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Mathematical Models for Suspension Bridges

Nonlinear Structural Instability

  • Book
  • © 2015

Overview

Authors:
  1. Filippo Gazzola

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  • 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

Part of the book series: MS&A (MS&A, volume 15)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Brief History of Suspension Bridges

    • Filippo Gazzola
    Pages 1-41

  3. One Dimensional Models

    • Filippo Gazzola
    Pages 43-103

  4. A Fish-Bone Beam Model

    • Filippo Gazzola
    Pages 105-147

  5. Models with Interacting Oscillators

    • Filippo Gazzola
    Pages 149-176

  6. Plate Models

    • Filippo Gazzola
    Pages 177-231

  7. Conclusions

    • Filippo Gazzola
    Pages 233-237

  8. Back Matter

    Pages 239-259
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Keywords

About this book

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.

Authors and Affiliations

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Filippo Gazzola

About the author

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

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