| Preface | p. xv |
| Introduction | p. 1 |
| Mathematical Preliminaries | p. 5 |
| Introduction | p. 5 |
| Symbols, Functions and Linear Operators | p. 5 |
| Landau Order Symbols O([epsilon]) and o([epsilon]) (Nayfeh, 1973, Chapter 1.3 and Olver, 1990, Chapter 12.1.1) | p. 5 |
| Heaviside Step Function U(x - [xi]) | p. 7 |
| Kronecker Delta [delta subscript mn] Function and Dirac Delta [delta](x - [xi]) Distribution | p. 7 |
| Levi-Civita Symbol [epsilon subscript ijk] (Arfken, 1985) | p. 7 |
| Gamma Functions [Gamma] ([middle dot]) (Andrews, 1985) | p. 8 |
| Error Functions Erf([middle dot]) and Erfc([middle dot]) (Barcilon, 1990, p. 351) | p. 9 |
| Gradient Vector Operator [characters not reproducible] | p. 10 |
| Curl Vector Operator [characters not reproducible] | p. 10 |
| Laplacian Operator [characters not reproducible] | p. 11 |
| Stokes Material Derivative Operator D([middle dot])/Dt | p. 11 |
| Leibnitz's Rule for Differentiation of Integrals with Parameters (Hildebrand, 1976, Chapter 7.9) | p. 13 |
| Signum (sign [plus or minus]) Function | p. 13 |
| Properties of Series | p. 13 |
| Power Series (Hildebrand, 1976, Chapter 4.1) | p. 13 |
| Function Series | p. 14 |
| Maclauren and Taylor Series (Hildebrand, 1976, Chapters 4.1 and 7.5) | p. 15 |
| Binomial Expansion (Wylie and Barrett, 1982, p. 938) | p. 17 |
| Elementary and Special Functions (Hildebrand, 1976, Chapter 10.2) | p. 18 |
| Trigonometric and Hyperbolic Identities | p. 18 |
| Euler's Constant [gamma subscript E] (Barcilon, 1990, p. 346) | p. 20 |
| Bessel Functions (Hildebrand, 1976, Chapters 4.8 to 4.10) | p. 21 |
| Orthogonal Polynomials | p. 26 |
| Linear Ordinary Differential Equations (Hildebrand, 1976, Chapters 1.1 to 1.11) and Operational Calculus (Friedman, 1956) | p. 31 |
| Initial and Boundary Data (Stakgold, 1979) | p. 32 |
| First Order Linear Ordinary Differential Equations (Hildebrand, 1976, Chapter 1.4) | p. 34 |
| Variation of Parameters and the Duhamel Convolution Integral (Hildebrand, 1976, Chapter 1.9) | p. 35 |
| Properties of Linear Differential Operators L([middle dot]) (Hildebrand, 1976, Chapter 1.7) | p. 39 |
| Method of Frobenius (Hildebrand, 1976, Chapter 4.4) | p. 40 |
| Method of Undetermined Coefficients (Hildebrand, 1976, Chapter 1.5) | p. 45 |
| Sturm-Liouville Systems (Morse and Feshbach, 1953, Chapter 6.3; Hildebrand, 1976, Chapter 5.6; Oates, 1990, Chapter 3.6.5 and Benton, 1990, Chapter 6.6) | p. 48 |
| Fundamentals of Fluid Mechanics | p. 53 |
| Introduction | p. 53 |
| Conservation of Mass (Continuity Field Equation) | p. 55 |
| Momentum Principle | p. 57 |
| Inertial Forces | p. 58 |
| Surface Stresses | p. 63 |
| Body Forces | p. 69 |
| Navier-Stokes Equations (Lamb, 1932) | p. 69 |
| Euler's Equations (Lamb, 1932) | p. 70 |
| Mechanical Energy Principle | p. 70 |
| Scaling of Equations | p. 71 |
| Dimensional Analyses | p. 81 |
| Problems | p. 84 |
| Long-Crested, Linear Wave Theory (LWT) | p. 85 |
| Introduction | p. 85 |
| Dimensional Boundary Value Problem (BVP) for LWT | p. 87 |
| Solutions to Dimensional Boundary Value Problem (BVP) for Long-Crested, Linear Wave Theory (LWT) | p. 97 |
| Wave Celerity C and Computing the Eigenvalue k from the Frequency Dispersion Equation | p. 105 |
| Eulerian Kinematic Fields and Lagrangian Particle Displacements | p. 113 |
| Eulerian Dynamic Fields, Energy and Energy Flux Conservation Principles for Long-Crested Linear Waves | p. 121 |
| Wave Transformations for Long-Crested, Progressive Linear Waves: Shoaling and Refraction | p. 140 |
| Problems | p. 144 |
| Wavemaker Theories | p. 149 |
| Introduction | p. 149 |
| Planar Wavemakers in a 2D Channel | p. 154 |
| Computation of the Eigenvalues K[subscript n] by the Newton-Raphson Method | p. 170 |
| Rate of Decay of Evanescent Eigenmodes: n [greater than or equal] 2 | p. 176 |
| Orthogonality of Orthonormal Eigenfunctions [Psi subscript n] (K[subscript n], z/h) | p. 177 |
| Evaluation of Coefficients C[subscript n] by Wavemaker Vertical Displacement x(z/h) | p. 180 |
| Determination of Wave Amplitude from Wavemaker Motion | p. 185 |
| Hydrodynamic Pressure Force and Moment (Added Mass and Radiation Damping) | p. 189 |
| Circular Wavemakers | p. 201 |
| Determination of Wave Amplitude from Wavemaker Motion | p. 219 |
| Hydrodynamic Pressure Force and Moment (Added Mass and Radiation Damping) | p. 231 |
| Double-Actuated Wavemaker | p. 242 |
| Directional Wavemaker | p. 251 |
