Assessment of full-scale measurements with regard to extreme hogging and sagging condition of container ships
Paper i proceeding, 2011

In the design of a vessel’s ultimate strength the extreme hogging condition is of great concern. Due to special properties of container ship structures, such as large bow flare and overhanging stern, wave-induced slamming makes the ship responses more skewed to sagging conditions. In particular in large sea states, the ratio between maximum sagging and hogging can be quite high. Hence, the sagging condition might be very crucial with respect to a ship’s ultimate strength. In this study, the extreme response caused by hogging and sagging is derived from upcrossing spectrums of ship responses. The Weibull fitting method and Rice’s formula for the computation of the upcrossing spectrum are discussed using full-scale measurements from a container vessel on the North Atlantic trade. The extreme ship responses are therefore predicted using the long-term upcrossing spectrum. In the case where the ship response can be approximately treated as a series of stationary Gaussian processes, the corresponding upcrossings are computed by the explicit Rice’s formula. For the non-Gaussian ship response, it is shown that the 4-moment Hermite transformation is an efficient approach to compute the corresponding upcrossing spectrums. The parameters in the transformation mainly depend on the wave environments and operation profiles. The relations between these parameters and the wave environments are needed if no measurement is available. However, according to the full-scale measurements, it is not possible to find general formulas to estimate the parameters in terms of wave environments or operation profiles for the practical applications.

transformed Gaussian

container ship


significant wave height

full-scale measurement



Wengang Mao


Jonas Ringsberg


Zhiyuan Li


Igor Rychlik

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematisk statistik

Proceedings of The ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2011)

Vol. 2 325-333 OMAE2011-49456
978-0-7918-4434-2 (ISBN)

The ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2011)
Rotterdam, Netherlands,

Chalmers styrkeområde Transport – finansiering 2011

Chalmers, 2011-01-01 -- 2011-12-31.


Hållbar utveckling

Innovation och entreprenörskap




Grundläggande vetenskaper



Sannolikhetsteori och statistik



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