LEADER 04154nam 22007935 450 001 9910299760803321 005 20250609112011.0 010 $a3-319-15434-6 024 7 $a10.1007/978-3-319-15434-3 035 $a(CKB)3710000000416782 035 $a(EBL)2120602 035 $a(OCoLC)910513136 035 $a(SSID)ssj0001501593 035 $a(PQKBManifestationID)11879167 035 $a(PQKBTitleCode)TC0001501593 035 $a(PQKBWorkID)11457047 035 $a(PQKB)11045160 035 $a(DE-He213)978-3-319-15434-3 035 $a(MiAaPQ)EBC2120602 035 $a(PPN)186031424 035 $a(MiAaPQ)EBC6241720 035 $a(EXLCZ)993710000000416782 100 $a20150522d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Models for Suspension Bridges $eNonlinear Structural Instability /$fby Filippo Gazzola 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (274 p.) 225 1 $aMS&A, Modeling, Simulation and Applications,$x2037-5255 ;$v15 300 $aDescription based upon print version of record. 311 08$a3-319-15433-8 320 $aIncludes bibliographical references and indexes. 327 $a1 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. 330 $aThis work provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges. In order to deduce some experimental data and rules on the behavior of suspension bridges, a number of historical events are first described, in the course of which several questions concerning their stability naturally arise. The book then surveys conventional mathematical models for suspension bridges and suggests new nonlinear alternatives, which can potentially supply answers to some stability questions. New explanations are also provided, based on the nonlinear structural behavior of bridges. All the models and responses presented in the book employ the theory of differential equations and dynamical systems in the broader sense, demonstrating that methods from nonlinear analysis can allow us to determine the thresholds of instability. 410 0$aMS&A, Modeling, Simulation and Applications,$x2037-5255 ;$v15 606 $aDifferential equations 606 $aDifferential equations, Partial 606 $aMathematical models 606 $aMechanics 606 $aMechanics, Applied 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 615 0$aDifferential equations. 615 0$aDifferential equations, Partial. 615 0$aMathematical models. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aSolid Mechanics. 615 24$aMathematical and Computational Engineering. 676 $a003.3 700 $aGazzola$b Filippo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477156 906 $aBOOK 912 $a9910299760803321 996 $aMathematical models for suspension bridges$91522578 997 $aUNINA