036141001388099zbMath1018.35007OpenAlexW2001958902MaRDI QIDQ4785718

Kristen S. Moore

Publication date: 5 January 2003

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141001388099

zbMATH Keywords

weak solutionsnonlinear wave equationsuspension bridgetorsional oscillationsnumerical continuation algorithmsforced sine-Gordon equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Bifurcations in context of PDEs (35B32)

Related Items (16)

An instability result in the theory of suspension bridges ⋮ Existence and multiplicity of periodic solutions for Dirichlet-Neumann boundary value problem of a variable coefficient wave equation ⋮ An Instability Result for Suspension Bridges ⋮ Existence of torsional solitons in a beam model of suspension bridge ⋮ Transfer of energy from flexural to torsional modes for the fish-bone suspension bridge model ⋮ Multiple periodic solutions to a suspension bridge wave equation with damping ⋮ Instability results for a Hill equation coupled with an asymmetrically nonlinear oscillator ⋮ On a nonlinear nonlocal hyperbolic system modeling suspension bridges ⋮ Oscillations in suspension bridges, vertical and torsional ⋮ On aspects of asymptotics for plate equations ⋮ Bifurcation and stability properties of periodic solutions to two nonlinear spring-mass systems ⋮ Nonstandard finite difference scheme for a Tacoma Narrows Bridge model ⋮ On the instability tongues of the Hill equation coupled with a conservative nonlinear oscillator ⋮ 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 ⋮ The role of aerodynamic forces in a mathematical model for suspension bridges

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