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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.