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Dynamic stability of columns under nonconservative forces : theory and experiment

Author: Yoshihiko Sugiyama; Mikael A Langthjem; Kazuo Katayama
Publisher: Cham, Switzerland : Springer, 2019.
Series: Solid mechanics and its applications, v. 255.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book treats dynamic stability of structures under nonconservative forces. It is not a mathematics-based, but rather a dynamics-phenomena-oriented monograph, written with a full experimental background. Starting with fundamentals on stability of columns under nonconservative forces, it then deals with the divergence of Euler's column under a dead (conservative) loading from a view point of dynamic stability.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Sugiyama, Yoshihiko.
Dynamic stability of columns under nonconservative forces.
Cham, Switzerland : Springer, 2019
(OCoLC)1048937617
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Yoshihiko Sugiyama; Mikael A Langthjem; Kazuo Katayama
ISBN: 9783030005726 3030005720
OCLC Number: 1085541071
Description: 1 online resource (xiii, 236 pages) : illustrations (some color)
Contents: Intro; Preface; Contents; 1 Fundamentals; 1.1 Beam and Column; 1.2 Stability and Stability Criteria; 1.3 Experiments with Columns; 1.4 Preliminary Tests; 1.4.1 Deflection Test; 1.4.2 Vibration Test; 1.4.3 Decaying Pendulum Motion Test; 1.4.4 Decaying Beam Motion Test; 1.5 Influence of Support Conditions; 1.6 Nonconservative Forces; 1.7 Discussion; References; 2 Columns under Conservative Forces; 2.1 Cantilevered Columns; 2.2 Pinned-Pinned Columns; 2.3 Standing Cantilevered Columns; 2.4 Discussion; References; 3 Columns under a Follower Force; 3.1 Beck's Column; 3.2 Vibrations of Beck's Column 3.3 Stability in a Finite Time Interval3.4 Character of Beck's Column; 3.5 Nonconservative Nature of a Follower Force; 3.6 Discussion; References; 4 Columns with Damping; 4.1 Cantilevered Columns with Damping; 4.2 Stability Analysis; 4.3 Beck's Column with Damping Introduced; 4.3.1 Internal Damping Only; 4.3.2 External Damping Only; 4.3.3 Both Internal and External Damping; 4.4 Pflüger's Column with Internal Damping; 4.5 Dynamic Responses; 4.6 Discussion; References; 5 Energy Consideration on the Role of Damping; 5.1 Energy Considerations; 5.2 Equation of Motion and Stability Analysis 5.3 Energy Expressions5.3.1 Energy Balance Equations; 5.3.2 Energy Balance at the Critical Force; 5.3.3 Discretized Energy Equations; 5.4 Flutter Configurations and Phase Angle Functions; 5.5 Energy Balance with Small Internal Damping; 5.6 Energy Balance with Both Internal and External Damping; 5.7 Energy Growth Rate; 5.8 Introduction of Small Internal Damping at the Undamped Flutter Bound; 5.9 Discussion; References; 6 Cantilevered Pipes Conveying Fluid; 6.1 Basic Equations of Motion; 6.2 Finite Element Formulation; 6.3 Eigenvalue Branches Related to Flutter; 6.4 Flutter Configurations 6.5 Effect of Internal Damping6.6 Discussion; References; 7 Cantilevered Pipes with a Mechanical Element; 7.1 Pipes with an Elastic Spring; 7.2 Pipes with a Lumped Mass; 7.3 Pipes with a Damper; 7.4 Coefficient of Damping of a Dashpot Damper; 7.5 Discussion; References; 8 Columns under a Follower Force with a Constant Line of Action; 8.1 Reut's Column; 8.2 Stability Analysis of a Generalized Reut's Column; 8.3 Approximate Solution by the Galerkin Method; 8.4 Non-Self-Adjointness of Boundary Value Problems; 8.5 Discussion; References; 9 Generalized Reut's Column; 9.1 Stability Analysis 9.2 Realization of Reut Force9.3 Experimental Setup; 9.4 Experimental Results; 9.5 Reut's Column with a Damper; 9.6 Discussion; References; 10 Columns under a Rocket-Based Follower Force; 10.1 Equation of Motion and Stability Analysis; 10.2 Rocket Motors; 10.3 Test Columns; 10.4 Preliminary Tests; 10.4.1 Test for Bending Stiffness; 10.4.2 Test for Damping Coefficients; 10.4.3 Buckling Test; 10.5 Flutter Test; 10.5.1 Outline of the Test; 10.5.2 Test Runs; 10.5.3 Test Results; 10.5.4 Effect of the Size of the Motor; 10.5.5 Stability in a Finite Time Interval; 10.6 Discussion; References
Series Title: Solid mechanics and its applications, v. 255.
Responsibility: Yoshihiko Sugiyama, Mikael A. Langthjem, Kazuo Katayama.

Abstract:

This book treats dynamic stability of structures under nonconservative forces. Throughout the volume the authors retain a good balance between theory and experiments on dynamic stability of columns  Read more...

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