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本文采用比例边界有限元方法(SBFEM),获得了三维短峰波对带双层开孔外筒的圆筒新型结构水动力相互作用的半解析解.SBFEM综合了有限元(FEM)和边界元(BEM)法的优点,使问题降阶一维,而又不需要基本解,不出现奇异性问题,自动满足无穷远边界条件.SBFEM将整个计算域分成两个有限子域和一个无限子域,利用变分原理推导出各个子域波浪速度势沿径向变化所应满足的二阶常微分方程组(SBFEM控制方程),针对有限子域和无限子域分别采用贝塞尔函数和汉克尔函数作为基函数进行解析求解.数值算例表明,本文所推荐的方法只需对最外筒边界进行离散,采用少数节点便能得到高度精确的结果.与单层开孔圆筒结构波动场的比较,发现双层开孔结构对降低内筒所受波浪力效果更好.进一步分析了短峰波的波浪参数、结构的形状参数及材料参数对整个结构所受波浪荷载及计算域波浪爬升的影响,这为带双层开孔外筒的圆筒结构的水动力分析和结构设计提供了有价值的参考.
In this paper, a semi-analytical solution of the three-dimensional short-wave to the hydrodynamic interaction of a new cylindrical structure with double-layer perforated cylinders is obtained by using the proportional boundary finite element method (SBFEM) .SBFEM combines the finite element (FEM) (BEM) method, the problem is reduced to one dimension without any problem of singularity without any singularity problem, so that the boundary condition of infinity is automatically satisfied. SBFEM divides the whole computational domain into two finite sub-domains and one infinite sub-domain , The second order ordinary differential equations (SBFEM governing equations) that the wave velocity potential of each subdomain should meet along the radial direction are deduced by using the principle of variational principle. Bessel functions and Hank’s The numerical examples show that the proposed method only needs to discretize the outermost cylinder boundary and can obtain highly accurate results with a few nodes.Compared with the single-layer open-ended cylindrical structure wave field , It is found that the double-hole structure is more effective in reducing the wave forces on the inner cylinder.The wave parameters of the short-wave, the shape parameters of the structure and the influence of the material parameters on the wave load of the whole structure and the calculation of the domain wave This study provides a valuable reference for the hydrodynamic analysis and structural design of cylindrical structures with double-layer perforated tubes.