The random jumping of ship rolling in narrowband wave considering the static effect of liquid on board

The random jumping of ship rolling in narrowband wave considering the static effect of liquid on board
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考虑船上液体静力效应的船舶在窄带波中横摇的随机跳跃

DOI:
10.1177/1077546311435138
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发表时间:
2013-03
期刊:
JVC/Journal of Vibration and Control
影响因子:
--
通讯作者:
刘利琴
刘利琴
中科院分区:
其他
文献类型:
--
作者:
唐友刚;刘利琴

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利用联合概率密度函数和横摇响应的时程分析方法,研究了窄带波浪激励下船舶横摇的随机跳跃,并考虑了船舶上液体的静力效应。建立了改进的扶正臂模型,该模型包含了船内液体的滚动角和消失稳定角。通过对白噪声的线性滤波作用,产生相对波激发力矩的窄带输入。用路径积分法数值求解了四维Ito随机微分方程,得到了联合概率密度函数在时间域中的演化规律。研究发现,考虑船舶液体的影响时,船舶横摇运动存在两个吸引区。在较低海况下,联合概率密度函数趋于一个峰值,船舶在一个吸引区内横摇。在较高海况下,联合概率密度函数趋于双峰,船舶横摇从一个吸引区随机跳跃到另一个吸引区,且跳跃频率随波浪激励强度的增大而增大。
The random jumping of ship rolling excited by the narrowband waves is studied by the joint probability density function and the time history of the roll response, and the static effects of liquid on board is considered in this paper. The improved righting arm model is established including the angle of loll due to the liquid on board and the angle of vanishing stability. The narrowband input of the relative wave excitation moment is produced by means of linear filter action on the white noise. The four-dimensional Ito stochastic differential equation is numerically solved by the path integral method and the evolution of the joint probability density functions in the time domain is obtained. It is found that the ship rolling has two attraction regions when considering the effect of liquid on board. For the lower sea state, the joint probability density function trends to one peak and the ship rolls within one attraction region. For the higher sea state, the joint probability density function trends to two peaks, ship rolling jumps randomly from one attraction region to another, and the jumping frequency increases with the increase of wave exciting intensity.
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