Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems.

DOI10.1023/B:APOM.0000024518.38660.a3zbMath1099.35151MaRDI QIDQ851606

Josef Malík

Publication date: 21 November 2006

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33172

zbMATH Keywords

existenceuniquenesscontinuous dependence on datacable stayed bridgeshomogenization of cable systems

Mathematics Subject Classification ID

Related Items (13)

Asymptotic behaviour of solutions to cable stayed bridge equations ⋮ Random attractors for the stochastic coupled suspension bridge equations of Kirchhoff type ⋮ Nonlinear models of suspension bridges: discussion of the results. ⋮ Instability of oscillations in cable-stayed bridges. ⋮ One-dimensional model of a suspension bridge: revision of uniqueness results ⋮ Equivalence between internal observability and exponential stabilization for suspension bridge problem ⋮ Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping ⋮ Uniform compact attractors for the coupled suspension bridge equations ⋮ Initial-boundary value problem for the nonlinear string-beam system. ⋮ Random attractors for the coupled suspension bridge equations with white noises ⋮ Singular foliations for M-theory compactification ⋮ Nonlinear models of suspension bridges ⋮ Existence of strong solutions and global attractors for the coupled suspension bridge equations

Cites Work

• Large scale oscillatory behaviour in loaded asymmetric systems
• Existence and stability of large scale nonlinear oscillations in suspension bridges
• Periodic oscillations for a nonlinear suspension bridge model
• Coupled string-beam equations as a model of suspension bridges.
• Mathematical models of suspension bridges.
• Mathematical Analysis of Dynamic Models of Suspension Bridges
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Time-periodic oscillations in suspension bridges: Existence of unique solutions
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