Stability and roll angles of the ship at its small finite tilts from different starting positions

Aleksandr N. Kovalev, Fedor N. Kovalev
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Abstract

The article, within the framework of the acceptability of the metacentric formula, presents a solution to the problem of comparing the stability of the ship, the angles of rotation and the roll angles that it takes while in different starting positions: in a straight state (with the center of gravity  (CG) unbiased from the diametrical plane) and with the initial roll angle (with the displaced CG). This comparison is carried out when the following factors affect the ship: the same heeling moment; the rotation of the ship at the same roll angle; the transfer of the same cargo parallel to the deck at the same distance; the inclination of the ship to the same position. The purpose of this comparison is to clearly show that a ship with a displaced CG exhibits better stability within the specified framework than in a straight state. It is shown that the transfer of cargo in any direction from side to side will turn the ship with the initial angle by a smaller angle in the direction of transfer than the same ship in the initial straight state. The exception will be the same transfer, in which the initially cloned ship will restore a straight state or take a roll opposite to the original one. In the first case, the rotation of the ship (relative to the initial roll) will occur at exactly the same angle as when the ship is tilted with an initially straight state, and in the second case - by a larger angle. The materials of the article can be useful in analyzing the behavior of a ship at small roll angles.
飞船从不同起始位置进行小幅度有限倾斜时的稳定性和翻滚角
文章在元心公式的可接受性框架内,提出了一种解决方案,用于比较船舶在不同起始位置时的稳定性、旋转角和滚动角:直线状态(重心(CG)与直径平面无偏差)和初始滚动角(重心偏移)。这种比较是在以下因素影响船舶时进行的:相同的跟船力矩;船舶以相同的滚转角旋转;相同距离将相同货物平行转移到甲板上;船舶倾斜到相同位置。这种比较的目的是清楚地表明,在规定的框架内,船身倾斜的稳定性要好于直线状态下的稳定性。事实表明,在任何方向上将货物从一侧转移到另一侧,都会使具有初始角度的船舶在转移方向上的角度小于处于初始直线状态的同一船舶。例外情况是相同的转移,在这种情况下,初始克隆船将恢复直线状态或采取与原始船相反的翻滚。在第一种情况下,飞船的旋转(相对于初始翻滚)角度与初始直线状态下的倾斜角度完全相同,而在第二种情况下--角度更大。文章中的材料有助于分析船舶在小倾角下的行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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