Abstract
The formula to determine the roll angle for structural strength assessment in ClassNK’s Technical Rule and Guidance gives a value based upon maximum roll amplitude at probability of exceedance Q = 10–8 within the design life of ship on long-term prediction of roll amplitude. The long-term prediction is obtained from combining short-term prediction of roll amplitude and a probability of occurrence of short-term irregular sea in long term (design life of ship). In the current rule, non-linearity of roll is included as some correction coefficients obtained from model experiments and empirical knowledge at the time of development. However, the ships have considerably changed since then, and the coefficients are not always suitable for the novel vessels. The purpose of this study is to propose a rational short-term prediction method considering nonlinearity of roll. In this paper, applicability of a non-Gaussian PDF (Probability Density Function) for PDF of roll angle is investigated.
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Part of this research was supported by ClassNK.
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Appendix
Appendix
Figure 10 shows a sample results of calculated variance of roll angle using time series roll motion data in various number of encounter waves. Concretely, a long time series data of roll angle was used in order from the first. σn and σ700 means the standard deviation calculated by the roll angle data for n and 700 encounter waves. This figure shows that the variance over n = 500 is almost converged.
Effects of number of encounter waves on variance of roll angle
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Katayama, T., Kankaku, M., Maki, A., Sugimoto, K., Fukumoto, Y. (2023). Study on Short-Term Prediction of Roll in Beam Sea. In: Spyrou, K.J., Belenky, V.L., Katayama, T., Bačkalov, I., Francescutto, A. (eds) Contemporary Ideas on Ship Stability. Fluid Mechanics and Its Applications, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-031-16329-6_9
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DOI: https://doi.org/10.1007/978-3-031-16329-6_9
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