Mathematical Models for Suspension Bridges: Nonlinear Structural Instability

✍ Scribed by Filippo Gazzola (auth.)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 274
• Series: MS&A 15
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xxi
Brief History of Suspension Bridges....Pages 1-41
One Dimensional Models....Pages 43-103
A Fish-Bone Beam Model....Pages 105-147
Models with Interacting Oscillators....Pages 149-176
Plate Models....Pages 177-231
Conclusions....Pages 233-237
Back Matter....Pages 239-259

✦ Subjects

Ordinary Differential Equations; Partial Differential Equations; Mathematical Modeling and Industrial Mathematics; Structural Mechanics; Appl.Mathematics/Computational Methods of Engineering