各柱做不同辐射运动时截头圆柱群的水动力分析

THE HYDRODYNAMIC ANALYSIS FOR ARRAYS OF TRUNCATED CIRCULAR CYLINDERS PERFORMING DIFFERENT RADIATION MOTIONS

截头圆柱群是许多海洋浮式结构的主要组成部分。目前对这种圆柱群进行的水动力分析大多考虑将其作为一个整体,此时各柱间无相对位置变化,这并不适用于柱间有相对运动的情况。为此,采用特征展开法研究各柱做不同辐射运动时截头直立圆柱群的水动力相互作用。开展了截头圆柱群中各柱做不同幅值纵荡、横荡和垂荡运动时的波浪辐射分析,并求得流场速度势。在进行算例考核之后,进一步计算了多个圆柱同时做不同模态、不同幅值运动时截头柱群的水动力、压力分布等量,并对结果进行了分析。

Arrays of truncated circular cylinders are the main components of many offshore floating structures. Most analyses on the hydrodynamic interactions among cylinders for such cylinder groups usually considered the instance that cylinder arrays react to loads as one whole body, namely that there is no relative position variations between each cylinder of the arrays. Such analysis is not applicable for the case that there are relative motions among cylinders. Then the method of eigenfunction expansion was used to study the hydrodynamic interactions among tnmcated circular cylinders. The radiation and diffraction by truncated cylinders in which each cylinder performing surge, sway and heave motions with different amplitudes are analyzed. The velocity potential is obtained. After degenerate case comparisons, hydrodynamic forces and pressure distributions are calculated for more complicated cases, in which multi-cylinders perform different mode oscillations with different amplitudes simultaneously.