直立圆柱二阶波浪力解析解

大直径直立圆柱体上的二阶波浪力目前已有一些研究结果，但仍存在一些值得进一步探讨之处。这一方面在于二阶辐射条件还不甚清楚：另一方面在于已有的二阶力公式或是所含积分的收敛精度不易保证，或是表达式繁杂，不利于实际计算。本文在求解这一问题时，不是对二阶势提出辐射条件，而是对二阶势的周向富里叶分量提出辐射条件──Ｓｏｍｍｅｒｆｅｌｄ辐射条件。求解中，利用本文推导出的数学公式，简化了二阶自由面条件非齐次项的表达式，得到了形式简单，易于计算的二阶波浪力精确公式。二阶力计算结果与实验结果吻合良好。

An Anayntical Solution of the Second-Order Wave Force on a Vertical Circular Cylinder

An analytical solution of second-order diffraction potential for a vertical circular cylinder of large diameter is presented in this paper. The problem of second-order radiation condition is discussed and it is concluded that the circum-ferential components of the second-order potential have to satisfy the Sommerfeld radiation condition. By using the mathematical formulas derived in this paper,the inhomogeneos terms of second-order free surface boundary condition are exp-ressed in such a way that the particular solution of the second-order potential can be easily written out.The exact expression of the second-order wave force given in this method is simple and easy to be caculated numericully. Numerical results are also compared with expevimental values.