An analytical approximation of focusing-wave-induced load on a semi-submerged cylinder
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摘要: 由于畸形波的物理机制较复杂,有关畸形波-结构物相互作用的理论研究进展缓慢。然而对于较简单的畸形波模型与规则结构体,可以给出畸形波-结构物相互作用的理论解。本文基于畸形波的一种基本模型聚焦模型,采用解析方法研究其对半浸没圆柱体产生的波浪载荷。为保留畸形波的大部分特征,聚焦模型采用高斯包络描述。通过流场分隔给出绕射势,进而给出圆柱所受水平波浪力与波浪弯矩。采用适当方法简化理论公式,并与数值结果进行对比验证。此外,系统分析了聚焦程度、浸没深度与聚焦位置等参数对波浪载荷的影响。Abstract: Owing to the complexity of the physical mechanisms of rouge waves, the theoretical study of the rogue-wave-structure interaction problems still makes little progress. However, for regular-shaped structures, it is possible to give a theoretical analysis, if a relatively simple model of the rogue waves is used. The wave load, induced by a focusing wave which is known as an intuitive basic model of the rouge waves, upon a semi-submerged cylinder is studied analytically. The focusing wave is approximate by the Gauss envelope wave, an ideal model which contains most features of the rogue wave. The diffraction velocity potential is derived through the separation of flow field, and the formulas of the horizontal force and bending moment are proposed. The derived formulas are simplified appropriately, and validated through comparison against numerical results. In addition, the influence of parameters, such as the focusing degree, the submerging depth and the wave focusing position, is thoroughly investigated.
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Key words:
- focusing wave /
- Gauss envelope /
- semi-submerged cylinder /
- potential theory /
- analytical solution
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