LEADER 04604nam 22007455 450 001 9910734848903321 005 20230627114949.0 010 $a3-031-27572-1 024 7 $a10.1007/978-3-031-27572-2 035 $a(CKB)27240716500041 035 $a(MiAaPQ)EBC30611009 035 $a(Au-PeEL)EBL30611009 035 $a(DE-He213)978-3-031-27572-2 035 $a(PPN)272270989 035 $a(EXLCZ)9927240716500041 100 $a20230627d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStability and Bifurcation of Structures $eStatical and Dynamical Systems /$fby Angelo Luongo, Manuel Ferretti, Simona Di Nino 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (712 pages) 311 $a9783031275715 320 $aIncludes bibliographical references and index. 327 $aPhenomenological aspects of the bifurcation of structures -- Linear stability and bifurcation -- Buckling and postbuckling of conservative systems -- The buckling theory of the pre-stressed structures -- Buckling of planar beams -- Buckling of open thin-walled beams -- Buckling of plates and prismatic shells -- Dynamic instability induced by follower forces -- Aeroelastic stability -- Parametric excitation. 330 $aThis book overcomes the separation existing in literature between the static and the dynamic bifurcation worlds. It brings together buckling and post-buckling problems with nonlinear dynamics, the bridge being represented by the perturbation method, i.e., a mathematical tool that allows for solving static and dynamic problems virtually in the same way. The book is organized as follows: Chapter one gives an overview; Chapter two illustrates phenomenological aspect of static and dynamic bifurcations; Chapter three deals with linear stability analysis of dynamical systems; Chapter four and five discuss the general theory and present examples of buckling and post-buckling of elastic structures; Chapter six describes a linearized approach to buckling, usually adopted in the technical literature, in which pre-critical deformations are neglected; Chapters seven to ten, analyze elastic and elasto-plastic buckling of planar systems of beams, thin-walled beams and plate assemblies, respectively; Chapters eleven to thirteen, illustrate dynamic instability phenomena, such as flutter induced by follower forces, aeroelastic bifurcations caused by wind flow, and parametric excitation triggered by pulsating loads. Finally, Chapter fourteen discusses a large gallery of solved problems, concerning topics covered in the book. An Appendix presents the Vlasov theory of open thin-walled beams. The book is devoted to advanced undergraduate and graduate students, as well as engineers and practitioners. The methods illustrated here are immediately applicable to model real problems. The Book Introduces, in a simple way, complex concepts of bifurcation theory, by making use of elementary mathematics Gives a comprehensive overview of bifurcation of linear and nonlinear structures, in static and dynamic fields Contains a chapter in which many problems are solved, either analytically or numerically, and results commented. 606 $aStatics 606 $aMechanics, Applied 606 $aSolids 606 $aBuilding materials 606 $aBuilding construction 606 $aBuildings?Design and construction 606 $aMechanical Statics and Structures 606 $aSolid Mechanics 606 $aEngineering Mechanics 606 $aStructural Materials 606 $aSolid Construction 606 $aBuilding Construction and Design 615 0$aStatics. 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aBuilding materials. 615 0$aBuilding construction. 615 0$aBuildings?Design and construction. 615 14$aMechanical Statics and Structures. 615 24$aSolid Mechanics. 615 24$aEngineering Mechanics. 615 24$aStructural Materials. 615 24$aSolid Construction. 615 24$aBuilding Construction and Design. 676 $a260 676 $a624.171 700 $aLuongo$b Angelo$09603 702 $aFerretti$b Manuel 702 $aDi Nino$b Simona 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910734848903321 996 $aStability and bifurcation of structures$93553027 997 $aUNINA