self-similarity in the equation of motion of a ship

self-similarity in the equation of motion of a ship

;Gyeong Joong Lee
current developments in nutrition 2014 Vol. 6 pp. 333-346
146
lee2014internationalself-similarity

Abstract

If we want to analyze the motion of a body in fluid, we should use rigid-body dynamics and fluid dynamics together. Even if the rigid-body and fluid dynamics are each self-consistent, there arises the problem of self-similar structure in the equation of motion when the two dynamics are coupled with each other. When the added mass is greater than the mass of a body, the calculated motion is divergent because of its self-similar structure. This study showed that the above problem is an inherent problem. This problem of self-similar structure may arise in the equation of motion in which the fluid dynamic forces are treated as external forces on the right hand side of the equation. A reconfiguration technique for the equation of motion using pseudo-added-mass was proposed to resolve the self-similar structure problem; specifically for the case when the fluid force is expressed by integration of the fluid pressure.

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0x95644003c57E6F55A65596E3D9Eac6813e3566dA
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132689
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10.2478/IJNAOE-2013-0183
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