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书名: Waves and Wave Forces on Coastal and Ocean Structures
作者: Hudspeth, Robert T.
出版时间: 2006-04-26
ISBN: 9789812386120(P-ISBN) ,9789812774828(O-ISBN)
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摘要:
书目详情:
ContentsPreface1 Introduction2 Mathematical Preliminaries2.1 Introduction2.2 Symbols Functions and Linear Operators2.2.1 Landau Order Symbols 0E) and oE) Nayfeh 1973 Chapter 1.3 and Olver 1990 Chapter 12.1.1)2.2.2 Heaviside Step Function Ux-E)2.2.3 Kronecker Delta 8mn Function and Dirac Delta 8x-E) Distribution2.2.4 Levi-Civita Symbol EijkArfken 1985)2.2.5 Gamma Functions To) Andrews 1985)2.2.6 Error Functions Erfo) and Erfco) Barcilon 1990 p. 351)2.2.7 Gradient Vector Operator Vo)2.2.8 Curl Vector Operator w = V x o)2.2.9 Laplacian Operator V2o) = Ao)2.2.10 Stokes Material Derivative Operator Do)/Dt2.2.11 Leibnitzs Rule for Differentiation of Integrals with Parameters Hildebrand 1976 Chapter 7.9)2.2.12 Signum sign + ) Function2.3 Properties of Series2.3.1 Power Series Hildebrand 1976 Chapter 4.1)2.3.2 Function Series2.3.3 Maclauren and Taylor Series Hildebrand 1976 Chapters 4.1 and 7.5)2.3.4 Binomial Expansion Wylie and Barrett 1982 p.938)2.4 Elementary and Special Functions Hildebrand 1976 Chapter 10.2)2.4.1 Trigonometric and Hyperbolic Identities2.4.2 Eulers Constant yE Barcilon 1990 p. 346)2.4.3 Bessel Functions Hildebrand 1976 Chapters 4.8 to 4.10)2.4.4 Orthogonal Polynomials2.5 Linear Ordinary Differential Equations Hildebrand 1976 Chapters 1.1 to 1.11) and Operational Calculus Friedman 1956)2.5.1 Initial and Boundary Data Stakgold 1979)2.5.2 First Order Linear Ordinary Differential Equations Hildebrand 1976 Chapter 1.4)2.5.3 Variation of Parameters and the Duhamel Convolution Integral Hildebrand 1976 Chapter 1.9)2.5.4 Properties of Linear Differential Operators Lo) Hildebrand 1976 Chapter 1.7)2.5.5 Method of Frobenius Hildebrand 1976 Chapter 4.4)2.5.6 Method of Undetermined Coefficients Hildebrand 1976 Chapter 1.5)2.6 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)3 Fundamentals of Fluid Mechanics3.1 Introduction3.2 Conservation of Mass Continuity Field Equation)3.3 Momentum Principle3.3.1 Inertial Forces3.3.2 Surface Stresses3.3.3 Body Forces3.3.4 Navier-Stokes Equations Lamb 1932)3.3.5 Eulers Equations Lamb 1932)3.4 Mechanical Energy Principle3.5 Scaling of Equations3.6 Dimensional Analyses3.7 Problems4 Long-Crested Linear Wave Theory LWT)4.1 Introduction4.2 Dimensional Boundary Value Problem BVP) for LWT4.3 Solutions to Dimensional Boundary Value Problem BVP) for Long-Crested Linear Wave Theory LWT)4.3.1 Wave Celerity C and Computing the Eigenvalue k from the Frequency Dispersion Equation4.4 Eulerian Kinematic Fields and Lagrangian Particle Displacements4.5 Eulerian Dynamic Fields Energy and Energy Flux Conservation Principles for Long-Crested Linear Waves4.6 Wave Transformations for Long-Crested Progressive Linear Waves: Shoaling and Refraction4.7 Problems5 Wavemaker Theories5.1 Introduction5.2 Planar Wavemakers in a 2D Channel5.2.1 Computation of the Eigenvalues Kn by the Newton-Raphson Method5.2.2 Rate of Decay of Evanescent Eigenmodes: n > 25.2.3 Orthogonality of Orthonormal Eigenfunctions WnKn z/h)5.2.4 Evaluation of Coefficients Cn by Wavemaker Vertical Displacement Xz/h)5.2.5 Determination of Wave Amplitude from Wavemaker Motion5.2.6 Hydrodynamic Pressure Force and Moment Added Mass and Radiation Damping)5.3 Circular Wavemakers5.3.1 Determination of Wave Amplitude from Wavemaker Motion5.3.2 Hydrodynamic Pressure Force and