大直径桩柱辐射与绕射问题的自由面压力分布解

关于自由面压力分布与浮体运动的等价性是一类新的逆问题。本文以大直径垂直圆柱桩的辐射和绕射问题为对象，寻求相应的自由面压力分布解。研究表明，该解的确定依然可以归结为含复数核的第一类Ｆｒｅｄｈｏｌｍ积分方程的求解问题，正则化解法是十分有效的。文中进而讨论了水深、振动频率等参数对自由面压力分布的影响。

A FREE-SURFACE PRESSURE DISTRIBUTION SOLUTION FOR THE RADIATION AND DIFFRACTION PROBLEMS OF PILES OF LARGE DIAMETER

The equivalence between the pressure distribution of free-surface and the motion of the floating body forms a new kind of inverse problem. In this paper, the solution of the problems of the radiation and diffraction of large-diameter piles, corresponding to the pressure distribution solution of free-surface of water body are obtained. In the study it shows that a first Fredholm integral equation with a complex kernel can still be formed for the inverse problem and the regularization method may be effectively used to obtain a stable unique solution. In the paper, the effects of the parameters,as the depth of the water,the vibration or the incident frequencies etc.,on the pressure distribution on the free-surface have been discussed also in detail.