عنوان

Fluid-structure interaction :an introduction to finite element coupling

Title Proper

Fluid-structure interaction :an introduction to finite element coupling

Specific Material Designation and Extent of Item

xiv, 283 pages

Text of Note

Includes bibliographical references and index

Text of Note

Jean-Francois Sigrist, DCNS Research, France

Text of Note

Machine generated contents note: Foreword v Preface vii Images Credits ix 1 Fluid-Structure Interaction 1 1.1 A wide variety of problems 2 1.2 Analytical modelling of Fluid-Structure Interactions 3 1.2.1 Potential flow. Inertial coupling 4 1.2.2 Viscous flow. Viscous damping 8 1.2.3 Compressible flow. Radiation damping 01 1.3 Numerical simulation of Fluid-Structure Interactions 41 1.4 Finite element and boundary element methods 42 References 52 2 Structure Finite Elements 72 2.1 Vibrations of an elastic structure 82 2.1.1 Modelling assumptions 82 2.1.2 Equations of motion 63 2.2 Finite Element Method: practical implementation 83 2.2.1 Weighted integral formulation 83 2.2.2 Finite elements 04 2.2.3 Elementary matrices 34 2.2.4 Mass and stiffness matrices 44 2.2.5 Calculating and assembling matrices 94 2.2.6 Modal analysis 45 2.3 Example: bending modes 75 2.3.1 Bending motion of a straight elastic beam 75 2.3.2 Bernoulli beam elements 85 2.3.3 Bending modes 26 2.4 Example : coupled bending/membrane modes 66 2.4.1 Bending and membrane motion of a circular elastic ring 66 2.4.2 Fourier component representation: 0D element 76 2.4.3 Bending/membrane modes 96 References 97 3 Fluid Finite Elements 18 3.1 Fluid flow equations 28 3.2 Compressibility waves 19 3.2.1 Wave equation 19 3.2.2 Boundary conditions 59 3.3 Finite element method 301 3.3.1 Pressure-based formulation 301 3.3.2 Displacement-based formulations 801 3.3.3 Finite element matrices 111 3.4 Boundary element method 311 3.4.1 Green function and Green's integral theorem 311 3.4.2 Interior and exterior problems 411 3.4.3 Direct and indirect boundary element method 611 3.4.4 Boundary element matrices 021 3.5 Example: Sloshing modes 121 3.5.1 Circular reservoir with fluid free surface 121 3.5.2 2D axi-symmetric elements with gravity 421 3.5.3 Sloshing modes 621 3.6 Example: Acoustic modes in an open reservoir 821 3.6.1 Cylindrical acoustic opened cavity 821 3.6.2 2D axi-symmetric elements with compressibility 921 3.6.3 Acoustic modes 031 3.7 Example: Acoustic modes in a closed reservoir 231 3.7.1 Rectangular acoustic closed cavity 231 3.7.2 2D fluid elements with compressibility 431 3.7.3 Acoustic modes 431 3.8 Example: Acoustic radiation in infinite fluid 531 3.8.1 Pulsating ring in infinite acoustic fluid 531 3.8.2 1D axi-symmetric element with radiation condition 731 3.8.3 1D boundary elements 831 3.8.4 Acoustic radiation 141 References 641 4 Inertial Coupling 941 4.1 Mathematical modelling 051 4.2 Added mass matrix 251 4.2.1 Coupling matrix 251 4.2.2 Added mass matrix 451 4.2.3 Inertial effect 651 4.3 Modelling inertial coupling for complex systems: example of tube bundle 361 4.3.1 Analytical models for added mass 461 4.3.2 'Term-to-term' computation of the added mass matrix 461 4.3.3 A homogenisation technique 761 4.4 Examples : inertial effect in bounded domain 871 4.4.1 Analytical calculation of the added mass matrix 871 4.4.2 Numerical computation of the added mass matrix 581 4.5 Example: inertial effect in unbounded domain 191 4.5.1 Elastic ring immersed in a fluid 191 4.5.2 Finite element coupling with infinite element 491 References 002 5 Fluid-Structure Coupling 302 5.1 Modelling assumption 402 5.2 Interior problems: vibro-acoustic and hydro-elastic coupling 502 5.2.1 Non-symmetric formulation 502 5.2.2 Symmetric formulation 802 5.3 Exterior problem: vibro-acoustic 712 5.4 Example: vibro-acoustic coupling and hydro-elastic sloshing 322 5.5 Example: Acoustic damping 132 5.5.1 Analytical modelling 132 5.5.2 Numerical computation 532 References 542 6 Structural Dynamics with Fluid-Structure Interaction 742 6.1 Introduction 842 6.2 Time-domain analysis 052 6.2.1 Direct methods 052 6.2.2 Modal methods 162 6.3 Frequency-domain analysis 172 6.3.1 Direct and modal methods 172 6.3.2 Computation of the projection basis 372 6.4 Example: time-domain analysis 872 6.4.1 Accelerated cantilever beam with fluid coupling 872 6.4.2 System and excitation spectra 182 6.4.3 Seismic response: Direct and modal methods 382 6.5 Example: frequency-domain analysis 982 6.5.1 Acoustic radiation of a damped structure immersed in a fluid 982 6.5.2 Frequency response: Direct and modal methods 392 References 403 Index 703

Entry Element

، Fluid-structure interaction

Entry Element

، Finite element method

Entry Element

، SCIENCE / Mechanics / General

Class number

Entry Element

Sigrist, Jean-Francois

Relator Code

AU

TI