Torsional instability and sensitivity analysis in a suspension bridge model related to the Melan equation

DOI10.1016/j.cnsns.2018.07.005OpenAlexW2836615913WikidataQ129565211 ScholiaQ129565211MaRDI QIDQ2206084

Alessio Falocchi

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07498

zbMATH Keywords

suspension bridgesnonlocal termtorsional instabilityhyperbolic problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

A new model for suspension bridges involving the convexification of the cables ⋮ Transfer of energy from flexural to torsional modes for the fish-bone suspension bridge model ⋮ Instability results for a Hill equation coupled with an asymmetrically nonlinear oscillator ⋮ A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges

Cites Work

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• On the Melan equation for suspension bridges
• A qualitative explanation of the origin of torsional instability in suspension bridges
• Initial-boundary value problems for an extensible beam
• Nonlinear Structural Mechanics
• Variational formulation of the Melan equation
• Time-periodic oscillations in suspension bridges: Existence of unique solutions

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