Introduction to Fluid-Structure Interactions

✍ Scribed by Yahya Modarres-Sadeghi

• Publisher: Springer
• Year: 2022
• Tongue: English
• Leaves: 238
• Category: Library

✦ Synopsis

This timely book introduces the subject of Fluid-Structure Interactions (FSI) to students and professionals. It discusses the major ideas in FSI with the goal of providing the fundamental understanding to the readers who possess limited or no understanding of the subject. The author presents the physics of the problem, rather than focusing on the methods, and discusses the essential methods of analysis. The principle goal of Introduction to Fluid-Structure Interactions is impart to students and practitioner a physical understanding of major topics in fluid-structure interactions: axial flow problems (when the direction of the flow is parallel to the long axis of the structure) and crossflow problems (when the direction of the flow is normal to the long axis of the structure). Facilitating readers’ understanding of both categories, starting with simple 1 DOF systems and continuing to more complicated continuous flexible structures, Introduction to Fluid-Structure Interactions, is ideal for graduate students and practitioners interested in this critical field.

• Stands as a unique introductory volume to study Fluid-Structure Interactions (FSI);
• Covers aspects of FSI relevant to Fluid Mechanics, Wind Energy, Ocean Engineering, and Biomedical research;
• Integrates most recent findings from research on FSI;
• Emphasizes the physics behind the phenomena in detail;
• Maximizes readers understanding by beginning with fundamental concepts and developing focus to more complex systems.

✦ Table of Contents

Acknowledgments
Contents
Chapter 1: Introduction
Chapter 2: Flow Around a Fixed Cylinder
1 Introduction
2 Separation and Vortex Shedding
3 Vortex Shedding versus Reynolds Number
4 Strouhal Number
5 Flow Forces on a Fixed Cylinder
5.1 The Mean Flow Forces Acting on a Cylinder
5.2 The Fluctuating Drag and Lift Forces
6 Drag Crisis
Chapter 3: Vibrations of One and Two Degree-of-Freedom Systems
1 Introduction
2 An Undamped System
3 A Damped System
4 Measuring the Structural Damping
5 Harmonic Excitation of Damped Systems
6 Systems with Two Degrees of Freedom
7 Oscillations of a Structure in Otherwise Still Fluid
Chapter 4: Vortex-Induced Vibrations
1 Introduction
2 Vortex-Induced Vibrations of a One-Degree-of-Freedom System
3 The Equation of Motion and the Major Dimensionless Parameters
4 Amplitude and Frequency Responses
5 The Influence of Mass and Damping on the VIV Response
6 Shedding Patterns at Different Reduced Velocities
7 The Added Mass and the Flow-Induced Damping
8 Forced Oscillations of a Cylinder in Flow
9 Modeling VIV
10 VIV in the Inline Direction
11 Two-Degree-of-Freedom VIV
12 Bluff Bodies with Noncircular Cross Sections
Chapter 5: Galloping and Flutter
1 Introduction
2 The Mean Flow Forces Acting on a 1 DOF Bluff Body with a Circular Cross Section
3 1 DOF Oscillations of a Bluff Body with a Noncircular Cross Section
3.1 The Equation of Motion for 1 DOF Galloping
3.2 Dimensionless Equation of Motion for 1 DOF Galloping
3.3 The Criterion for Stability
3.4 The Onset of Instability
3.5 The Flow Forces in Terms of CL and CD
3.6 Linear Stability Analysis
3.7 The Eigenvalue Plots and the Argand Diagram
3.8 Linear Stability Analysis for Galloping
3.9 On the Quasi-Steady Assumption and the Differences Between VIV and Galloping
4 A Streamlined Structure in Flow
4.1 The Equations of Motion for a 2 DOF Airfoil in Flow
4.2 Solving the Equations of Motion and the Possible Instabilities of the System
5 Nonlinear Galloping
5.1 The System´s Response for the Third-Order Model-Supercritical Instability
5.2 A Seventh-Order Model and Subcritical Instability
Chapter 6: Vibrations of Continuous Structures
1 Introduction
2 Linear Equation of Motion for a Beam under External Tension
3 The Natural Frequencies and Mode Shapes of a Beam
4 Example: Deriving the Natural Frequencies and Mode Shapes of a Cantilevered Beam
5 Notes on Mode Shapes and the Final Form of the Beam´s Solution
6 Traveling Waves and the Dispersion Relation
7 The Galerkin Method
Chapter 7: A Flexible Pipe Conveying Fluid
1 Introduction
2 Derivation of a Linear Equation for a Pipe Conveying Fluid
3 Dimensionless Equation and Dimensionless Parameters
4 The Method of Solution for the Linear Pipe Equation
5 Linear Behavior of a Pipe with Supported Ends
6 Linear Behavior of a Cantilevered Pipe
7 Holmes Nonlinear Equation for a Pipe with Supported Ends
8 Solving the Holmes Equation
9 The Post-critical Behavior of a Pipe Supported at Both Ends
10 A Nonlinear Cantilevered Pipe
11 Typical Nonlinear Behavior of a Cantilevered Pipe
12 A Cantilevered Pipe with an End Mass
13 Three-Dimensional Behavior of a Pipe with an End Mass and Observation of Chaos
Chapter 8: A Flexible Cylinder in Axial Flow
1 Introduction
2 Derivation of the Equation of Motion
3 Dimensionless Equation of Motion
4 Method of Solution
5 Linear Behavior of a Cylinder Supported at Both Ends
6 A Cantilevered Cylinder
7 Linear Results for a Cantilevered Cylinder
8 Nonlinear Behavior of a Cantilevered Cylinder
Chapter 9: Vortex-Induced Vibrations of Flexible Beams
1 Introduction
2 A Beam Placed in Otherwise Still Fluid
3 A Beam with a Circular Cross Section Placed in Flow
3.1 General Considerations
3.2 The Form of Equations of Motion
3.3 A Typical Response
3.4 The Wake
3.5 Single-Mode Excitation
3.6 Multi-Modal Excitation
References
Index