| Sloshing Waves in a 2D Wave Channel | p. 268 |
| Conformal and Domain Mapping of WMBVP | p. 279 |
| Conformal Mapping | p. 280 |
| Domain Mapping | p. 301 |
| Problems | p. 306 |
| Nonlinear Wave Theories | p. 309 |
| Introduction | p. 309 |
| Classical Stokes: The Method of Successive Approximations | p. 310 |
| Traditional Stokes: Lindstedt-Poincare 4th Order Perturbation Solution | p. 316 |
| Traditional Stokes: Stokes Drift | p. 361 |
| Method of Multiple Scales (MMS) | p. 371 |
| Stream Function Solutions | p. 394 |
| Breaking Progressive Waves | p. 400 |
| Second-Order Nonlinear Planar Wavemaker Theory | p. 405 |
| Chaotic Cross Waves: Generalized Melnikov Method (GMM) and Liapunov Exponents | p. 423 |
| Problems | p. 492 |
| Deterministic Dynamics of Small Solid Bodies | p. 495 |
| Introduction | p. 495 |
| Small Body Hypothesis (Morison Equation) | p. 498 |
| Drag dF[subscript d] and Inertia dF[subscript m] Forces | p. 505 |
| Inertia Forces | p. 508 |
| Comparison Between a Fixed Cylinder in Accelerating Flow and an Accelerating Cylinder in Still Fluid | p. 509 |
| Accelerating Cylinder in Still Fluid | p. 510 |
| Fixed Cylinder in an Accelerating Flow | p. 510 |
| Maximum Static-Equivalent Force/Moment (Fixed-Free Beam) | p. 515 |
| Parametric Dependency of Force Coefficients C[subscript m] and C[subscript d] | p. 520 |
| Relative Importance of dF[subscript m](z[subscript i], t) and dF[subscript d](z[subscript i], t) | p. 520 |
| Computing the Force Coefficients C[subscript m] and C[subscript d] | p. 522 |
| Methods of Analyses | p. 524 |
| Linearized Drag Force | p. 530 |
| Laboratory U-Tube Data | p. 532 |
| Ocean Wave Data | p. 535 |
| The Dean Eccentricity Parameter and Data Condition | p. 538 |
| Dean Error Ellipse and Eccentricity Parameter E (Geometric) | p. 541 |
| Amplitude/Phase Method (Geometric) | p. 548 |
| Matrix Condition Numbers (Numerical) | p. 555 |
| Modified Wave Force Equation (WFE, Relative Motion Morison Equation) | p. 559 |
| Articulated Circular Cylindrical Tower: SDOF System | p. 563 |
| Two Semi-Immersed Horizontal Circular Cylinders: MDOF System | p. 573 |
| Transverse Forces on Bluff Solid Bodies | p. 599 |
| Stability of Marine Pipelines | p. 605 |
| Problems | p. 615 |
| Deterministic Dynamics of Large Solid Bodies | p. 619 |
| Dynamic Response of Large Bodies: An Overview | p. 619 |
| Linearized MDOF Large Solid Body Dynamics | p. 636 |
| Kinematic Body Boundary Conditions (KBBC) | p. 638 |
| Dynamic Body Boundary Conditions (DBBC) | p. 643 |
| Froude-Kriloff Approximations for Potential Theory | p. 662 |
| Froude-Kriloff Load in 2-D Cartesian Coordinates | p. 663 |
| Froude-Kriloff Load in Circular Cylindrical Coordinates | p. 667 |
| Diffraction by a Full-Draft Vertical Circular Cylinder | p. 672 |
| Reciprocity Relationships | p. 682 |
| Green's Functions and Fredholm Integral Equations | p. 688 |
| Orthonormal Eigenfunction Expansion of Green's Function for 2D Wavemaker | p. 699 |
| Wave Loads Computed by the FEM | p. 706 |
| Problems | p. 716 |
| Real Ocean Waves | p. 719 |
| Introduction | p. 719 |
| Fourier Analyses | p. 720 |
| Ocean Wave Spectra | p. 730 |
| Generic Four-Parameter Wave Density Spectrum | p. 740 |
| Wave and Spectral Parameters Computed from Spectral Moments m[subscript n] | p. 747 |
| Multi-Parameter Theoretical Spectra | p. 752 |
| Spectral Directional Spreading Functions | p. 754 |
| Confidence Intervals for FFT Estimates | p. 759 |
| Probability Functions for Random Waves | p. 760 |
| Gaussian (Normal) Probability Distribution | p. 765 |
| Rayleigh Probability Distribution | p. 772 |
| Distribution of the Maxima | p. 780 |
| Wave Groups | p. 790 |
| Resolving Incident and Reflected Random Wave Time Series | p. 803 |
| Random Wave Simulations | p. 808 |
| Conditional Wave Simulations | p. 813 |
| Data Analyses: An Example from Hurricane CARLA | p. 823 |
| Random Wave Forces on Small Circular Members | p. 831 |
| Probability Density Function p(Y) (pdf) and Covariance Function [characters not reproducible]([tau]) for Nondeterministic Wave Force per Unit Length for a Small Vertical Circular Pile | p. 832 |
| Stochastic Response of Space-Frame Offshore Structure | p. 843 |
| Frequency Domain Input-Output Transfer Functions | p. 854 |
| Problems | p. 864 |
| Bibliography | p. 867 |
| Author Index | p. 909 |
| Subject Index | p. 917 |
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