CONTENTS
vii
Jumps, 126
Subharmonics, 129
5.6 Nonlinear Responses for a SALM Buoy, 131
Physical Description and Dynamic Model, 132
Numerical Results and Conclusions, 136
Problems, 138
Référencés, 142
6
Statistical Descriptions of Offshore Waves
Bruce J. Muga
6.1 Introduction to Wave Spectra, 144
6.2 Concept of the Significant Wave, 147
Wave Height Distributions, 148
Wave Height-Wave Spectrum Relationships, 150
6.3 Descriptions of Wave Energy Spectra, 152
Alternative Définitions, 152
Empirical Forms, 154
6.4 Sélection of Design Wave Spectra, 156
6.5 Synthesis of Time Historiés from Spectra, 159
References, 162
7
Statistical Responses for Single Degree
of Freedom Linear Structures
James F. Wilson
7.1 Averages and Probabilities, 166
7.2 Stationary and Ergodic Hypothèses, 169
7.3 Autocorrélation and Spectral Density, 172
7.4 Structural Response Statistics: Part I, 173
The Fourier Transform, 174
The Autocorrélation Functions, 175
Response Parameters, 176
Approximate Responses, 180
Extensions, 182
7.5 Structural Response Statistics: Part II, 183
State Variable Form, 184
Covariance Propagation Equation: Dérivation, 185
Steady State Solutions, 187
A Closed Form Solution, 188
Problems, 190
References, 193
8
Multi-Degree of Freedom Linear Structures
James F. Wilson
8.1 Equations of Motion: General Form, 196
144
165
195