关于自由面压力脉动与摇板造波的等价性

ON THE EQUIVALENCE BETWEEN THE FREE SURFACE DISTRIBUTION PRESSURE PULSATING AND WAVEMAKING BY A FLAT PLATE TYPE WAVE GENERATOR

摘要: 考虑了一个逆问题，即在浮体运动和自由面压力分布之间是否存在某种等价性？作为这一方向努力的一部分，从二维半无限长水槽摇板造波的特例出发考察了这个问题．基于线性势流理论，导出了自由面压力分布应满足的带复数核的第一类Ｆｒｅｄｈｏｌｍ积分方程，并用正则化方法得到了这类不适定的积分方程的近似正则解．结果表明，自由面压力脉动与摇板造波之间的等价性可以通过解相应的逆问题来解决．

Abstract: An inverse problem aimed to find the equivalence relationship between the free surface pressure distribution and floating body motionis considered in the present paper. We choose a simple wave generation problem in a 2 D wave tank for analysis, in the linear potential regime,a Fredholm integral equation of the first kind with a complex kernel that determines the free surface pressure distribution is obtained.Regularization approach is adopted to tackle this ill posed integral equation. The present stu...