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Mathematical models for suspension b...

Gazzola, Filippo.

Mathematical models for suspension bridges[electronic resource] :nonlinear structural instability /

レコード種別:	コンピュータ・メディア : 単行資料
[NT 15000414] null:	624.23015118
タイトル / 著者:	Mathematical models for suspension bridges : nonlinear structural instability // by Filippo Gazzola.
著者:	Gazzola, Filippo.
出版された:	Cham : : Springer International Publishing :, 2015.
記述:	xxi, 259 p. : : ill., digital ;; 24 cm.
含まれています:	Springer eBooks
主題:	Suspension bridges - Mathematical models.
主題:	Mathematics.
主題:	Ordinary Differential Equations.
主題:	Partial Differential Equations.
主題:	Mathematical Modeling and Industrial Mathematics.
主題:	Structural Mechanics.
主題:	Appl.Mathematics/Computational Methods of Engineering.
国際標準図書番号 (ISBN) :	9783319154343 (electronic bk.)
国際標準図書番号 (ISBN) :	9783319154336 (paper)
[NT 15000228] null:	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.
[NT 15000229] null:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-15434-3

Mathematical models for suspension bridges[electronic resource] :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.11..

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:

626557
Suspension bridges
--Mathematical models.

LC Class. No.: TG400

Dewey Class. No.: 624.23015118

Mathematical models for suspension bridges[electronic resource] :nonlinear structural instability /
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245 1 0 $a Mathematical models for suspension bridges $h [electronic resource] : $b nonlinear structural instability / $c by Filippo Gazzola.
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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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650 2 4 $a Partial Differential Equations. $3 464931
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 463922
650 2 4 $a Structural Mechanics. $3 464584
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 463859
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950 $a Mathematics and Statistics (Springer-11649)

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http://dx.doi.org/10.1007/978-3-319-15434-3

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