Fluid-Structure Interactions - 2nd Edition - ISBN: 9780123973122, 9780123973139

Fluid-Structure Interactions

2nd Edition

Slender Structures and Axial Flow

Authors: Michael Paidoussis
eBook ISBN: 9780123973139
Hardcover ISBN: 9780123973122
Imprint: Academic Press
Published Date: 12th December 2013
Page Count: 888
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The first of two books concentrating on the dynamics of slender bodies within or containing axial flow, Fluid-Structure Interaction, Volume 1 covers the fundamentals and mechanisms giving rise to flow-induced vibration, with a particular focus on the challenges associated with pipes conveying fluid.

This volume has been thoroughly updated to reference the latest developments in the field, with a continued emphasis on the understanding of dynamical behaviour and analytical methods needed to provide long-term solutions and validate the latest computational methods and codes.

In this edition, Chapter 7 from Volume 2 has also been moved to Volume 1, meaning that Volume 1 now mainly treats the dynamics of systems subjected to internal flow, whereas in Volume 2 the axial flow is in most cases external to the flow or annular.

Key Features

  • Provides an in-depth review of an extensive range of fluid-structure interaction topics, with detailed real-world examples and thorough referencing throughout for additional detail
  • Organized by structure and problem type, allowing you to dip into the sections that are relevant to the particular problem you are facing, with numerous appendices containing the equations relevant to specific problems
  • Supports development of long-term solutions by focusing on the fundamentals and mechanisms needed to understand underlying causes and operating conditions under which apparent solutions might not prove effective


Engineers, researchers and graduate students across industries including mechanical, civil, aerospace, material, marine and offshore engineering involved in the analysis, maintenance and design of flexible structures that interact with internal and/or external fluid flow; Specialists in the fields of fluid-structure interaction, flow-induced vibration, dynamics and vibration

Table of Contents

Preface to the Second Edition

Preface to the First Edition


Chapter 1. Introduction


1.1 General overview

1.2 Classification of flow-induced vibrations

1.3 Scope and contents of this book

Chapter 2. Concepts, Definitions and Methods in Fluid-Structure Interactions


2.1 Discrete and distributed parameter systems

2.2 The fluid mechanics of fluid-structure interactions

2.3 Linear and nonlinear dynamics

Chapter 3. Pipes Conveying Fluid: Linear Dynamics I


3.1 Introduction

3.2 The fundamentals

3.3 The equations of motion

3.4 Pipes with supported ends

3.5 Cantilevered pipes

3.6 Systems with added springs, supports, masses and other modifications

3.7 Wave propagation in long pipes

3.8 Articulated pipes

Chapter 4. Pipes Conveying Fluid: Linear Dynamics II


4.1 Introduction

4.2 Nonuniform pipes

4.3 Aspirating pipes

4.4 Short pipes and refined flow modelling

4.5 Pipes with harmonically perturbed flow

4.6 Rotating cantilevered pipes

4.7 Forced vibration

4.8 Applications

4.9 Concluding remarks

Chapter 5. Pipes Conveying Fluid: Nonlinear and Chaotic Dynamics


5.1 Introductory comments

5.2 The nonlinear equations of motion

5.3 Equations for articulated systems

5.4 Methods of solution and analysis

5.5 Pipes with supported ends

5.6 Articulated cantilevered pipes

5.7 Cantilevered pipes

5.8 Chaotic dynamics

5.9 Nonlinear parametric resonances

5.10 Oscillation-Induced Flow

5.11 Concluding Remarks

Chapter 6. Curved Pipes Conveying Fluid


6.1 Introduction

6.2 Formulation of the problem

6.3 Finite element analysis

6.4 Curved pipes with supported ends

6.5 Curved cantilevered pipes

6.6 Curved pipes with an axially sliding end

Chapter 7. Cylindrical Shells Containing or Immersed in Flow: Basic Dynamics


7.1 Introductory remarks

7.2 General dynamical behaviour

7.3 Refinements and diversification

7.4 Wave propagation and acoustic coupling

7.5 Viscous and confinement effects

7.6 Nonlinear dynamics

7.7 Concluding remarks


Appendix A. A First-Principles Derivation of the Equation of Motion of a Pipe Conveying Fluid


Appendix B. Analytical Evaluation of , and


Appendix C. Destabilization by Damping: T. Brooke Benjamin’s Work


Appendix D. Experimental Methods for Elastomer Pipes


D.1 Materials, equipment and procedures

D.2 Short pipes, shells and cylinders

D.3 Flexural rigidity and damping constants

D.4 Measurement of frequencies and damping

Appendix E. The Timoshenko Equations of Motion and Associated Analysis


E.1 The equations of motion

E.2 The eigenfunctions

E.3 The integrals

Appendix F. Some of the Basic Methods of Nonlinear Dynamics


F.1 Lyapunov method

F.2 Centre manifold reduction

F.3 Normal forms

F.4 The method of averaging

F.5 Bifurcation theory and unfolding parameters

F.6 Partial differential equations

Appendix G. Newtonian Derivation of the Nonlinear Equations of Motion of a Pipe Conveying Fluid


G.1 Cantilevered pipe

G.2 Pipe fixed at both ends

Appendix H. Nonlinear Dynamics Theory Applied to a Pipe Conveying Fluid


H.1 Centre manifold

H.2 Normal form

Appendix I. The Fractal Dimension from the Experimental Pipe-Vibration Signal


Appendix J. Detailed Analysis for the Derivation of the Equations of Motion of Chapter 6


J.1 Relationship between and

J.2 The expressions for curvature and twist

J.3 Derivation of the fluid-acceleration vector

J.4 The equations of motion for the pipe

Appendix K. Matrices for the Analysis of an Extensible Curved Pipe Conveying Fluid


Appendix L. Matrices in Hybrid Analytical/Finite-Element Method of Lakis et al.


L.1 Matrices for a cylindrical shell in vacuo

L.2 Matrices associated with fluid flow in a cylindrical shell

Appendix M. Anisotropic Shells


Appendix N. Nonlinear Motions of a Shell Conveying Fluid


N.1 The particular solution,

N.2 The discretized equations of motion




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About the Author

Michael Paidoussis

Michael Païdoussis is the Thomas Workman Emeritus Professor of Mechanical Engineering at McGill University and a Fellow of the Canadian Society for Mechanical Engineering (CSME), the Institution of Mechanical Engineers (IMechE), the American Society of Mechanical Engineers (ASME), the Royal Society of Canada, the Canadian Academy of Engineering and the American Academy of Mechanics (AAM). He is the Founding Editor of the Journal of Fluids and Structures, as of 1986. He has won the ASME Fluids Engineering Award in 1999 and the CANCAM prize in 1995. His principal research interests are in fluid-structure interactions, flow-induced vibrations, aero- and hydroelasticity, dynamics, nonlinear dynamics and chaos, all areas in which he is recognized as a leading expert.

Affiliations and Expertise

Professor Emeritus of Mechanical Engineering, McGill University, Canada, Fellow of the Canadian Society for Mechanical Engineering (CSME), the Institution of Mechanical Engineers (IMechE), the American Society of Mechanical Engineers (ASME) and the American Academy of Mechanics (AAM)