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Mathematical Models for Suspension B...
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Gazzola, Filippo.
Mathematical Models for Suspension Bridges = Nonlinear Structural Instability /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Mathematical Models for Suspension Bridges/ by Filippo Gazzola.
Reminder of title:
Nonlinear Structural Instability /
Author:
Gazzola, Filippo.
Description:
XXI, 259 p. 81 illus., 48 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Differential equations. -
Online resource:
https://doi.org/10.1007/978-3-319-15434-3
ISBN:
9783319154343
Mathematical Models for Suspension Bridges = Nonlinear Structural Instability /
Gazzola, Filippo.
Mathematical Models for Suspension Bridges
Nonlinear Structural Instability /[electronic resource] :by Filippo Gazzola. - 1st ed. 2015. - XXI, 259 p. 81 illus., 48 illus. in color.online resource. - MS&A, Modeling, Simulation and Applications,152037-5255 ;. - MS&A, Modeling, Simulation and Applications,15.
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
Standard No.: 10.1007/978-3-319-15434-3doiSubjects--Topical Terms:
527664
Differential equations.
LC Class. No.: QA372
Dewey Class. No.: 515.352
Mathematical Models for Suspension Bridges = Nonlinear Structural Instability /
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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.
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