Dynamic Stability of Columns under Nonconservative Forces Theory and Experiment /

• Κύριοι συγγραφείς: Sugiyama, Yoshihiko (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Langthjem, Mikael A. (http://id.loc.gov/vocabulary/relators/aut), Katayama, Kazuo (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Solid Mechanics and Its Applications, 255
• Θέματα: Mechanics.; Mechanics, Applied.; Engineering design.; Partial differential equations.; Mathematical physics.; Energy systems.; Solid Mechanics.; Engineering Design.; Partial Differential Equations.; Theoretical, Mathematical and Computational Physics.; Energy Systems.

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 deal...

Πίνακας περιεχομένων:

• Preface
• 1 Fundamentals
• 1.1 Beam and Column
• 1.2 Stability and Stability Criteria
• 1.3 Experiments with Columns
• 1.4 Preliminary Tests
• 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 Interval
• 3.4 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
• 4.4 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 Expressions
• 5.4 Flutter Configurations and Phase Angles 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 Damping
• 6.6 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 Force
• 9.3 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
• 10.5 Flutter Test
• 10.6 Discussion
• References
• 11 Columns under a Rocket-based Follower Force and with a Lumped Mass
• 11.1 Finite Element Formulation and Stability Analysis
• 11.2 Rocket Motors
• 11.3 Estimate of the Effect of a Lumped Mass on the Flutter Limit
• 11.4 Flutter Test
• 11.5 Discussion
• References
• 12 Columns under a Rocket-based Subtangential Follower Force
• 12.1 Mathematical Model and Finite Element Formulation
• 12.2 Rocket Motors
• 12.3 Test Columns
• 12.4 Stability Estimates
• 12.5 Experiment with Columns under a Rocket-based Subtangential Follower Force
• 12.6 Discussion
• References
• 13 Pinned-pinned Columns under a Pulsating Axial Force
• 13.1 The Mathieu Equation
• 13.2 Stability of the Solution to the Mathieu Equation
• 13.3 Pinned-pinned Columns
• 13.4 Vibrations in the Vicinity of Upper and Lower Boundaries I
• 13.5 Vibrations in the Vicinity of Upper and Lower Boundaries II
• 13.6 Effect of a Phase Angle in Excitation
• 13.7 Discussions
• References
• 14 Parametric Resonances of Columns
• 14.1 Mathieu-Hill Equations
• 14.2 Hsu's Approach
• 14.3 Coupled Mathieu Equation of Columns
• 14.4 Hsu's Resonance Conditions
• 14.5 Estimate of the Principal Regions of Resonances
• 14.6 Experiment with Columns Having Clamped-clamped and Clamped-pinned Ends
• 14.7 Columns under a Pulsating Follower Force
• 14.8 Discussion
• References
• 15 Parametric Resonances of Columns with Damping
• 15.1 Approaches to Mathieu-Hill Equations
• 15.2 Hsu's Approach to Coupled Hill Equations
• 15.3 Effect of Damping
• 15.4 Second-order Approximation
• 15.5 Discussion
• References
• 16 Columns under a Pulsating Reut Force
• 16.1 Columns under a Pulsating Generalized Reut Force
• 16.2 Finite Difference Formulation and Stability Analysis
• 16.3 Experiment with Columns under a Pulsating Reut Force
• 16.4 Discussion
• References
• 17 Remarks about Approaches to the Dynamic Stability of Structures
• References
• Appendix: Suggested Exercises. .