THE HILL ANGLE OF DAMAGED VESSEL IN CONDITIONS OF THE DYNAMICAL WIND INFLUENCE CLOSE TO THE WHITE NOISE
Abstract
The article devoted to the features of rolling of damaged vessel because of a gusty wind. The method of the constant displacement is applied in this research. Flooding is expected to midsection, and flooded compartment considered rectangular parallelepiped. Rolling non-linearities are not taken into account. So, it became possible to divide non-time dependent and time-dependent parts of the wind heeling moment. First harmonic of moving water in the flooded compartment is taken into account. The liquid in the flooded compartments assumed as ideal, and flow this fluid is potential. Spectral density of the gusty part of the wind velocity is determined with the help of the using of Fourier transformation to the empirical correlation function of wind velocity. Perturbation, connected with the gust part of the wind on the ship, is close to the white noise in a narrow sense. As a result, was got a simple formula for the variance of the hill angle, connected with the gusty part of wind velocity.
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