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BL
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| Record Number
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859222
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| Main Entry
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Sugiyama, Yoshihiko
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| Title & Author
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Dynamic stability of columns under nonconservative forces : : theory and experiment /\ Yoshihiko Sugiyama, Mikael A. Langthjem, Kazuo Katayama.
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| Publication Statement
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Cham, Switzerland :: Springer,, 2019.
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| Series Statement
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Solid mechanics and its applications,; volume 255
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| Page. NO
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1 online resource (xiii, 236 pages) :: illustrations (some color)
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| ISBN
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3030005720
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: 9783030005726
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3030005712
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3030005739
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9783030005719
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9783030005733
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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
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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
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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
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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
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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
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| Abstract
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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. Three experiments with cantilevered columns under a rocket-based follower force are described to present the verifiability of nonconservative problems of structural stability. Dynamic stability of columns under pulsating forces is discussed through analog experiments, and by analytical and experimental procedures together with related theories. Throughout the volume the authors retain a good balance between theory and experiments on dynamic stability of columns under nonconservative loading, offering a new window to dynamic stability of structures, promoting student- and scientist-friendly experiments.
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| Subject
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Columns.
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| Subject
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Structural dynamics.
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| Subject
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Columns.
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| Subject
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Structural dynamics.
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| Dewey Classification
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624.1/71
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| LC Classification
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TA654
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| Added Entry
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Katayama, Kazuo
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Langthjem, Mikael A.
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