纵浪上基本参数共振对船舶稳性的影响  

The Effect of Fundamental Parametric Excitation on the Stability of Ships in Longitudinal Seas

作　　者：张延峰[1] 董艳秋[1] 唐友刚[1] 张泽盛[1] 郑俊武[1] 

机构地区：[1]天津大学

出　　处：《船舶力学》1998年第3期6-12,共7页Journal of Ship Mechanics

基　　金：国家自然科学基金;国防科工委预研基金

摘　　要：本文建立了在纵浪上航行船舶的非线性参数激励横摇运动方程，研究了当升沉固有频率接近横摇固有频率时船舶的稳定性。用多尺度法求解方程得到二阶近似解；采用Floquet理论和分岔理论对定常解进行稳性分析，获得了基本参数共振下的分岔图，发现参数激励对船舶的稳性有重要的影响。船舶可以通过两种方式产生倾覆：一种是在大角横摇下混沌运动产生倾覆；另一种是在小角横摇时平凡解失稳产生倾覆。通过与数值方法的比较，验证了本文的结论。A nonlinear parametric excitation equation is obtained for ships in longitudinal waves, and the dynamic stability is analyzed when the natural frequency of heave and roll are approximately equal. By means of multiple scale method a secondorder approximate solution is obtained, and the Floquet theory and bifurcation theory are used to determine the bifurcation diagram in the fundamental parameter region. It is found that the parametric excitation has an important effect on the stability of ships. Ships may capsize via two ways: one is at large oscillation through chaotic motions; the other begins at a small oscillation as the consequence of tangent instability. The conclusion is confirmed by numerical method.

关 键 词：参数激励 横摇 混沌运动 船舶 稳性 纵浪 共振 

分 类 号：U661.22[交通运输工程—船舶及航道工程]