Abstract
This is the second of two companion papers concerned with an investigation into the non-linear dynamics of drag dominated offshore structures excited by waves. The equations of motion are approximated by a linear system with a time varying damping term; the excitation however is a non-linear function of the wave particle kinematics. To study the effect of the time varying damping, the resonant response is here examined by means of a narrow band idealization. A stochastic averaging of the governing equations is applied, and the Fokker-Planck equation for the response amplitude probability densities is thereby obtained. From the stationary solution of this equation, second order statistics are derived, together with an expression for the hydrodynamic damping which is equivalent. to the time varying term. Numerical results are given to illustrate the magnitude of this term for a typical framed structure, and to provide comparisons with results obtained by the conventional technique of linearization.
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