二维驳船结构在规则波作用下的高频共振响应研究

Research of the high frequency resonance of a two dimensional barge induced by regular waves

基于势流理论建立二维完全非线性数值波浪水槽模型,利用该模型对二维驳船结构在非线性规则波作用下的高频共振响应进行了研究.采用高阶边界元方法解决边界值问题,应用混合欧拉-拉格朗日方法和四阶龙格库塔法模拟结构物与波浪的相互作用,引入虚拟函数法耦合求解波浪载荷与物体运动.计算了浮动驳船结构在规则波作用下的运动,并将数值结果与实验值进行了对比验证.当入射波浪的3倍频等于物体横摇方向固有频率时,物体横摇运动发生的高频共振现象,并分析了其影响因素.基于完全非线性数值波浪水槽模型探究了高频共振响应现象的发生机理,为今后海洋工程结构物的高频共振响应问题做有益探索.

A resonant behavior of the roll motion of a two dimensional (2D) barge in nonlinear regular beam waves of low frequency has been investigated through the velocity potential theory. The higher order boundary element method (BEM) is adopted to slove the boundary value problem. The mixed Eulerian-Lagrangian (MEL) technique and the fourth-order Runge-Kutta time stepping scheme are used to simulate the interaction of waves and the floating barge. The auxiliary functions are introduced to calculate wave loads and the coupled motion. In this paper, numerical results of a floating barge in regular beam waves are presented with the verification of the experimental results. The resonant behavior of roll motion direction and the influencing factor of the ringing phenomenon have been investigated. Based on the fully nonlinear numerical wave tank, the mechanism of the ringing has been investigated which could be useful reference in the research of the ringing phenomenon of ocean engineering structure in the future.