Moment Added Mass and Radiation Damping)5.4 Double-Actuated Wavemaker5.5 Directional Wavemaker5.6 Sloshing Waves in a 2D Wave Channel5.7 Conformal and Domain Mapping of WMBVP5.7.1 Conformal Mapping5.7.2 Domain Mapping5.8 Problems6 Nonlinear Wave Theories6.1 Introduction6.2 Classical Stokes: The Method of Successive Approximations6.3 Traditional Stokes: Lindstedt-Poincare 4th Order Perturbation Solution6.3.1 Traditional Stokes: Stokes Drift6.4 Method of Multiple Scales MMS)26.5 Stream Function Solutions6.6 Breaking Progressive Waves6.7 Second-Order Nonlinear Planar Wavemaker Theory6.8 Chaotic Cross Waves: Generalized Melnikov Method GMM) and Liapunov Exponents6.9 Problems7 Deterministic Dynamics of Small Solid Bodies7.1 Introduction7.2 Small Body Hypothesis Morison Equation)7.3 Drag dFd and Inertia dFm Forces7.3.1 Inertia Forces7.4 Comparison Between a Fixed Cylinder in Accelerating Flow and an Accelerating Cylinder in Still Fluid7.4.1 Accelerating Cylinder in Still Fluid7.4.2 Fixed Cylinder in an Accelerating Flow7.5 Maximum Static-Equivalent Force/Moment Fixed-Free Beam)7.6 Parametric Dependency of Force Coefficients Cm and Cd7.6.1 Relative Importance of dFmzi t) and dFdzi t)7.6.2 Computing the Force Coefficients Cm and Cd7.6.3 Methods of Analyses7.6.4 Linearized Drag Force7.6.5 Laboratory U-Tube Data7.6.6 Ocean Wave Data7.7 The Dean Eccentricity Parameter and Data Condition7.7.1 Dean Error Ellipse and Eccentricity Parameter E Geometric)7.7.2 Amplitude/Phase Method Geometric)7.7.3 Matrix Condition Numbers Numerical)7.8 Modified Wave Force Equation WFE Relative Motion Morison Equation)7.8.1 Articulated Circular Cylindrical Tower: SDOF System7.8.2 Two Semi-Immersed Horizontal Circular Cylinders: MDOF System7.9 Transverse Forces on Bluff Solid Bodies7.10 Stability of Marine Pipelines7.11 Problems8 Deterministic Dynamics of Large Solid Bodies8.1 Dynamic Response of Large Bodies: An Overview8.2 Linearized MDOF Large Solid Body Dynamics8.2.1 Kinematic Body Boundary Conditions KBBC)8.2.2 Dynamic Body Boundary Condition DBBC)8.3 Froude-Kriloff Approximations for Potential Theory8.3.1 Froude-Kriloff Load in 2-D Cartesian Coordinates8.3.2 Froude-Kriloff Load in Circular Cylindrical Coordinates8.4 Diffraction by a Full-Draft Vertical Circular Cylinder8.5 Reciprocity Relationships8.6 Greens Functions and Fredholm Integral Equations8.6.1 Orthonormal Eigenfunction Expansion of Greens Function for 2D Wavemaker8.7 Wave Loads Computed by the FEM8.8 Problems9 Real Ocean Waves9.1 Introduction9.2 Fourier Analyses9.3 Ocean Wave Spectra9.3.1 Generic Four-Parameter Wave Density Spectrum9.3.2 Wave and Spectral Parameters Computed from Spectral Moments mn9.3.3 Multi-Parameter Theoretical Spectra9.3.4 Spectral Directional Spreading Functions9.3.5 Confidence Intervals for FFT Estimates9.4 Probability Functions for Random Waves9.4.1 Gaussian Normal) Probability Distribution9.4.2 Rayleigh Probability Distribution9.4.3 Distribution of the Maxima9.5 Wave Groups9.5.1 Resolving Incident and Reflected Random Wave Time Series9.6 Random Wave Simulations9.6.1 Conditional Wave Simulations9.7 Data Analyses: An Example from Hurricane CARLA9.8 Random Wave Forces on Small Circular Members9.8.1 Probability Density Function pY) pdf) and Covariance Function CFTFTT) for Nondeterministic Wave Force per Unit Length for a Small Vertical Circular Pile9.8.2 Stochastic Response of Space-Frame Offshore Structure9.9 Frequency Domain Input-Output Transfer Functions9.10 ProblemsBibliographyAuthor IndexSubject Index
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