Ocean Waves and Oscillating Systems: Volume 8: Linear Interactions Including Wave-Energy Extraction
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Understand the interaction between ocean waves and oscillating systems with this useful new edition. With a focus on linear analysis of low-amplitude waves, you are provided with a thorough understanding of wave interactions, presented to be easily accessible to non-specialist readers. Topics covered include the background mathematics of oscillations, gravity waves on water, the dynamics of wave-body interactions, and the absorption of wave energy by oscillating bodies and oscillating water columns. Featuring new content throughout, including three new chapters on oscillating-body wave energy converters, oscillating water columns and other types of wave energy converters, and wave energy converter arrays, this book is an excellent resource for students, researchers, and engineers who are new to the subject of wave energy conversion, as well as those with more experience. Contents Prefaces 1 Introduction 2 Mathematical Description of Oscillations 2.1 Free and Forced Oscillations of a Simple Oscillator 2.2 Complex Representation of Harmonic Oscillations 2.3 Power and Energy Relations 2.4 State-Space Analysis 2.5 Linear Systems 2.6 Fourier Transform and Other Integral Transforms Problems 3 Interaction between Oscillations and Waves 3.1 Comparison of Waves on Water with Other Waves 3.2 Dispersion, Phase Velocity and Group Velocity 3.3 Wave Power and Energy Transport 3.4 Radiation Resistance and Radiation Impedance 3.5 Resonance Absorption Problems 4 Gravity Waves on Water 4.1 Basic Equations: Linearisation 4.2 Harmonic Waves on Water of Constant Depth 4.3 Plane Waves: Propagation Velocities 4.4 Wave Transport of Energy and Momentum 4.5 Real Ocean Waves 4.6 Circular Waves 4.7 A Useful Integral Based on Green’s Theorem 4.8 Far-Field Coefficients and Kochin Functions 4.9 Waves in the Time Domain Problems 5 Wave–Body Interactions 5.1 Six Modes of Body Motion: Wave Forces and Moments 5.2 Radiation from an Oscillating Body 5.3 Impulse Response Functions in Hydrodynamics 5.4 Reciprocity Relations 5.5 Several Bodies Interacting with Waves 5.6 The Froude–Krylov Force and Small-Body Approximation 5.7 Axisymmetric Oscillating System 5.8 Two-Dimensional System 5.9 Motion Response Problems 6 Oscillating-Body Wave-Energy Converters 6.1 Wave Absorption as Wave Interference 6.2 WEC Body Oscillating in One Mode 6.3 Optimum Control of a WEC Body 6.4 The Budal Upper Bound (BUB) 6.5 Several WEC-Body Modes Problems 7 Oscillating Water Columns and Other Types of Wave-Energy Converters 7.1 Oscillating Water Column WECs 7.2 WEC Bodies Oscillating in Unconventional Modes of Motion Problems 8 Wave-Energy Converter Arrays 8.1 WEC Array Consisting of Several Bodies 8.2 WEC Array of Oscillating Bodies and OWCs 8.3 Two-Dimensional WEC Body Problems Bibliography Index
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