A new detailed explanation of the Tacoma collapse and some optimization problems to improve the stability of suspension bridges
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Publication:6195586
DOI10.3934/mine.2023045OpenAlexW4289181532MaRDI QIDQ6195586
Mohamed Jleli, Gazzola, Filippo, Bessem Samet
Publication date: 14 March 2024
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mine.2023045
Nonlinear elasticity (74B20) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- A partially hinged rectangular plate as a model for suspension bridges
- The role of aerodynamic forces in a mathematical model for suspension bridges
- Instability of modes in a partially hinged rectangular plate
- Analysis and numerical studies of a problem of shape design
- Structural instability of nonlinear plates modelling suspension bridges: mathematical answers to some long-standing questions
- On a nonlinear nonlocal hyperbolic system modeling suspension bridges
- Weak uniqueness and partial regularity for the composite membrane problem
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Regularity of the minimizers in the composite membrane problem in \(\mathbb R^2\)
- Nonlinear differential equations and dynamical systems
- Finite element methods for suspension bridge models
- A mathematical model for suspension bridge vibration
- Finite element approximation of a fourth order integro-differential equation
- A minimaxmax problem for improving the torsional stability of rectangular plates
- Existence of torsional solitons in a beam model of suspension bridge
- Energy transfer between modes in a nonlinear beam equation
- Thresholds for hanger slackening and cable shortening in the Melan equation for suspension bridges
- Loss of energy concentration in nonlinear evolution beam equations
- Wide oscillation finite time blow up for solutions to nonlinear fourth-order differential equations
- Three-to-one internal resonance analysis for a suspension bridge with spatial cable through a continuum model
- Torsional instability in suspension bridges: the Tacoma Narrows Bridge case
- A connection between symmetry breaking for Sobolev minimizers and stationary Navier-Stokes flows past a circular obstacle
- Beams with an intermediate pier: spectral properties, asymmetry and stability
- An orthotropic plate model for decks of suspension bridges
- A new model for suspension bridges involving the convexification of the cables
- Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability
- Torsional instability and sensitivity analysis in a suspension bridge model related to the Melan equation
- Solenoidal extensions in domains with obstacles: explicit bounds and applications to Navier-Stokes equations
- About symmetry in partially hinged composite plates
- Dynamic optimization for beginners. With prerequisites and applications
- Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates
- Hexagonal design for stiffening trusses
- Mathematical models for suspension bridges. Nonlinear structural instability
- Eight(y) mathematical questions on fluids and structures
- A model of synchronisation in crowd dynamics
- Stability analysis in some strongly prestressed rectangular plates
- A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge
- On the Melan equation for suspension bridges
- A qualitative explanation of the origin of torsional instability in suspension bridges
- Oscillations in suspension bridges, vertical and torsional
- Long-time dynamics of a hinged-free plate driven by a nonconservative force
- Large Torsional Oscillations in Suspension Bridges Revisited: Fixing an Old Approximation
- Which Residual Mode Captures the Energy of the Dominating Mode in Second Order Hamiltonian Systems?
- A simplified method for the free vibration and flutter analysis of bridge decks
- The failure of the Tacoma Bridge: A physical model
- On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate
- The action of flexible bridges under wind, I: Flutter theory
- The action of flexible bridges under wind, II: Buffeting theory
- The Differentiability of the Drag with Respect to the Variations of a Lipschitz Domain in a Navier--Stokes Flow
- A Measure of the Torsional Performances of Partially Hinged Rectangular Plates
- Resonance tongues for the Hill equation with Duffing coefficients and instabilities in a nonlinear beam equation
- On optimum design in fluid mechanics
- On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam
- Torsional instability in a nonlinear isolated model for suspension bridges with fixed cables and extensible hangers
- Linear theory for beams with intermediate piers
- On the first frequency of reinforced partially hinged plates
- Optimization of the Structural Performance of Non-homogeneous Partially Hinged Rectangular Plates
- Long-time behavior of partially damped systems modeling degenerate plates with piers
- On optimum profiles in Stokes flow
- Nonlinear Structural Mechanics
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
- Nonlinear Equations for Beams and Degenerate Plates with Piers
- Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation
- Variational formulation of the Melan equation
- Some remarks about a worst-case problem for the torsional response of a plate
- A note on an orthotropic plate model describing the deck of a bridge
- Some solutions of minimaxmax problems for the torsional displacements of rectangular plates
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