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Mathematical models for suspension b...

Gazzola, Filippo.

Mathematical models for suspension bridgesnonlinear structural instability /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical models for suspension bridgesby Filippo Gazzola.
Reminder of title:	nonlinear structural instability /
Author:	Gazzola, Filippo.
Published:	Cham :Springer International Publishing :2015.
Description:	xxi, 259 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Suspension bridgesMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-15434-3
ISBN:	9783319154343 (electronic bk.)

Mathematical models for suspension bridgesnonlinear structural instability /
Gazzola, Filippo.

Mathematical models for suspension bridgesnonlinear structural instability /[electronic resource] :by Filippo Gazzola. - Cham :Springer International Publishing :2015. - xxi, 259 p. :ill., digital ;24 cm. - MS&A,v.152037-5255 ;. - MS&A ;v.10..

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.

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.

ISBN: 9783319154343 (electronic bk.)

Standard No.: 10.1007/978-3-319-15434-3doiSubjects--Topical Terms:

725085
Suspension bridges
--Mathematical models.

LC Class. No.: TG400

Dewey Class. No.: 624.23015118

Mathematical models for suspension bridgesnonlinear structural instability /
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505 0 $a 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.
520 $a 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.
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