Time-periodic oscillations in suspension bridges: Existence of unique solutions

DOI10.1016/S0362-546X(99)00105-4zbMath0989.74031WikidataQ128111600 ScholiaQ128111600MaRDI QIDQ5933575

Pavel Drábek, Herbert Leinfelder, Gabriela Tajčová, Juha Berkovits, Vesa Mustonen

Publication date: 28 July 2002

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessboundary value problemwell-posed problemnonlinear beam equationnonlinear oscillationsuspension bridge

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (13)

Asymptotic behaviour of solutions to cable stayed bridge equations ⋮ Existence of infinitely many solutions of a beam equation with non-monotone nonlinearity ⋮ Nonlinear models of suspension bridges: discussion of the results. ⋮ Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems. ⋮ Instability of oscillations in cable-stayed bridges. ⋮ One-dimensional model of a suspension bridge: revision of uniqueness results ⋮ A new model for suspension bridges involving the convexification of the cables ⋮ Loss of energy concentration in nonlinear evolution beam equations ⋮ Torsional asymmetry in suspension bridge systems. ⋮ Torsional instability and sensitivity analysis in a suspension bridge model related to the Melan equation ⋮ Torsional instability in suspension bridges: the Tacoma Narrows Bridge case ⋮ Coupled string-beam equations as a model of suspension bridges. ⋮ Nonlinear models of suspension bridges

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• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Existence, Uniqueness, and Stability of Oscillations in Differential Equations with Asymmetric Nonlinearities
• Schrödinger operators with singular magnetic vector potentials

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