Fluid-Structure Interactions (eBook)

Front Cover 1
Fluid–Structure Interactions: Slender Structures and Axial Flow 4
Copyright Page 5
Contents 6
Preface 12
Artwork Acknowledgments 15
Chapter 1. Introduction 16
1.1 General overview 16
1.2 Classification of flow-induced vibrations 18
1.3 Scope and contents of volume 1 19
1.4 Contents of volume 2 20
Chapter 2. Concepts, Definitions and Methods 21
2.1 Discrete and distributed parameter systems 21
2.2 The fluid mechanics of fluid-structure interactions 38
2.3 Linear and nonlinear dynamics 66
Chapter 3. Pipes Conveying Fluid: Linear Dynamics I 74
3.1 Introduction 74
3.2 The fundamentals 75
3.3 The equations of motion 84
3.4 Pipes with supported ends 103
3.5 Cantilevered pipes 126
3.6 Systems with added springs, supports, masses and other modifications 168
3.7 Long pipes and wave propagation 188
3.8 Articulated pipes 198
Chapter 4. Pipes Conveying Fluid: Linear Dynamics II 211
4.1 Introduction 211
4.2 Nonuniform pipes 211
4.3 Aspirating pipes and ocean mining 228
4.4 Short pipes and refined flow modelling 235
4.5 Pipes with harmonically perturbed flow 257
4.6 Forced vibration 276
4.7 Applications 282
4.8 Concluding remarks 291
Chapter 5. Pipes Conveying Fluid: Nonlinear and Chaotic Dynamics 292
5.1 Introductory comments 292
5.2 The nonlinear equations of motion 293
5.3 Equations for articulated systems 311
5.4 Methods of solution and analysis 314
5.5 Pipes with supported ends 317
5.6 Articulated cantilevered pipes 331
5.7 Cantilevered pipes 343
5.8 Chaotic dynamics 363
5.9 Nonlinear parametric resonances 409
5.10 Oscillation-induced 427
5.11 Concluding remarks 428
Chapter 6. Curved Pipes Conveying Fluid 430
6.1 Introduction 430
6.2 Formulation of the problem 432
6.3 Finite element analysis 445
6.4 Curved pipes with supported ends 452
6.5 Curved cantilevered pipes 467
6.6 Curved pipes with an axially sliding end 474
Appendices 478
A First-principles Derivation of the Equation of Motion of a Pipe Conveying Fluid 478
B Analytical Evaluation of bsr, Csr and dsr 481
C Destabilization by Damping: T. Brooke Benjamin's Work 483
D Experimental Methods for Elastomer Pipes 486
E The Timoshenko Equations of Motion and Associated Analysis 493
F Some of the Basic Methods of Nonlinear Dynamics 498
G Newtonian Derivation of the Nonlinear Equations of Motion of a Pipe Conveying Fluid 517
H Nonlinear Dynamics Theory Applied to a Pipe Conveying Fluid 521
I The Fractal Dimension from the Experimental Pipe-vibration Signal 531
J Detailed Analysis for the Derivation of the Equations of Motion of Chapter 6 537
K Matrices for the Analysis of an Extensible Curved Pipe Conveying Fluid 544
References 546
Index 573
Journal of Fluids and Structures 588