To establish the longitudinal dynamic motion equation for submarines under ocean current,the current velocity factors concerning submarine resistance and propeller thrust were taken into account according to the relative motion theory. Based on the established motion equation, the numerical simulation was done for the longitudinal drifting motion and the low-power motion of a 3 000 t submarine under the steady ocean current. This paper analyzed the simulation results and defined a new concept of "drifting index", and also discussed the calculation methods of the drifting index of the submarine under the linear assumption according to the established motion equation. The research results indicate that the index of the submarine drifting with no power is directly proportional to the submarine resistance and reversely to the submarine inertia and that the index of the submarine drifting with low power is directly proportional to the rotating speed of the submarine propeller.%按照相对运动原理在潜艇阻力和螺旋桨推力中引入海流速度项,建立了海流作用下潜艇纵向动力学方程.用所建立的方程,针对3 000 t级的潜艇开展了定常海流作用下潜艇纵向漂流和微动力航行时的数值模拟与计算.针对模拟计算结果进行了分析研究,提出了"漂流指数"的概念和定义,并按照定义根据所建立的动力学方程在线性假定下推导出了潜艇漂流指数计算公式.研究结果表明:潜艇无动力时,漂流指数大小与潜艇阻力成正比、与潜艇惯量大小成反比;潜艇有动力时,指数大小还与螺旋桨转速大小成正比.
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