潜望镜深度潜艇的数学建模与运动仿真

Mathematics Modeling and Motion Simulation of Submarine at Periscope Depth

潜艇在潜望镜深度航行时,会受到来自波浪的干扰力。采用波浪频谱的方法来计算波浪对潜艇的作用力和力矩,然后将干扰力叠加在深水中航行的潜艇运动方程上,得到在一阶和二阶波浪力干扰下的潜艇垂直面上的动力学模型。最后使用龙格-库塔法来求解方程,得到潜艇状态参数的仿真曲线,对潜望镜深度的潜艇操纵规律进行分析。计算机仿真结果是合理有效的。

Submarine motion at the periscope depth, will suffer the interference that comes from waves. A model of vertical plane submarine dynamics was presented with the first and the second order wave force disturbances. The first and the second order wave force, as interference factors, were added into the equations of a deeply submerged submarine at moderate speeds. The wave force was calculated by the sea wave spectra. The submarine at the periscope depth motion was simulated. Moreover, The regulation of operating submarine at the periscope depth was discussed. The results of the computer simulation are presented.