04154nam 22007935 450 991029976080332120250609112011.03-319-15434-610.1007/978-3-319-15434-3(CKB)3710000000416782(EBL)2120602(OCoLC)910513136(SSID)ssj0001501593(PQKBManifestationID)11879167(PQKBTitleCode)TC0001501593(PQKBWorkID)11457047(PQKB)11045160(DE-He213)978-3-319-15434-3(MiAaPQ)EBC2120602(PPN)186031424(MiAaPQ)EBC6241720(EXLCZ)99371000000041678220150522d2015 u| 0engur|n|---|||||txtccrMathematical Models for Suspension Bridges Nonlinear Structural Instability /by Filippo Gazzola1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (274 p.)MS&A, Modeling, Simulation and Applications,2037-5255 ;15Description based upon print version of record.3-319-15433-8 Includes bibliographical references and indexes.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.MS&A, Modeling, Simulation and Applications,2037-5255 ;15Differential equationsDifferential equations, PartialMathematical modelsMechanicsMechanics, AppliedApplied mathematicsEngineering mathematicsOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Differential equations.Differential equations, Partial.Mathematical models.Mechanics.Mechanics, Applied.Applied mathematics.Engineering mathematics.Ordinary Differential Equations.Partial Differential Equations.Mathematical Modeling and Industrial Mathematics.Solid Mechanics.Mathematical and Computational Engineering.003.3Gazzola Filippoauthttp://id.loc.gov/vocabulary/relators/aut477156BOOK9910299760803321Mathematical models for suspension bridges1522578UNINA