系泊多浮体系统波浪运动响应的动力学分析

首先介绍了用势流理论和刚体动力学方程 ,分析系泊单浮体波浪运动响应的频域理论。对于铰联结系泊多浮体系统 ,将其作为铰联结无根树系统 ,用多刚体力学 Huston方法进行了运动学分析。选定广义速率后用其表达出多浮体系统的各种有关运动量。进而使用多刚体力学的 Kane方程 ,并补充以必要的运动学约束关系 ,导出了求解系泊多浮体系统各浮体质心位移和摇荡角位移的动力学方程组。最后归结为可求解各项位移、角位移幅值和相位的复数线性代数方程组。

Dynamic Analysis of Moored Multi-Body Floating System's Responses to Regular Waves

A frequency domain theory based on potential flow theory and rigid body dynamic equations is introduced to analyse the response of single moored float body to regular waves. The Huston method, a rigid multi body kinematic analysis method, is used to analyse the hinged multi body floating system which is treated as hinged rootless system here. All the kinematic variables of the system are expressed as the functions of the chosen generalized speeds. With the Kane equations and the necessary relations in kinematics, the dynamic equations are deduced for moored multi body floating system. Finally, the linear complex equations are built to obtain all the amplitudes and phases of all the displacements and angular displacements.