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Wave force on vertically submerged circular thin plate in shallow water

机译:浅水中垂直淹没圆形薄板的波浪力

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The paper presented is a solution of shallow water wave force, using small amplitude linear wave theory on two-dimensional vertically submerged circular thin plates under three different configurations: (1) a surface-piercing circular thin plate, (2) a submerged circular thin plate, and (3) a bottom-standing circular thin plate. Finally Morison's equation is used for the determination of wave force which is based on the linear wave theory. The plate is submerged in water near the shore on uniformly sloping bottom. The solution method is confined in a finite domain, which contains both the region of different depth of water and the plate. Laplace's equation and boundary value problems are solved in a finite domain, by the method of separation of variables and the small amplitude linear wave theory. The variation of horizontal force by single particle, total horizontal force and moment with respect to the wave amplitude are obtained at different depth of water and at different wave period. It is observed that the force and moment are converging with the increase of wave period and the gradients of force and moment with respect to the wave amplitude are extremely high for lower wave period.
机译:本文提出的是浅水波力的一种解决方案,它使用小振幅线性波理论对二维垂直淹没的圆形薄板在三种不同配置下的应用:(1)穿孔表面的圆形薄板,(2)淹没的圆形薄板板;以及(3)底部圆形的薄板。最后,基于线性波动理论,使用莫里森方程确定波动力。该板浸在均匀倾斜底部的岸边的水中。求解方法仅限于有限域,该域既包含水深不同的区域,又包含板块。通过变量分离法和小振幅线性波理论,在有限域内解决了拉普拉斯方程和边值问题。在不同的水深和不同的波浪周期下,获得了单粒子水平力,总水平力和力矩相对于波幅的变化。可以看出,力和力矩随着波浪周期的增加而收敛,并且对于较低的波浪周期,力和力矩相对于波幅的梯度非常高。

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