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OverviewThis 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 Full Product DetailsAuthor: Angelo Luongo , Manuel Ferretti , Simona Di NinoPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2023 Weight: 1.456kg ISBN: 9783031275715ISBN 10: 3031275713 Pages: 706 Publication Date: 28 June 2023 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsPhenomenological 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.ReviewsAuthor InformationAngelo Luongo is Professor, DICEAA, University of L’Aquila, Italy. Manuel Ferretti is Associate Professor, DICEAA, University of L’Aquila, Italy. Simona Di Nino is a Research Fellow, DICEAA, University of L’Aquila, Italy. Tab Content 6Author Website:Countries AvailableAll regions |
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