船舶横摇与纵摇运动的非线性耦合方程  

NONLINEAR COUPLING EQUATIONS FOR SHIP ROLLING AND PITCHING MOTIONS

作　　者：郑俊武[1] 唐友刚[1] 孟昭寅 董艳秋[1] 张延峰 

机构地区：[1]天津大学建筑工程学院

出　　处：《天津大学学报》1998年第6期737-740,共4页Journal of Tianjin University(Science and Technology)

基　　金：国家自然科学基金

摘　　要：以欧拉角描述船舶的摇摆运动，考虑规则波浪力及船舶受定常力矩的情形，将水动力展为Ｔａｙｌｏｒ级数，利用欧拉动力学方程推导出船舶横摇与纵摇二自由度耦合的非线性运动方程，为船舶内共振运动响应动力行为分析奠定基础．In this paper,the Euler angle is used to describe the rotation of a ship.After employing Taylor series expansions to determine the hydrodynamic load on the hull of a ship,and considering the wave excitation moment and a stationary moment,the nonlinear coupling equations for ship rolling and pitching motions can be formulated by means of the Euler dynamic equation.This work is the basis of the dynamic behaviour analysis of the internal resonance of a ship.

关 键 词：船舶运动 非线性耦合 运动方程 横摇 纵摇 

分 类 号：U661.321[交通运输工程—船舶及航道工程]