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Mathematical models for suspension b...

Gazzola, Filippo.

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Mathematical models for suspension bridges = nonlinear structural instability /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical models for suspension bridges/ by 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.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Suspension bridges - Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-15434-3
ISBN:	9783319154343 (electronic bk.)

Mathematical models for suspension bridges = nonlinear 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:

2153484
Suspension bridges
--Mathematical models.

LC Class. No.: TG400

Dewey Class. No.: 624.23015118

Mathematical models for suspension bridges = nonlinear structural instability /
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020 $a 9783319154343 (electronic bk.)
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100 1 $a Gazzola, Filippo. $3 1074061
245 1 0 $a Mathematical models for suspension bridges $h [electronic resource] : $b nonlinear structural instability / $c by Filippo Gazzola.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xxi, 259 p. : $b ill., digital ; $c 24 cm.
490 1 $a MS&A, $x 2037-5255 ; $v v.15
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.
650 0 $a Suspension bridges $x Mathematical models. $3 2153484
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 891089
650 2 4 $a Structural Mechanics. $3 893894
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 890892
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950 $a Mathematics and Statistics (Springer-11649)