This paper digs deeper into the phenomenon of wave oscillation that is caused by external forces, such as air pressure and seismic vibrations. This would eventually lead to potentially dire consequences, particularly in coastal areas. In order to solve this issue, this study focuses on adding a rigid breakwater at the bottom of the basin to minimize the aforementioned damages. We will be looking at a semi-closed basin with triangular width and either constant or triangular depth, to which is added one block of the submerged breakwater with smooth and rough surfaces. We will employ the modified shallow water equations to obtain the analytical natural period for each basin type. After that, numerical simulations are carried out to check the presence of resonance phenomena in each basin. Additionally, the study investigates the crucial role of the friction coefficient in preventing resonance in basins with rough-surfaced submerged breakwaters. The aim is to explore whether a single block of smooth-surfaced submerged breakwater is sufficient to eliminate resonance or whether other conditions are necessary to halt the resonance phenomenon in each basin. Ultimately, the findings of this study hold potential benefits for individuals involved in the planning and construction of harbors and protective structures. By gaining a deeper understanding of wave oscillation and resonance in semi-closed basins, the research aims to contribute valuable insights for creating more effective and resilient coastal protection measures.

中文翻译：

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在不同宽度的通道中使用刚性水下防波堤减轻波浪共振

本文深入探讨了由气压和地震振动等外力引起的波浪振荡现象。这最终将导致潜在的可怕后果，特别是在沿海地区。为了解决这个问题，本研究的重点是在盆地底部添加刚性防波堤，以尽量减少上述损害。我们将看到一个具有三角形宽度和恒定或三角形深度的半封闭盆地，其中添加了一块具有光滑和粗糙表面的水下防波堤。我们将采用修改后的浅水方程来获得每种盆地类型的解析自然周期。之后，进行数值模拟以检查每个盆地是否存在共振现象。此外，该研究还调查了摩擦系数在防止具有粗糙表面水下防波堤的盆地中发生共振方面的关键作用。目的是探讨单块表面光滑的水下防波堤是否足以消除共振，或者是否需要其他条件来阻止每个盆地的共振现象。最终，这项研究的结果对参与港口和防护结构规划和建设的个人具有潜在的好处。通过更深入地了解半封闭盆地的波浪振荡和共振，该研究旨在为制定更有效、更有弹性的海岸保护措施提供宝贵的见解。