Sr. Winterstein et al., VOLTERRA MODELS OF OCEAN STRUCTURES - EXTREME AND FATIGUE RELIABILITY, Journal of engineering mechanics, 120(6), 1994, pp. 1369-1385
A new method is developed to estimate the reliability of nonlinear str
uctural systems, modeled with second-order Volterra series, against bo
th extreme and fatigue failures. It includes non-Gaussian response eff
ects for a given input spectrum as well as long-term variations in the
parameters of this input spectrum. Moment influence coefficients are
introduced to give response moments for arbitrarily scaled input spect
ra. Rates of extremes and fatigue damage are then estimated analytical
ly from a non-Gaussian (Hermite) random process model. The method is a
pplied to study the pitch and heave ''springing'' motions of a tension
leg platform (TLP) under random wave loads. State-of-the-art nonlinea
r diffraction results are used to model the second-order loads on the
TLP. These forces are then applied to a coupled six-degree-of-freedom
(6DOF) linear structural model of the TLP. Statistics of tether tensio
ns, platform motions, and accelerations are estimated. These results a
re weighted over probabilistic models of the long-term wave climate to
estimate reliability against extreme and fatigue limit states.