Theoretical study on the effect of parametric rolling on added resistance in regular head seas
Theoretical study on the effect of parametric rolling on added resistance in regular head seas
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DOI：
10.1007/s00773-011-0127-0
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发表时间：
2011-06
影响因子：
2.6
通讯作者：
Jiang Lu;N. Umeda;K. Ma
中科院分区：
文献类型：
--
作者：
Jiang Lu;N. Umeda;K. Ma
基于Maruo理论，给出了参数横摇时规则头海附加阻力的计算公式。首先，将参数滚转、摇摆和偏航运动引起的辐射波速度势叠加在常规速度势上。其次，在两倍于相遇周期的时间内平均增加的阻力。再次，利用Maruo方法中使用的平稳相位法，得到了考虑参数横摇和粘性横摇阻尼的波浪附加阻力公式。第四，根据Maruo和Ishii以及Maruo和Iwase的著作，利用源分布计算附加电阻。参数横摇对规则首海附加阻力的影响主要来自于粘性横摇阻尼，且随参数横摇幅值的增大而增大。
A formula based on Maruo’s theory is presented for the added resistance in regular head seas when parametric rolling occurs. Firstly, the velocity potential of the radiation waves due to parametric rolling, sway and yaw motions should be superposed on the conventional velocity potential. Secondly, the added resistance is averaged within the time duration that is double the encounter period. Thirdly, the stationary-phase method which is used in Maruo’s method is also used to obtain the formula of added resistance in waves with parametric rolling taken into account as well as viscous roll damping. Fourthly, source distribution based on Maruo and Ishii's and Maruo and Iwase’s works is used to calculate the added resistance. Finally, the effect of parametric rolling on added resistance in regular head seas mainly results from viscous roll damping and it becomes larger as the amplitude of parametric rolling becomes larger.