Theoretical Analysis of Harbor Resonance in Harbor with An Exponential Bottom Profile  

作　　者：王岗 郑金海 梁秋华 张蔚 黄诚 

机构地区：[1]State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University [2]College of Harbor Coastal and Offshore Engineering, Hohai University [3]State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology [4]School of Civil Engineering & Geosciences, Newcastle University [5]China Petroleum Pipeline Bureau No. 6 Construction Company

出　　处：《China Ocean Engineering》2015年第6期821-834,共14页中国海洋工程（英文版）

基　　金：financially supported by the National Natural Science Foundation of China(Grant No.51209081);NSFC-RS Joint Projects(Grant No.51411130125);Open Foundation of State Key Laboratory of Coastal and Offshore Engineering(Grant No.LP1405);the Fundamental Research Funds for the Central Universities(Grant No.2015B15714)

摘　　要：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 are m node lines in the longshore direction and n node 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.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 are m node lines in the longshore direction and n node 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.

关 键 词：harbor resonance oscillations SEICHES long-waves shallow water equations 

分 类 号：U652.3[交通运输工程—港口、海岸及近海工程]