The current paper presents a simple mathematical model for replication of the transient acceleration motion of displacement hulls in calm water under the action of a propulsion system. Different empirical methods are coupled, and an operational speed problem is solved in the time domain. The resistance of the ship is calculated by using the Holtrop method. The values of thrust force, torque and propeller efficiency are computed by using B-Series empirical equations. The acceleration motion of the vessel, which is triggered as the engine starts to work, is simulated by solving a set of first-order differential equations, which are discretised in the time domain. It is shown that different propellers can lead to different transient and steady behaviours of the vessel. Finally, using a genetic algorithm library, it is demonstrated that the method can be helpful and be easily linked to the design process. Moreover, an optimisation study is performed, showing that, the developed method provides an efficient propeller, under the action of which ship reaches the maximum possible speed in the earliest possible time with the highest efficiency for the propeller. The current method can be useful in the mathematical reproduction of the ship-propeller-engine, which needed to be modified in future.

目前的论文提出了一个简单的数学模型，用于在推进系统的作用下复制静水中位移船体的瞬态加速度运动。结合不同的经验方法，在时域中解决运行速度问题。船舶的阻力采用 Holtrop 方法计算。推力、扭矩和螺旋桨效率的值是通过使用 B 系列经验方程计算的。通过求解一组在时域中离散的一阶微分方程来模拟发动机开始工作时触发的船舶加速运动。结果表明，不同的螺旋桨会导致船舶的不同瞬态和稳定行为。最后，使用遗传算法库，事实证明，该方法很有帮助，并且很容易与设计过程联系起来。此外，进行了优化研究，表明所开发的方法提供了一种高效的螺旋桨，在该螺旋桨的作用下，船舶在尽可能早的时间内达到最大可能的速度，螺旋桨的效率最高。当前方法可用于船舶螺旋桨发动机的数学复制，未来需要对其进行修改。