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＜電子ブック＞
Mathematical Models for Suspension Bridges : Nonlinear Structural Instability / by Filippo Gazzola
(MS&A, Modeling, Simulation and Applications. ISSN:20375263 ; 15)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
本文言語	英語
大きさ	XXI, 259 p. 81 illus., 48 illus. in color : online resource
著者標目	*Gazzola, Filippo author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical models LCSH:Mechanics, Applied LCSH:Solids LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 FREE:Differential Equations FREE:Mathematical Modeling and Industrial Mathematics FREE:Solid Mechanics FREE:Mathematical and Computational Engineering Applications
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-15434-3

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