Stochastically excited ocean structures

Stabilization and stochastic bifurcation with application to nonlinear ocean structures. Controlling chaos in temporally varying environments and applications to engineering systems. Modelling of nonlinear ocean systems. A methodology for analysis and design of sensitive nonlinear ocean systems. Failures of stochastically excited systems. Extremes and high level exceedances of stationary random fields for ocean structure reliability. Melnikov processes and noise-induced escapes. A sharp Melnikov-theoretic criterion for escape from a potential well. Stochastic models for disordered periodic processes and their applications. Levy statistics of water wave loading on ships and platforms. Identification of low-order equations of motion for nonlinear stability studies. Dynamics modelling of tension leg platforms. A rule base for creating an expansion of the Fokker-Planck equation.

This book explores the nonlinear responses of ocean structures to stochastic forcing. Theoretical methods calculate aspects of time, frequency and phase space responses. Probabilities governed by stochastic differential equations are investigated directly or through moment correlations, such as power spectra. Calculations can also involve level crossing statistics and first passage times. This book studies stochastic nonlinear equations and helps engineers design for short term survivability of structures in storms and long life in the face of everyday fatigue.