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Article Navigation >  Journal of Traffic and Transportation Engineering  > 2018  >  18(4): 182-190
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ZAN Ying-fei, MA Yue-sheng, HAN Duan-feng, WU Chao-hui. Fast computation of vessel time-domain motion based on identification theory[J]. Journal of Traffic and Transportation Engineering, 2018, 18(4): 182-190. doi: 10.19818/j.cnki.1671-1637.2018.04.019
Citation: ZAN Ying-fei, MA Yue-sheng, HAN Duan-feng, WU Chao-hui. Fast computation of vessel time-domain motion based on identification theory[J]. Journal of Traffic and Transportation Engineering, 2018, 18(4): 182-190. doi: 10.19818/j.cnki.1671-1637.2018.04.019
shu

Fast computation of vessel time-domain motion based on identification theory

doi: 10.19818/j.cnki.1671-1637.2018.04.019
  • 1.

    College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China

  • 2.

    Offshore Oil Engineering Co., Ltd., Tianjin 300461, China

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    Abstract
  • To meet the demand of fast computation of time-domain motion equations, four methods suitable for the fast computation of a retardation function were proposed based on the identification theory. Applying these methods, a state-space model was established by replacing the convolution term, to satisfy the property of the retardation function and fitting quality. Considering the HYSY286 vessel as the research object, the time-domain and frequency-domain identification methods were used to compare the fitting results of retardation function. Calculation result shows that when the confidence coefficient is 0.99, the fitting results of the frequency-domain regression method and the frequency-domain iteration method are consistent with the expected value. The fitting curve reaches to peak when the frequency value is 0.92-1.05 rad·s-1, then gradually decreases to 0. When the frequency is 0.05-0.50 rad·s-1, the deviation of the fitting result from the expected value is approximately 20%, and the accuracy is obviously lower than the frequency-domain iterative method. When the confidence coefficient is 0.99, the fitting results of the impulse response curve fitting method and the realization theory method are consistent with the expected value of retardation function. The fitting curves reach to peak initially and decrease to the minimum value at approximately 3.5 s, then increase again until they tend toward 0 at approximately 15 s. The fitting precision of the realization theory method is better than that of the impulse response curve fitting method during 7-11 s. Considering the effect of heaving direction on pitching direction, the realization theory method requires the least order of the state-space model, to be 4, 3, and 3 for swaying, heaving and pitching, respectively. Without such consideration, the frequency-domain iteration method requires the least order of the state-space model, to be 3, 2, and 2 for swaying, heaving and pitching, respectively. When the impulse response curve fitting method considers the influence of heaving direction on pitching direction to fit the state-space model, the order of the model required to fit pitching is twice as much as that without considering heaving direction, whereas the realization theory method requires the same order.

     

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