系泊多浮体系统流固耦合和浮体间耦合动力分析

Dynamic Analysis of a Mooring Multi-body System coupled with Fluid and among Bodies

利用多刚体力学运动学方法进行系统结构的数学描述。以系统摇荡时各浮体质心位移和浮体角位移表达广义速率。进而表达出有关偏速度、偏角速度、加速度和角加速度。单个系泊浮体在规则波作用下 ,所受的流体动压力用势流理论计算。多浮体系统摇荡时除入射规则波外 ,每一浮体的摇荡辐射波对其他浮体也构成了入射波并作用以流体动压力。表达出系统的广义主动力和广义惯性力后代入 Kane方程 ,补充以浮体间的运动约束方程 。

The existing kinematics method of multi rigid body dynamics is extended to describe themotions of a floating mooring system. Taking the relative angular displacement between the adjacent bodies. the displacement of the center of each body as the generalized velocities, the linear partial derivatives of the linear and angular velocities, the linear and the angular accelerations of each body can be expressed. In regular waves, the hydrodynamic forces acting on a single floating body can be obtained from the potential flow theory. For a floating multi body system, the incident waves are comprised of the incident regular waves and the radiation waves of other floating bodies. When the expressions of the generalized initiative forces and the generalized inertial forces are obtained, and substituted to the Kane equations, the equations of motion can be obtained. By applying the kinematics restriction conditions, and eliminating the time factor, a set of complex linear equations for solving the motions of all the bodies are finally derived.