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。 The equivalence between free surface pressure distribution and floating body motion is a new type of inverse problem. In this paper, the problems of radiation and diffraction of large-diameter vertical cylindrical piles are investigated, and the corresponding free surface pressure distribution solutions are sought. The research shows that the determination of the solution can still be attributed to the solution of the first Fredholm integral equation with complex kernels. The regularization solution method is very effective. In this paper, the influence of parameters such as water depth and vibration frequency on the free surface pressure distribution is discussed.