On estimation of extreme ship response using upcrossing spectrum
Paper in proceeding, 2011

In this paper a simple method is proposed to estimate extreme ship response, which is defined by the upcrossing spectrum of the responses at high levels. The method requires limited statistical information about shipping and the corresponding responses. Since the real ship responses are often non-Gaussian, a transformed Gaussian approach using the cubic Hermite polynomials is employed. The parametric transformation is a function of the standard deviation, skewness, kurtosis and zero up-crossing frequency of a response which mainly varies with changing sea conditions and operation conditions. Parameters needed in the transformation are computed from their relations with encountered waves, characterized by the significant wave height here. The relations are derived from the measurements, but can be also computed by theoretical analysis. Finally, this method is compared and validated with the typical engineering approach, based on the full-scale measurements of a 2800 TEU container ship during the first six months of 2008. If no measured responses are available, the parameters of the transformation can be estimated using simple numerical analysis.

Extreme response


container ship. measurements

transformed Gaussian


Wengang Mao

Ship Design

Igor Rychlik

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematical Statistics

Advances in Marine Structures - Proceedings of the 3rd International Conference on Marine Structures, MARSTRUCT 2011, Hamburg, 28 - 30 March 2011

978-0-415-67771-4 (ISBN)

Areas of Advance



Basic sciences

Driving Forces

Innovation and entrepreneurship

Subject Categories

Vehicle Engineering

Probability Theory and Statistics



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