Height-length Joint Distributions for Computation of Static Wave Loading on Floating Bodies

Jesper Rydén, Sylvie van Iseghem, Michel Olagnon, Igor Rychlik

Centre for Mathematical Sciences
Mathematical Statistics
Lund Institute of Technology,
Lund University,

ISSN 1403-9338
We present a method for the estimation of the distribution of the quasi-static hogging-bending moment for a floating body. Starting points of this study are temporal characteristics of the sea state. The approximation is deduced from the estimation of the joint distribution of crest amplitude and crest length. The quality of the  model is investigated by comparing computed distributions with empirical ones, originating from real measurements on which a Fourier snapshot-method has been applied.
The question on how precise the representation of the sea state (the entire wave spectrum or only reduced parameters) needs to be in order to obtain proper densities for crest amplitude and crest length is also addressed.
Key words:
Wavelength, crest height, spectral shape, bending moment, statistics, distributions