有限水深环境中圆柱与圆柱基座之间激振力的研究

Research on Exciting Forces for a Pair of Coaxial Hollow Cylinder and Bottom-Mounted Cylinder

考虑两个同轴的竖直圆柱体,其中一个是实心基座,作为沉箱的近似,另一个是空心圆柱体.这两个圆柱体表现出的衍射现象可以看做是一种波浪能装置.将这些产生的能量转化以后可以得到广泛的实际应用.在各项参数都确定的区域,本文用变量分离的方法得到解析表达式.沿着虚拟边界,通过使用适当的匹配条件,推导和解出了一个含有未知参数的线性系统.由各种可能的解析表达式可得到各个圆柱体的激振力.针对不同的半径和间隙,得到一个激振力的序列.激振力随着半径和间隙的变化而改变.本文用图表的形式描述了这个结果,并进行了对比,最终发现,激振力只有在低频的时候才更加明显.

We consider two coaxial vertical cylinders, one of which is a solid base, the other is a hollow cylinder as caisson approximation, and the two cylinders shown by the diffraction phenomenon can be seen as a wave energy device. These energy generated after conversion can be a wide range of practical applications in clearly identified regions. We use the method of separation of variables to obtain the analytical expressions for the diffracted potentials in clearly identified regions. Using the appropriate matching conditions, we derive the linear system with unknown parameters. A set of exciting forces are obtained for different radii of the cylinders and for different gaps between the cylinders. It is clear that the exciting force changes as the radius and the gap changes. We describe and compare the result with the chart. Only in the low frequency, exciting force is obvious.