Book contents
- Frontmatter
- Contents
- Prefaces
- Chapter One Introduction
- Chapter Two Mathematical Description of Oscillations
- Chapter Three Interaction between Oscillations and Waves
- Chapter Four Gravity Waves on Water
- Chapter Five Wave–Body Interactions
- Chapter Six Oscillating-Body Wave-Energy Converters
- Chapter Seven Oscillating Water Columns and Other Types of Wave-Energy Converters
- Chapter Eight Wave-Energy Converter Arrays
- Bibliography
- Index
Chapter Two - Mathematical Description of Oscillations
Published online by Cambridge University Press: 12 May 2020
- Frontmatter
- Contents
- Prefaces
- Chapter One Introduction
- Chapter Two Mathematical Description of Oscillations
- Chapter Three Interaction between Oscillations and Waves
- Chapter Four Gravity Waves on Water
- Chapter Five Wave–Body Interactions
- Chapter Six Oscillating-Body Wave-Energy Converters
- Chapter Seven Oscillating Water Columns and Other Types of Wave-Energy Converters
- Chapter Eight Wave-Energy Converter Arrays
- Bibliography
- Index
Summary
Chapter 2 starts by analysing free and forced oscillations in a simple mechanical system, and the method of complex representation of sinusoidal oscillation is introduced, including phasor diagram in the complex plane. Moreover, the concepts of active and reactive power for such a system are introduced. Then the method of state-space analysis is introduced and applied to a linear system. Further, the delta 'function' and other related distributions, as well as Fourier analysis, are introduced and applied to linear systems. Moreover, causal and noncausal systems are considered, as well as Kramers–Kronig relations and the Hilbert transform.
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- Ocean Waves and Oscillating SystemsLinear Interactions Including Wave-Energy Extraction, pp. 6 - 45Publisher: Cambridge University PressPrint publication year: 2020