Mathematical Models for Suspension Bridges

This work provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges. In order to deduce some experimental data and rules on the behavior of suspension bridges, a number of historical events are first described, in the course of which several questions concerning their stability naturally arise. The book then surveys conventional mathematical models for suspension bridges and suggests new nonlinear alternatives, which can potentially supply answers to some stability questions. New explanations are also provided, based on the nonlinear structural behavior of bridges. All the models and responses presented in the book employ the theory of differential equations and dynamical systems in the broader sense, demonstrating that methods from nonlinear analysis can allow us to determine the thresholds of instability.

Emphasizes the role of the nonlinearities in modeling and in creating internal resonances Offers a unique update of the mathematical theories of suspension bridges Provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges Includes supplementary material: sn.pub/extras

Autorentext
Prof. Filippo Gazzola, Department of Mathematics, Politecnico di Milano, Italy.

Inhalt
1 Book overview.- 2 Brief history of suspension bridges.- 3 One dimensional models.- 4 A fish-bone beam model.- 5 Models with interacting oscillators.- 6 Plate models.- 7 Conclusions.