Theoretical analysis of harbor resonance in harbor with an exponential bottom profile
Theoretical analysis of harbor resonance in harbor with an exponential bottom profile
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DOI：
10.1007/s13344-015-0058-3
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发表时间：
2015-11
影响因子：
1.6
通讯作者：
G. Wang;Jin-hai Zheng;Q. Liang;Wei Zhang;Chen Huang
中科院分区：
文献类型：
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作者：
G. Wang;Jin-hai Zheng;Q. Liang;Wei Zhang;Chen Huang
用解析的方法研究了指数型矩形港池内的一般振荡特征。在线性浅水近似的基础上，用匹配渐近法得到了垂直入射波引起的纵向振动的解析解。分析结果表明，随着水深的增加，共振频率向更大的方向移动，浅滩效应使振荡幅度增大。当港湾宽度在振荡波长数量级时，由于折射效应，可能存在几个横向振动模。这些横向振荡类似于驻波，在长岸方向有多条节线，近海方向有多条节线，对应的是(n，m)模。此外，横向特征频率不仅与港口的宽度有关，还与后壁的边界条件和船底的形状有关。
The general features of oscillations within a rectangular harbor of exponential bottom are investigated analytically. Based on the linear shallow water approximation, analytical solutions for longitudinal oscillations induced by the incident perpendicular wave are obtained by the method of matched asymptotics. The analytic results show that the resonant frequencies are shifted to larger values as the water depth increases and the oscillation amplitudes are enhanced due to the shoaling effect. Owing to the refraction effect, there could be several transverse oscillation modes existing in when the width of the harbor is on the order of the oscillation wavelength. These transverse oscillations are similar to standing edge waves, and there aremnode lines in the longshore direction andnnode lines running in the offshore direction corresponding to mode (n,m). Furthermore, the transverse eigen frequency is not only related to the width of the harbor, but also to the boundary condition at the backwall and the bottom shape.