摘要
船舶运动时的阻尼和刚度非线性,导致船舶大幅运动时横摇和纵摇之间的耦合。本文依据作者建立的船舶纵摇与横摇耦合的非线性方程,考虑强海浪激励情况以及纵摇和横摇的频率特征存在2∶1的内共振关系,采用非线性动力学中的多尺度方法,求出了横摇和纵摇运动的摄动解,研究了亚谐共振发生的条件,给出了亚谐共振状态下船舶纵摇与横摇运动的动力学特征。研究表明:船舶亚谐共振的发生取决于波浪遭遇频率和纵摇频率的比值以及波浪激励的大小;船舶运动发生亚谐共振时,船舶出现大幅运动甚至倾覆。
The nonlinear damping and stiffness of a ship motion in the seas result in the coupling motion between rolling and pitch in big amplitude.Based on the nonlinear equations of rolling and pitching coupling motion by authors,and considering the strong wave excitation and the2∶1internal resonance relation of nature frequencies characteristic for rolling and pitch,the perturbation solution of rolling and pitch motion is obtained with multiply time scale method in dynamics and the sub-harmonic resonance condition is investigated,the dynamics characˉteristics of rolling and pitch motion under the sub-harmonic resonance are given.It is shown that the sub-harˉmonic resonance depends on the ratio of wave frequency and pitch frequency as well as the wave excitation,and the sub-harmonic resonance will result in the big motion of a ship or lead to capsizing of a ship.
出处
《船舶力学》
EI
2003年第1期12-17,共6页
Journal of Ship Mechanics
基金
国家自然科学基金资助项目(59679002)
关键词
船舶运动
非线性
纵摇-横摇耦合
亚谐共振
nonlinear motion of ship
pitch-rolling coupling
sub-harmonic resonance
