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  • 8/4/2019 Dynamic Analysis of Multiple Floating Bodies

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    DYNAMIC ANALYSIS

    OF MULTIPLEFLOATING BODIES

    G vinod Kumar

    M100420CE

    Guided by

    Dr A.P Shashikala

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    OBJECTIVE:-

    Finding out the hydrodynamic coefficients and

    wave excitation force on two ships close to each

    other by linear 3D panel method.

    Response of the two ships in regular and multi

    directional seas.

    Estimation of optimum distance between thetwo ships by optimisation algorithm.

    .

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    Methodology:-

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    Work in Progress:-

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    Modelling:-

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    Meshing:-

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    Comparing ANSYS results with standard solution-

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    Hydrodynamic Cofficents- (ship1)

    PERIOD FREQ M11 M22 M33 M44 M55 M66 M13 M15 M24 M26 M35 M46

    (SEC) (RAD/SEC) kg kg kg Kgm2 Kgm2 kgm2 kg kgm kgm kgm kgm kgm2

    20 0.314 1.97E+05 1.68E+06 9.76E+06 2.72E+07 1.55E+09 3.04E+08 1.45E+05 1.38E+07 -3.08E+06 2.51E+06 2.36E+07 3.08E+0619 0.331 1.99E+05 1.69E+06 9.67E+06 2.72E+07 1.56E+09 3.05E+08 1.45E+05 1.39E+07 -3.11E+06 2.52E+06 2.34E+07 3.09E+0618 0.349 2.01E+05 1.71E+06 9.57E+06 2.73E+07 1.58E+09 3.06E+08 1.45E+05 1.41E+07 -3.13E+06 2.52E+06 2.32E+07 3.11E+0617 0.37 2.03E+05 1.73E+06 9.44E+06 2.74E+07 1.59E+09 3.08E+08 1.46E+05 1.43E+07 -3.17E+06 2.53E+06 2.30E+07 3.14E+0616 0.393 2.06E+05 1.75E+06 9.29E+06 2.75E+07 1.61E+09 3.10E+08 1.46E+05 1.45E+07 -3.21E+06 2.54E+06 2.27E+07 3.17E+0615 0.419 2.10E+05 1.78E+06 9.11E+06 2.76E+07 1.63E+09 3.12E+08 1.47E+05 1.47E+07 -3.26E+06 2.56E+06 2.24E+07 3.21E+0614 0.449 2.14E+05 1.81E+06 8.90E+06 2.77E+07 1.65E+09 3.16E+08 1.47E+05 1.50E+07 -3.32E+06 2.58E+06 2.20E+07 3.26E+0613 0.483 2.18E+05 1.85E+06 8.65E+06 2.79E+07 1.67E+09 3.20E+08 1.49E+05 1.54E+07 -3.40E+06 2.60E+06 2.15E+07 3.34E+0612 0.524 2.23E+05 1.91E+06 8.35E+06 2.81E+07 1.69E+09 3.26E+08 1.51E+05 1.57E+07 -3.50E+06 2.63E+06 2.09E+07 3.45E+0611 0.571 2.26E+05 1.99E+06 7.97E+06 2.84E+07 1.71E+09 3.35E+08 1.54E+05 1.59E+07 -3.64E+06 2.68E+06 2.02E+07 3.62E+0610 0.628 2.27E+05 2.10E+06 7.49E+06 2.87E+07 1.71E+09 3.48E+08 1.60E+05 1.59E+07 -3.83E+06 2.74E+06 1.92E+07 3.88E+069 0.698 2.23E+05 2.29E+06 6.86E+06 2.93E+07 1.67E+09 3.68E+08 1.68E+05 1.55E+07 -4.15E+06 2.84E+06 1.78E+07 4.29E+068 0.785 2.08E+05 2.69E+06 5.88E+06 3.06E+07 1.57E+09 4.03E+08 1.84E+05 1.43E+07 -4.83E+06 2.96E+06 1.57E+07 4.99E+067 0.898 1.75E+05 2.78E+06 1.74E+06 2.96E+07 1.37E+09 4.68E+08 2.09E+05 1.16E+07 -4.61E+06 1.93E+06 7.65E+06 8.44E+066 1.047 1.08E+05 5.17E+05 3.17E+06 2.17E+07 8.84E+08 4.41E+08 9.59E+04 5.45E+06 -3.18E+05 3.03E+06 8.31E+06 1.38E+065 1.257 1.43E+05 1.08E+06 4.12E+06 2.38E+07 9.48E+08 2.18E+08 1.40E+05 8.07E+06 -1.40E+06 3.23E+06 1.10E+07 -7.78E+054 1.571 6.33E+04 -8.14E+05 3.30E+06 2.26E+07 4.75E+08 -2.38E+08 1.45E+05 1.94E+06 3.12E+05 1.74E+06 9.07E+06 -6.44E+063 2.094 7.00E+04 -2.28E+05 4.11E+06 2.13E+07 8.47E+08 -3.05E+07 1.59E+05 5.40E+06 -4.47E+05 2.57E+06 1.02E+07 4.46E+052 3.142 6.46E+04 6.38E+05 4.76E+06 2.31E+07 9.46E+08 1.15E+08 1.51E+05 5.90E+06 -1.12E+06 1.89E+05 1.14E+07 1.54E+06

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    Hydrodynamic Cofficents- (ship2)

