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Coupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid-Structure Interaction Problem - Softcover
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Inhaltsangabe
1 Introduction.- 2 Integral Equation Formulations of the Exterior Helmholtz Problem.- 2.1 Introduction.- 2.2 Basic Integral Equation Formulations.- 2.2.1 Indirect Integral Equation Formulations of the Exterior Helmholtz Problem.- 2.2.2 Direct Integral Equation Formulations of the Exterior Helmholtz Problem.- 2.3 Basic Integral Equation Theory.- 2.4 Improved Integral Equation Formulations.- 2.4.1 Indirect Formulations.- 2.4.2 The Method of Schenck and Related Direct Formulations.- 2.4.3 The Burton and Miller Formulation.- 2.4.4 Modified Green's Function Formulations.- 2.4.5 Comparison of Approaches.- 3 Numerical Solution of the Exterior Helmholtz Problem.- 3.1 Numerical Methods for Solving Integral Equations.- 3.1.1 Nyström Method.- 3.1.2 Degenerate Kernel Method.- 3.1.3 Projection Methods.- 3.1.4 An Application of the Collocation Method.- 3.2 Surface Representation.- 3.3 Numerical Quadrature.- 3.3.1 Axisymmetric Elements.- 3.3.2 Three-Dimensional Elements.- 3.4 The Choice of the Coupling Parameter.- 3.5 Numerical Results.- 4 The Dynamic Fluid-Structure Interaction Problem.- 4.1 Introduction.- 4.2 Finite Element Analysis of the Structure.- 4.2.1 Finite Element Analysis of an Axisymmetric Structure.- 4.2.2 Finite Element Analysis of a Three-Dimensional Structure.- 4.3 The Coupled Equations of Motion.- 4.4 The Conditioning of the Coupled Equations.- 4.5 Numerical Results.- 5 The Determination of the Response from Sonar Transducers.- 5.1 An Introduction to Piezoelectric Sonar Transducers.- 5.2 Loading on the Structure.- 5.3 Experimental Determination of the Response.- 5.4 Results and Conclusions.- References.- Appendix A. An Analytical Solution for a Hollow Elastic Sphere in an Acoustic Medium.
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