Torsional instability in suspension bridges: The Tacoma Narrows Bridge case

Arioli, Gianni; Gazzola, Filippo

doi:10.1016/j.cnsns.2016.05.028

Cited by 59 publications

(56 citation statements)

References 39 publications

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“…The collapse occurred after four months of use. According to Hobbs (2006) [31], Arioli and Gazzola (2017) [32], the principal cause of the collapse are the excessive dynamic torsional oscillations resulting from the vortex shedding. The study of this bridge's collapse was facilitated by the felicitous fact that the bridge behavior could be precisely monitored, from the start of the collapse to the crash moment, by filming that registered the oscillations and the nature of destruction.…”

Section: Resultsmentioning

confidence: 99%

Analysis of long-span bridge fluctuations for finding its optimal safe operation

Smirnova

2020

E3S Web Conf.

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The paper studies the intense oscillations sustained by the Volgogradsky Bridge on May 20, 2010. The studies were carried out based on physical and mathematical experiments. The introduction indicates the causes of emergence of the intense aeroelastic oscillations. Description is given of the physical nature of one of the types of these oscillations, i.e. stall flutter. Catastrophes are considered that had been caused by the flutter. Methodological fundamentals of the experiment are named and modern software capabilities of computer-aided fluid and gas dynamics are listed. The results of the experiment are supplied, including visualization of the Karman vortex street and determination of the Strouhal number. The recalculation of the experimental data to natural conditions is substantiated. A description is given of calculation of the bridge’s aeroelastic oscillations. The main results of the aerodynamic calculation are supplied: the Strouhal numbers and critical velocities. The results of mathematical and physical experiments tallied well. A tally of the calculation and estimated full-scale results is pointed out. Results of this calculation (bridge oscillation amplitudes) are supplied. The conclusions point to the prospective viability of the mathematical experiment method. The proposed methods can minimize risks for the construction of long-span girder bridges, ensuring the precise estimation of their subsequent safe operation.

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Section: Resultsmentioning

confidence: 99%

Analysis of long-span bridge fluctuations for finding its optimal safe operation

Smirnova

2020

E3S Web Conf.

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“…Theorem 13 states that small periodic forcing terms (such as small vortex shedding) generate a stable prevailing mode of oscillation to which all the solutions approach as t increases. But since each periodic movement (or mode of oscillation) has its own threshold of instability, see [9,19,25,27], it is more realistic to address the following fluid-structure interaction problem.…”

Section: Theorem 12 ([237]mentioning

confidence: 99%

Eight(y) mathematical questions on fluids and structures

Bonheure

Gazzola

Sperone

2019

Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.

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Dedicated to Vladimir Maz'ya in occasion of his eightieth birthday, with great esteem, deep admiration, and eight winks to his musical moments [208, Sect. 4.8] Abstract.-Turbulence is a long-standing mystery. We survey some of the existing (and sometimes contradictory) results and suggest eight natural questions whose answers would increase the mathematical understanding of this phenomenon; each of these questions, yet, gives rise to ten subquestions.

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“…Following Definition 1, we put w 0 k := 2 L w 0 k , w 1 k := 2 L w 1 k and similarly for the θ initial conditions. Applying a similar procedure to [6,7] we excite one single longitudinal mode (the j th ) at a time, applying an initial condition 10 −3 smaller on all the other components, i.e. in dimensionless form…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…We consider an isolated model aiming to show that the origin of the torsional instability is purely structural, as proposed in other works [5,6,7]; in particular we suppose that the wind introduces energy in the structure, exciting one longitudinal mode at a time, through the initial conditions. This is legitimate since the frequency of the vortex shedding usually excites one mode.…”

Section: Introductionmentioning

confidence: 99%

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

Falocchi

2019

Communications in Nonlinear Science and Numerical Simulation

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Inspired by the Melan equation we propose a model for suspension bridges with two cables linked to a deck, through inextensible hangers. We write the energy of the system and we derive from variational principles two nonlinear and nonlocal hyperbolic partial differential equations, involving the vertical displacement and the torsional rotation of the deck. We prove existence and uniqueness of a weak solution and we perform some numerical experiments on the isolated system; moreover we propose a sensitivity analysis of the system by mechanical parameters in terms of torsional instability. Our results display that there are specific thresholds of torsional instability with respect to the initial amplitude of the longitudinal mode excited.

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Torsional instability in suspension bridges: The Tacoma Narrows Bridge case

Cited by 59 publications

References 39 publications

Analysis of long-span bridge fluctuations for finding its optimal safe operation

Analysis of long-span bridge fluctuations for finding its optimal safe operation

Eight(y) mathematical questions on fluids and structures

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

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