    PERIOD FREQ M11 M22 M33 M44 M55 M66 M13 M15 M24 M26 M35 M46

    (SEC) (RAD/SEC) kg kg kg Kgm2 Kgm2 kgm2 kg kgm kgm kgm kgm kgm2

    20 0.314 1.97E+05 1.68E+06 9.76E+06 2.72E+07 1.55E+09 3.04E+08 1.45E+05 1.38E+07 -3.08E+06 2.51E+06 2.36E+07 3.08E+0619 0.331 1.99E+05 1.69E+06 9.67E+06 2.72E+07 1.56E+09 3.05E+08 1.45E+05 1.39E+07 -3.11E+06 2.52E+06 2.34E+07 3.09E+0618 0.349 2.01E+05 1.71E+06 9.57E+06 2.73E+07 1.58E+09 3.06E+08 1.45E+05 1.41E+07 -3.13E+06 2.52E+06 2.32E+07 3.11E+0617 0.37 2.03E+05 1.73E+06 9.44E+06 2.74E+07 1.59E+09 3.08E+08 1.46E+05 1.43E+07 -3.17E+06 2.53E+06 2.30E+07 3.14E+0616 0.393 2.06E+05 1.75E+06 9.29E+06 2.75E+07 1.61E+09 3.10E+08 1.46E+05 1.45E+07 -3.21E+06 2.54E+06 2.27E+07 3.17E+0615 0.419 2.10E+05 1.78E+06 9.11E+06 2.76E+07 1.63E+09 3.12E+08 1.47E+05 1.47E+07 -3.26E+06 2.56E+06 2.24E+07 3.21E+0614 0.449 2.14E+05 1.81E+06 8.90E+06 2.77E+07 1.65E+09 3.16E+08 1.47E+05 1.50E+07 -3.32E+06 2.58E+06 2.20E+07 3.26E+0613 0.483 2.18E+05 1.85E+06 8.65E+06 2.79E+07 1.67E+09 3.20E+08 1.49E+05 1.54E+07 -3.40E+06 2.60E+06 2.15E+07 3.34E+0612 0.524 2.23E+05 1.91E+06 8.35E+06 2.81E+07 1.69E+09 3.26E+08 1.51E+05 1.57E+07 -3.50E+06 2.63E+06 2.09E+07 3.45E+0611 0.571 2.26E+05 1.99E+06 7.97E+06 2.84E+07 1.71E+09 3.35E+08 1.54E+05 1.59E+07 -3.64E+06 2.68E+06 2.02E+07 3.62E+0610 0.628 2.27E+05 2.10E+06 7.49E+06 2.87E+07 1.71E+09 3.48E+08 1.60E+05 1.59E+07 -3.83E+06 2.74E+06 1.92E+07 3.88E+069 0.698 2.23E+05 2.29E+06 6.86E+06 2.93E+07 1.67E+09 3.68E+08 1.68E+05 1.55E+07 -4.15E+06 2.84E+06 1.78E+07 4.29E+068 0.785 2.08E+05 2.69E+06 5.88E+06 3.06E+07 1.57E+09 4.03E+08 1.84E+05 1.43E+07 -4.83E+06 2.96E+06 1.57E+07 4.99E+067 0.898 1.75E+05 2.78E+06 1.74E+06 2.96E+07 1.37E+09 4.68E+08 2.09E+05 1.16E+07 -4.61E+06 1.91E+06 7.66E+06 8.47E+066 1.047 1.08E+05 5.17E+05 3.17E+06 2.18E+07 8.84E+08 4.41E+08 9.59E+04 5.45E+06 -3.17E+05 3.03E+06 8.31E+06 1.37E+065 1.257 1.43E+05 1.08E+06 4.12E+06 2.38E+07 9.48E+08 2.18E+08 1.40E+05 8.08E+06 -1.40E+06 3.23E+06 1.10E+07 -7.78E+054 1.571 6.33E+04 -8.14E+05 3.30E+06 2.26E+07 4.75E+08 -2.38E+08 1.45E+05 1.94E+06 3.11E+05 1.74E+06 9.07E+06 -6.42E+063 2.094 7.00E+04 -2.28E+05 4.11E+06 2.13E+07 8.47E+08 -3.06E+07 1.59E+05 5.40E+06 -4.47E+05 2.57E+06 1.02E+07 4.35E+052 3.142 6.46E+04 6.38E+05 4.76E+06 2.32E+07 9.46E+08 1.15E+08 1.51E+05 5.90E+06 -1.12E+06 1.97E+05 1.14E+07 1.54E+06

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    Pressure

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    Response :-

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    References:-

    B.J.Koo, Hydrodynamic interactions and relative motions of two floating

    platforms, Applied Ocean Research, pp 292-310, 2005.

    Y.Gou&B.Teng, On Research on Hydrodynamic interaction between Multiple

    Floating Bodies, 2006.

    ZHU Ren-chuan, The Radiation problem of Multiple Structures with small

    gaps in between, 2005.

    S.K Chakrabarti, Response due to moored multiple structure interaction,

    Marine Structures, pp 231-258.

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    J.N Newman., Efficient hydrodynamic analysis of very large floating

    structures, Marine Structures, pp 169-180, 2005.

    Gung-Rong Chen & Ming-Chung Fang; Hydrodynamic interactions

    between two ships advancing in waves, Ocean Engineering, pp 1053-

    1078, 2000.