流体结构动力耦合作用（英文版）

List of Principal Symbols

Chapter 1　Introduction

1.1　Background

1.2　Objectives

1.3　Procedures

1.4　Outline of book

Chapter 2　Theoretical model I： elastic tubes conveying steady fluid flow

2.1　Introduction

2.2　Review of previous work

2.3　Basic assumptions and description

2.4　Finite element model development

2.4.1　Order of magnitude analysis

2.4.2　The dynamic equilibrium equation

2.5　Numerical solution

2.5.1　Dynamic response

2.5.2　Eigenvalues and eigenvectors

2.6　Analytical model

2.7　Numerical results

2.8　Conclusions

Chapter 3　Theoretical model H： elastic tubes conveying steady fluid flow

3.1　Introduction

3.2　Model formulation

3.3　A numerical example

3.4　Conclusions

Chapter 4　Theoretical model IH： viscoelastic tubes conveying steady fluid flow

4.1　Introduction

4.2　Finite element model of the system

4.2.1　The e]astic finite element model

4.2.2　Viscoelastic material properties

4.2.3　Single-degree-of-freedom viscoelastic system

4.2.4　Multi-degree-of-freedom viscoelastic system

4.3　A numerical example

4.4　Conclusions

Chapter 5　Experimental model I： tubes conveying steady fluid flow

5.1　Introduction

5.2　Experimental set-up

5.2.1　Hydraulic piping system

5.2.2　Exciting system

5.2.3　Sensing system

5.2.4　Data acquisition and processing system

5.3　Experimental procedures and analysis

5.3.1　Experimental procedures

5.3.2　Experimental analysis

5.4　Experimental measurement range

5.5　Experimental uncertainty

5.6　Experimental results

5.7　Conclusions

Chapter 6　Comparison of experiment and theory： tubes conveying steady fluid flow

6.1　Introduction

6.2　Experimental and theoretical investigation

6.2.1　Experiment

6.2.2　Theory

6.3　Comparison of measured and predicted dynamic response

6.3.1　Effect of initial axial tensions

6.3.2　Effect of flow velocities

6.4　Comparison of measured and predicted natural frequencies

6.4.1　 Effect of initial axial tensions

6.4.2　Effect of flow velocities

6.5　Conclusions

Chapter 7　Theoretical model IV： Thin cylindrical shells conveying steady inviscid fluid flow

7.1　Introduction

7.2　Overview of previous work

7.3　Governing equations

7.3.1　Shell equations

7.3.2　Fluid equations

7.4　The method of solution

7.5　Numerical examples

7.5.1　Convergence analysis

7.5.2　Model validation

7.5.3　Effect of initial axial tensions

7.5.4　Effect of hydrostatic pressures

7.5.5　Effect of the flow velocities

7.5.6　Effect of geometric properties

7.5.7　Effect of material properties

7.6　Conclusions

Chapter 8　Theoretical model V： thick cylindrical shells conveying steady inviscid fluid flow

8.1　Introduction

8.2　Overview of previous work

8.3　Formulation of the problem

8.3.1　The shell equation

8.3.2　The fluid equation

8.3.3　Boundary conditions

8.4　Method of solution

8.4.1　Shell domain

8.4.2　Fluid domain

8.4.3　Coupling equation

8.5　Results and discussion

8.5.1　Convergence analysis

8.5.2　Model validation

8.5.3　Effect of flow velocities

8.5.4　Effect of supported conditions

8.5.5　Effect of material properties

8.6　Conclusions

Chapter 9　Comparative study of axisymmetrica thin cylindrical shells containing fluid

9.1　Introduction

9.2　Elemental mass and stiffness matrices

9.2.1　Cylindrical frustum elements

9.2.1.1　Frustum elements based on the Sanders shell theory

9.2.1.2　Frustum elements based on the combination of the Sanders shell theory and FEM

9.2.2　Isoparametric axisymmetrical shell elements

9.3　Free vibration of axisymmetrical shells containing fluid

9.4　Numerical examples

9.5　Conclusions

Chapter 10　Theoretical model VI： cylindrical shells conveying steady viscous fluid flow

10.1　Introduction

10.2　Overview of previous work

10.3　Governing equations

10.3.1　The Navier-Stokes equations

10.3.2　Shell equation

10.3.3　Boundary conditions

10.4　Finite element formulation

10.5　Fluid-structure coupling

10.6　Results and discussion

10.7　Conclusions

Chapter 11　Theoretical model VII： tubes conveying pulsatile viscous fluid flow

11.1　Introduction

11.2　Model formulation

11.3　Methods of solution

11.3.1　Numerical solution I

11.3.1.1　FDM

11.3.1.2　MOC

11.3.1.3　The combination of FDM and MOC

11.3.2　Numerical solution II

11.3.2.1　FEM

11.3.2.2　MOC

11.4　Numerical examples

11.4.1　Large wave speeds

11.4.2　Small wave speeds

11.5　Conclusions

11.5.1　Large wave speeds

11.5.2　Small wave speeds

Chapter 12　Experimental model II ： tubes conveying pulsatile fluid flow

12.1　Introduction

12.2　Experimental set-up and procedures

12.2.1　Pulsatile flow system

12.2.2　Instrumentation

12.2.3　Experimental procedures

12.3　Experimental analysis

12.4　Comparisons of measured and predicted results

12.5　Conclusions

Chapter 13　Analysis of transient flow in pipelines with fluid-structure interaction

13.1　Introduction

13.2　Physical model

13.3　Method of solution

13.4　Numerical results

13.4.1　Validation

13.4.2　Damping mechanisms

13.4.3　Effect of Tc

13.5　Conclusions

Chapter 14　Transient flow in rapidly filling air-entrapped pipelines

14.1　Introduction

14.2　Formulation of the problem

14.2.1　Fluid domain

14.2.2　Entrapped air domain

14.3　Coordinate transformation and scaling

14.4　Method of solution

14.5　Numerical results and discussion

14.6　Conclusions

Chapter 15　Theoretical study on charging-up process in pipelines with entrapped air

15.1　Introduction

15.2　Mathematical model

15.3　Method of solution

15.4　Numerical results

15.5　Conclusions

References

Appendix 1　Characteristic equations and the Bessel function

Appendix 2　Isoparametric elements