Accurate modelling of the characteristics of the distribution
tail (high ice force area) of the ice force of polar ships has a decisive
impact on structural safety, and the existing distribution model has
insufficient accuracy in fitting the tail data, which limits the reliability of
the safety design of ships. In order to overcome the limitations of the
standard distribution model, this paper proposes a high-precision tail fitting
method to provide theoretical support for the reliability design of polar
ships. In this paper, based on the measured ice force, the Rayleigh separator
is used to extract the peak data, and a nonlinear mixed index distribution
model is proposed to improve the fitting adaptability of the tail. Combined
with the quantile-quantile plot and the coefficient of determination, the goodness
of fitting of exponential distribution, Weibull distribution, exponential
Weibull distribution, linear mixed exponential distribution and nonlinear mixed
exponential distribution were comprehensively compared. The results show that
the tail coefficient of determination of the distribution model proposed in
this paper is greater than 0.85 on all ice force datasets, and the goodness of fitting
is the best among all the compared distributions, which can accurately
characterize the tail characteristics of ice force and provide a reliable basis
for the design and risk assessment of ship ice-resistant structures.
JIAO Boyanga, b, KUJALA Penttia, LI Fanga, b, DING Shifenga, b, ZHOU Lia, b
. Stochastic
Characterization Methods for Ice Force Peaks in Polar Ships[J]. Journal of Shanghai Jiaotong University, 0
: 1
.
DOI: 10.16183/j.cnki.jsjtu.2025.048