强参数激励下船舶横摇稳性  

Stability of ship rolling under strong parametrical excitation

作　　者：王琳琳[1] 潘立鑫[2] 

机构地区：[1]内蒙古工业大学信息工程学院,呼和浩特010051 [2]哈尔滨工程大学自动化学院,哈尔滨150001

出　　处：《上海海事大学学报》2009年第3期9-12,共4页Journal of Shanghai Maritime University

基　　金：国家自然科学基金项目(50575048);国家自然科学基金项目(50879012)

摘　　要：为研究参数横摇对船舶运动和倾覆的影响,通过对船在规则波上随浪航行时,恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换,将船舶的横摇运动方程转换成标准形式的Mathieu方程.根据Floquet理论和方程的稳定性过渡曲线,比较2种不同改进变形参数法的求解精度,利用改进变形参数法来分析黏性阻尼变化对参数横摇稳定性的影响.仿真结果表明,增大黏性阻尼可缩小船舶横摇的不稳定区域,但黏性阻尼在不稳定区域内不能抑制横摇响应的无限增长.In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship＇ s navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave. According to Floquet theory and transition curves of Mathieu equation, two different modified strained parameter methods are compared on precision of periodic solutions. The effect of viscous damp on parametrical rolling stability is analyzed with the modified strained parameter method. Simulation results show that instability domain of rolling reduces in size, but infinite increase of the rolling response in instability domain is not restrained when viscous damp is increased.

关 键 词：强参数激励 船舶横摇 MATHIEU方程 黏性阻尼 过渡曲线 稳定性 

分 类 号：U661.22[交通运输工程—船舶及航道工程] U661.32[交通运输工程—船舶与海洋工程]