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Stability and bifurcation of structuresstatical and dynamical systems /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stability and bifurcation of structuresby Angelo Luongo, Manuel Ferretti, Simona Di Nino.
Reminder of title:	statical and dynamical systems /
Author:	Luongo, Angelo.
other author:	Ferretti, Manuel.
Published:	Cham :Springer International Publishing :2023.
Description:	xvii, 706 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Statics.
Online resource:	https://doi.org/10.1007/978-3-031-27572-2
ISBN:	9783031275722$q(electronic bk.)

Stability and bifurcation of structuresstatical and dynamical systems /
Luongo, Angelo.

Stability and bifurcation of structuresstatical and dynamical systems /[electronic resource] :by Angelo Luongo, Manuel Ferretti, Simona Di Nino. - Cham :Springer International Publishing :2023. - xvii, 706 p. :ill., digital ;24 cm.

Phenomenological 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.

This 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.

ISBN: 9783031275722$q(electronic bk.)

Standard No.: 10.1007/978-3-031-27572-2doiSubjects--Topical Terms:

190295
Statics.

LC Class. No.: TA351 / .L86 2023

Dewey Class. No.: 624.171

Stability and bifurcation of structuresstatical and dynamical systems /
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505 0 $a Phenomenological 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.
520 $a This 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.
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