Stability and Bifurcation of Structures Statical and Dynamical Systems /
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...
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| 格式: | 電子 電子書 |
| 語言: | 英语 |
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Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| 版: | 1st ed. 2023. |
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| 在線閱讀: | https://doi.org/10.1007/978-3-031-27572-2 |
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| 100 | 1 | |a Luongo, Angelo. |e author. |0 (orcid)0000-0003-1426-7825 |1 https://orcid.org/0000-0003-1426-7825 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Stability and Bifurcation of Structures |h [electronic resource] : |b Statical and Dynamical Systems / |c by Angelo Luongo, Manuel Ferretti, Simona Di Nino. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2023. | |
| 300 | |a 1 online resource (XVII, 706 p.). | ||
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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. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Statics. | |
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 0 | |a Solids. | |
| 650 | 0 | |a Building materials. | |
| 650 | 0 | |a Building construction. | |
| 650 | 0 | |a Buildings |x Design and construction. | |
| 650 | 1 | 4 | |a Mechanical Statics and Structures. |
| 650 | 2 | 4 | |a Solid Mechanics. |
| 650 | 2 | 4 | |a Engineering Mechanics. |
| 650 | 2 | 4 | |a Structural Materials. |
| 650 | 2 | 4 | |a Solid Construction. |
| 650 | 2 | 4 | |a Building Construction and Design. |
| 700 | 1 | |a Ferretti, Manuel. |e author. |0 (orcid)0000-0002-7578-6699 |1 https://orcid.org/0000-0002-7578-6699 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Di Nino, Simona. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031275715 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031275739 |
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| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-27572-2 |
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| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||