Fluid-structure interactions.

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. 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.Previous edition: London: AP Professional, 1998.Includes bibliographical references and index.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. 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.Print version record.Ch. 1 Introduction -- 1.1. General overview -- 1.2. Classification of flow-induced vibrations -- 1.3. Scope and contents of this book -- ch. 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 -- ch. 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 -- ch. 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 -- ch. 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 -- ch. 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 -- ch. 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 -- Epilogue -- Appendix A A First-Principles Derivation of the Equation of Motion of a Pipe Conveying Fluid -- Appendix B Analytical Evaluation of bsr1 Csr and dsr -- 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 Ikn -- 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 (Xo, Yo, Zo and x, y, z) -- 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, Fp -- N.2. The discretized equations of motion.Elsevie

Nonlinear stability of circular cylindrical shells in axially flowing fluid

The stability of supported, circular cylindrical shells in compressible, inviscid axial flow is investigated. Nonlinearities due to large amplitude shell motion are considered by using the nonlinear Donnell shallow shell theory and the effect of viscous structural damping is taken into account. Two different in-plane constraints are applied to the shell edges: zero axial force and zero axial displacement; the other boundary conditions are those for simply supported shells. Linear potential flow theory is applied to describe the fluid-structure interaction. Both annular and unbounded external flow are considered by using two different sets of boundary conditions for the flow beyond the shell length: (i) a flexible wall of infinite extent in the longitudinal direction, and (ii) rigid extensions of the shell (baffles). The system is discretised by Galerkin projections and is investigated by using a model involving seven degrees of freedom, allowing for travelling wave response of the shell and shell axisymmetric contraction. Results for both annular and unbounded external flow show that the system loses stability by divergence through strongly subcritical bifurcations. Jumps to bifurcated positions can happen much before the onset of instability predicted by linear theories, showing the necessity of a nonlinear study