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ZHANG Teng, REN Jun-sheng, ZHANG Xiu-feng. Mathematical model of ship motion in regular wave based on three-dimensional time-domain Green function method[J]. Journal of Traffic and Transportation Engineering, 2019, 19(2): 110-121. doi: 10.19818/j.cnki.1671-1637.2019.02.011
Citation: ZHANG Teng, REN Jun-sheng, ZHANG Xiu-feng. Mathematical model of ship motion in regular wave based on three-dimensional time-domain Green function method[J]. Journal of Traffic and Transportation Engineering, 2019, 19(2): 110-121. doi: 10.19818/j.cnki.1671-1637.2019.02.011
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Mathematical model of ship motion in regular wave based on three-dimensional time-domain Green function method

doi: 10.19818/j.cnki.1671-1637.2019.02.011

  • Navigation College, Dalian Maritime University, Dalian 116026, Liaoning, China

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  • Author Bio:

    ZHANG Teng (1991-), male, doctoral student, 13342284962@163.com

    REN Jun-sheng (1976-), male, professor, PhD, j.s.ren@126.com

  • Received Date: 2018-10-23
  • Publish Date: 2019-04-25
    Abstract
  • The series expansion method was adopted in the short time interval region, the asymptotic expansion method was adopted in the long time interval region, and the precise integration method was adopted in the transitional region between the short and long time interval regions to numerically calculate the three-dimensional time-domain Green function. The radiation and diffraction problems of ship were solved by the linear superposition principle. The ship motion mathematical model in regular wave was formulated. The hydrodynamic coefficients, wave exciting forces and motion time histories of a Wigley Ⅰ hull and a S60 hull were calculated by the numerical method when they sail on the wave with a Froude number of 0.2. Calculation result shows that due to the influence of irregular frequencies, when the dimensionless frequency is 1.7, the numerical result of heave added mass of Wigley Ⅰ hull is 44% smaller than the test result. When the dimensionless frequency is 2.5, the numerical result of pitch damping coefficient of S60 hull is 43% smaller than the test result. As the incident wave frequency increases, for a Wigley Ⅰ hull and a S60 hull, the relative errors of hydrodynamic coefficients and wave exciting forces between most of the numerical results and the test results are less than 30%, and the two have a same variation trend. For a Wigley Ⅰ hull, when the ratio of wave length to ship length is 1.25, the heave response amplitude operator and the pitch response amplitude operator calculated by the three-dimensional time-domain method are 11.3% and 4.8% smaller than the test values, respectively, the heave response amplitude operator calculated by the three-dimensional frequency-domain method is 48.4% larger than the test value, and the pitch response amplitude operator is 48.4% smaller than the test value. When the ratio of wave length to ship length is 1.50, the heave response amplitude operator and the pitch response amplitude operator calculated by the three-dimensional time-domain method are 3.0% and 11.3% smaller than the test values, respectively, the heave response amplitude operator calculated by the three-dimensional frequency-domain method is 9.8% larger than the test value, and the pitch response amplitude operator is 23.6% smaller than the test value. Thus, the three-dimensional time-domain method can accurately simulate the time history of ship motion in wave.

     

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