Second-order Wave Loads On Offshore Structures
Using TheWeber’s Transform Method
Author(s)
M. Rahman & S. H. Mousavizadegan
Abstract
The second-order wave loads are computed for the diffraction of monochromatic
waves by a surface-piercing vertical cylinder in the finite and infinite fluid depths.
TheWeber transformmethod which is essentially a Hankel transform method with
a more general kernel, is applied to compute the second-order force due to the
second-order velocity potential. Suitable closed contours in the complex plane are
used to derive the analytical solution of the improper integrals involved in this
study. This makes the present solution distinct from the other available solution of
the second-order forces.
1 Introduction
The fluid viscosity and the irrotational flow are important in determining the wave
induced loads on offshore structures. The wave loading estimations for small volume
structures are based on the well-known \“Morison Equation” which involves
both viscous drag and inertia forces. If the characteristic dimension of the structure
is comparable to the wavelength, the diffraction theory should be applied to find
the wave induced loads upon the structure.
There are some fundamental second-order phenomena that can not be predicted
in the linearized wave theory. The second-order phenomena in monochromatic
waves are the steady mean drift forces and the oscillating forces with a frequency
twice the first order frequency. The force oscillating with the difference of frequencies
that cause slow-drift motion of moored structures and the loads with
sum frequencies that cause springing on TLPs are the second-order phenomena
in multi-chromatic waves.
Keywords
Related Book
Other papers in this volume
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