波浪作用下单浮墩动力稳定性研究

Yikuan He, Bing Han, Wen-yu Ji
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摘要

考虑浮桥上部结构的约束效应、线性单色波的衍射效应和辐射效应,推导了浮桥动力响应方程,分析了影响浮桥动力稳定的因素。根据势流理论,将计算区域划分为内部区域和外部区域。采用匹配特征函数展开法(MEEM)求解了波的衍射和辐射问题。在得到波浪激振力、附加质量和辐射阻尼系数后,考虑浮桥上部结构的约束作用,建立浮桥的运动微分方程,得到浮桥的响应幅值算子(RAOs)。分析了上部结构跨度、质量和刚度以及浮墩吃水深度、尺寸和净高对波浪作用下浮墩动力稳定性的影响。结果表明:上部结构跨距的增大会显著提高结构的横摇和升沉峰值RAOs,刚度的增大有助于降低结构的横摇和升沉峰值RAOs;浮墩半径的增大可以减小船体的升沉RAO,浮墩水面的净高度增加了船体的升沉和横摇。
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Study on Dynamic Stability of Single Floating Pier Under Waves
Considering the upper structure restraint effect of the floating bridge, the diffraction effect and radiation effect of linear monochromatic waves, the dynamic response equation of floating pier is derived and the factors affecting the dynamic stability of the floating pier are analyzed in this paper. Based on the theory of potential flow, the calculation domain is divided into the interior region and the exterior region. The wave diffraction and radiation problems are solved by the matched eigenfunction expansion method (MEEM). After obtaining the wave excitation force, additional mass and radiation damping coefficient, considering the restraint effect of the upper structure of the floating bridge, the motion differential equation of the floating pier is established, and the response amplitude operator (RAOs) of the floating pier is obtained. The effects of span, mass and stiffness of upper structure, as well as the draft depth, size and net height of floating pier on dynamic stability of floating pier under wave are analyzed. The results show that the increase in the span of upper structure will significantly increase the peak RAOs of sway and heave, and the increase in stiffness is helpful to reduce the peak RAOs of sway and heave. The increase of the floating pier radius can reduce the heave RAO, and the net height on the water surface of the floating pier increases the heave and roll.
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