Dynamic Stability of Columns under Nonconservative Forces Theory and Experiment /
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...
Κύριοι συγγραφείς: | , , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
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: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
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. .