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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type , Conference object 01 Nov 2015Embargo end date: 01 Jan 2014 Italy Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain)

Authors: berchio, elvise; GAZZOLA, FILIPPO;

doi: 10.3934/proc.2015.0112 , 10.48550/arxiv.1409.1769

arXiv: 1409.1769

handle: 11583/2649871 , 11311/970077

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

- Summary
- Subjects
- Metrics

Abstract

In a fish-bone model for suspension bridges studied by us in a previous paper we introduce linear aerodynamic forces. We numerically analyze the role of these forces and we theoretically show that they do not influence the onset of torsional oscillations. This suggests a new explanation for the origin of instability in suspension bridges: it is a combined interaction between structural nonlinearity and aerodynamics and it follows a precise pattern. This gives an answer to a long-standing question about the origin of torsional instability in suspension bridges.

Country

Italy

Related Organizations

Polytechnic University of Milan
Italy
Polytechnic University of Turin
Italy

Keywords

Hill equation, 37C20, 35B35, 34C15, Nonlinear oscillations and coupled oscillators for ordinary differential equations, suspension bridges, Generic properties, structural stability of dynamical systems, torsional stability, Mathematics - Analysis of PDEs, Dynamical systems in fluid mechanics, oceanography and meteorology, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Rods (beams, columns, shafts, arches, rings, etc.), suspension bridges, torsional stability, Hill equation, PDEs in connection with mechanics of deformable solids, Stability in context of PDEs, Analysis of PDEs (math.AP)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average