Ocean structures, including ships, boats, piers, docks, rigs and platforms, are subject to fair weather wind and waves, as well as violent storms. A scientific analysis of these structures, under varying conditions, requires a mix of civil engineering, physics and applied mathematics. Chapters by experts in these fields are presented which explore 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 will help scientists study stochastic nonlinear equations and help engineers design for short term survivability of structures in storms and long life in the face of everyday fatigue.
Preface, M.F. Shlesinger, T. Swean; Stabilization of stochastic
bifurcation with application to nonlinear ocean structures, R.A. Ibrahim;
Controlling chaos in temporally varying environments and applications to
engineering systems, M-Z Ding; Modelling of nonlinear ocean systems, A.
Kareem et al; A methodology for analysis and design of sensitive nonlinear
ocean systems, S.C.S. Yim, H. Li; Failures of stochastically excited systems,
G.Q. Cai, Y.K. Lin; Extremes and high level exceedances of stationary random
fields for ocean structure reliability, M.R. Leadbetter, I. Rychlik; Melnikov
processes and noise-induced escapes - applications to engineering, physics,
and biology, M. Franaszek et al; A sharp Melnikov-theoretic criterion for
escape from a potential well, M.R. Frey; Stochastic models for disordered
periodic processes and their applications, Z. Hou et al; levy statistics of
water wave loading on ships and platforms, B.J. West; Identification of
low-order equations of motion for nonlinear stability studies, P. A. Palo et
al; Dynamics modelling of tension leg platforms, R.S. Adrezin, H. Benaroya; A
rule base for creating an expansion of the Fokker-Planck equation, E.M.
Weinstein.
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