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A statistical analysis of first and second order vessel motions induced by waves and wind gusts
Abstract A closed form series solution for the combined first and second order response probability density function has been derived in terms of the eigen values and eigen vectors of the matrix arising in a discretised Kac-Siegert analysis. The first term of the resulting series corresponds to the assumption that the first and second order response are statistically independent, while subsequent terms depend upon the joint cumulants of the response. The applicability of the method is investigated by comparison with time domain simulation. The results suggest that a good estimate of the probability density function may be obtained from the first term of the series and that a limited number of eigen values will suffice. Consequently, it may be deduced that the need to calculate the forementioned eigen vectors is obviated and the eigen problem reduced.
A statistical analysis of first and second order vessel motions induced by waves and wind gusts
Abstract A closed form series solution for the combined first and second order response probability density function has been derived in terms of the eigen values and eigen vectors of the matrix arising in a discretised Kac-Siegert analysis. The first term of the resulting series corresponds to the assumption that the first and second order response are statistically independent, while subsequent terms depend upon the joint cumulants of the response. The applicability of the method is investigated by comparison with time domain simulation. The results suggest that a good estimate of the probability density function may be obtained from the first term of the series and that a limited number of eigen values will suffice. Consequently, it may be deduced that the need to calculate the forementioned eigen vectors is obviated and the eigen problem reduced.
A statistical analysis of first and second order vessel motions induced by waves and wind gusts
Langley, R.S. (author) / McWilliam, S. (author)
Applied Ocean Research ; 15 ; 13-23
1992-10-09
11 pages
Article (Journal)
Electronic Resource
English
A statistical analysis of first and second order vessel motions induced by waves and wind gusts
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