液舱晃荡对潜艇系泊系统稳定性的影响

Sloshing Effects on Stability of Submarine Mooring System

液舱内自由液面的晃荡会影响船艇的稳定性。引入混合系统理论,对液舱晃荡影响下的潜艇系泊系统进行了分析,介绍了判断混合系统稳定性的Lyapunov指数判据。针对一类典型的潜艇系泊方式,建立了晃荡影响下的系泊潜艇横荡运动刚性碰撞模型。基于该模型对系统进行数值仿真,研究了晃荡流体对系泊潜艇稳定性的影响。结果表明,液舱晃荡影响下的潜艇系泊系统具有阶跃特性和强烈的非线性特征,用混合系统可以有效描述系泊系统的连续运动和状态跃变,从而验证了这种方法的可行性。

The tank sloshing may affect the stability of ship motion. In this paper, the submarine mooring system affected sloshing is studied based on the hybrid system theory. The stability of hybrid system is investigated and the Lyapunov Exponent theorem is presented. The rigid collision model of a typical mooring system under sloshing impacts is introduced. Based on the numerical simulation, effects of the sloshing liquid on the mooring system are analyzed. Results show that high nonlinearity and step response in mooring system under sloshing impacts. Both the continuous movements and abrupt state changes can be described and analyzed in hybrid system. The feasibility of this approach is thus verified.