滚装船的波浪稳定性数学建模和稳定性分析  

Mathematical modeling and stability analysis of wave stability of roll-on-roll-off ship

作　　者：刘迪[1] LIU Di(Qingdao Huanghai University,Qingdao 266427,China)

机构地区：[1]青岛黄海学院,山东青岛266427

出　　处：《舰船科学技术》2022年第4期16-19,共4页Ship Science and Technology

摘　　要：滚装船具有重心高、稳定性差等特点,在波浪中航行时,会因为外界环境的变化产生大幅度的横摇。这种非线性的横摇很容易使得船舶发生倾覆,这对船舶的安全性是非常大的隐患。对船舶横摇运行不能按照传统的线性方式进行处理,以牛顿力学和刚体力学作为基础,将阻尼力矩和恢复力矩考虑在内,建立了船舶在波浪中运行的非线性运动方程,并对船舶受到波浪影响突然产生的跳变,利用突变理论进行分析。最后利用Matlab对船舶在非线性横摇、纵摇、升沉进行仿真,进而说明随着参数的变化对船舶的稳定性有一定的影响。Roll-on-roll-off ship has the characteristics of high center of gravity and poor stability.When sailing in waves,it will roll greatly due to the change of external environment.This kind of nonlinear rolling is easy to capsize the ship,which is a great hidden danger to the safety of the ship.In this paper,the nonlinear motion equation of ship running in waves is established based on Newton mechanics and rigid body mechanics,taking into account the damping moment and restoring moment,and the jump caused by the sudden impact of waves is analyzed by using the catastrophe theory,Finally,the nonlinear rolling,pitching and heave operation of the ship is simulated by Matlab,which shows that the change of parameters has a certain impact on the stability of the ship.

关 键 词：阻尼力矩 恢复力矩 突变理论 船舶稳定性 Matlab 

分 类 号：U661.26[交通运输工程—船舶及航道工程]