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Mathematical Models for Suspension Bridges

Nonlinear Structural Instability

Filippo Gazzola (Autor)

Buch | Hardcover

XXI, 259 Seiten

2015
Springer International Publishing (Verlag)
978-3-319-15433-6 (ISBN)

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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.

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

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.

Erscheint lt. Verlag	9.6.2015
Reihe/Serie	MS&A
Zusatzinfo	XXI, 259 p. 81 illus., 48 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	566 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Dynamical Systems • Instability and chaos • nonlinear elasticity • Ordinary Differenatial Equations • Ordinary differential equations • Partial differential equations • Poincaré maps and Hill equation
ISBN-10	3-319-15433-8 / 3319154338
ISBN-13	978-3-319-15433-6 / 9783319154336
Zustand	Neuware