具有淹水舱的舰船横摇运动建模探讨

舰船在风浪中横摇运动特性是影响舰船航行安全的主要因素,而当舰船由于碰撞、搁浅等意外事故造成船体破损进水后,具有淹水舱的舰船在风浪中的横摇运动将变得更加复杂,更加危险,文章系统地分析了具有淹水舱的舰船在波浪中横摇运动时船和舱内水的能量耦合作用,根据拉格朗日方程建立了具有淹水舱的舰船横摇运动两自由度微分方程,并在此基础上,用Melnikov方法对某实船破损进水后的横摇运动进行了非线性分析,验证了所建模型的实用性,为进一步分析破损进水舰船在风浪中的横摇运动特性提供了可行的数学模型.

A study of the roll motion model of a flooded ship in waves

Ship roll characteristic is main factor to affect ship sail safe in wind and waves.Because of hits accident and so on,making ship damaged into the water behind,the roll motion of ship with the flooded cabin in the wind and waves will become the more complicacy and dangerous.In this paper,the energy couple between the ship with the flooded cabin and the water within the flooded cabin was analysed,the two-free differential equation on the basis of LAGRANGE equation was established,based on the theory,the non-linear roll motion of a flooded ship by Melnikov was analysed,and the practicability of the model was testified.The results show that the established mathematics model is valuable for further analysis the roll motion characteristic of the flooded ship in wind and waves.