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Mathematical Models for Suspension Bridges

Nonlinear Structural Instability

  • Filippo Gazzola

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

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Filippo Gazzola
    Pages 1-41
  3. Filippo Gazzola
    Pages 43-103
  4. Filippo Gazzola
    Pages 105-147
  5. Filippo Gazzola
    Pages 149-176
  6. Filippo Gazzola
    Pages 177-231
  7. Filippo Gazzola
    Pages 233-237
  8. Back Matter
    Pages 239-259

About this book

Introduction

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.

Keywords

Dynamical systems Instability and chaos Nonlinear elasticity Ordinary Differenatial Equations Partial Differential Equations Poincaré maps and Hill equation

Authors and affiliations

  • Filippo Gazzola
    • 1
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-15434-3
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-15433-6
  • Online ISBN 978-3-319-15434-3
  • Series Print ISSN 2037-5255
  • Series Online ISSN 2037-5263
  • Buy this book on publisher's site